The Visual Encyclopaedia · October 2026

Astronomy

100 chapters on the sky, the stars and the universe
by Mat Siems
Part I

The Night Sky

What you can see, and why it moves the way it does.

Chapter 1 · Part I

What Is Astronomy?

Astronomy is the study of everything beyond Earth's atmosphere: the Moon and planets, the Sun and the other stars, the galaxies, and the universe taken as a whole. The name joins the Greek astron, star, and nomos, law, and that is still the job: to find the rules the sky obeys. It is also a science that can touch almost nothing it studies. Apart from meteorites, about 380 kilograms of Apollo Moon rock and a few precious grams brought back from asteroids, every fact in this book was read from light and other messengers that crossed space to reach us.

It is the oldest science too. A baboon bone from the Lebombo Mountains of southern Africa, around 43,000 years old, carries 29 notches that some researchers read as a count of the Moon's phases; others are unconvinced. By c. 1600 BC the Nebra sky disc, found in Germany, shows a crescent Moon, a full disc and the Pleiades in gold on bronze. Babylonian scribes logged the planets on clay tablets for centuries and learned to forecast eclipses. Egyptian, Chinese, Maya, Polynesian and Aboriginal Australian sky-watchers built their own systems, for calendars, harvests and the navigation of open ocean.

Today the subject runs on several fronts, each with its own tools. Planetary science sends spacecraft such as Juno to Jupiter and the Perseverance rover to Mars. Stellar astrophysics splits starlight into spectra to read a star's temperature and make-up. Galactic astronomy maps our own Milky Way: between 2014 and 2025 ESA's Gaia satellite measured the positions and motions of nearly two billion stars. Cosmology treats the universe as a single object, from the Big Bang's afterglow charted by the Planck satellite to the three-dimensional galaxy maps of DESI in Arizona.

Light no longer works alone. Neutrinos from Supernova 1987A were caught in underground detectors hours before the explosion was seen, and on 14 September 2015 the LIGO detectors in the United States registered gravitational waves from two black holes merging over a billion light-years away. The James Webb Space Telescope, launched on Christmas Day 2021, and the Vera C. Rubin Observatory in Chile, which released its first images in 2025, push the reach of the eye further each year.

Did you know? Everything any telescope has ever seen, from planets to galaxies, is made of ordinary atoms that account for only about 5 per cent of the universe; the rest is dark matter and dark energy.

Astronomy is not astrology, though the two shared practitioners until the 17th century; Johannes Kepler cast horoscopes to pay the bills. Its practical gifts are real: calendars, navigation, the law of gravity, and even a piece of Wi-Fi, patented in the 1990s by Australian engineers who borrowed techniques from radio astronomy. Amateurs still find comets and supernovae. Anyone who looks up is doing the oldest experiment there is.

One sky, five fronts: how astronomy is organised Every fact here was read from light and messengers crossing space. Astronomy astron + nomos · the law of the stars The oldest science c. 43,000 BP Lebombo bone c. 1600 BC Nebra sky disc 2021 JWST launch Planets Spacecraft Juno · Juice flybys, rovers Sample return Apollo · 382 kg OSIRIS-REx 1 Stars Spectra temperature composition Photometry brightness TESS · Kepler 2 Galaxies Gaia 1.8 bn stars 2014-2025 Radio maps 21 cm hydrogen spiral arms 3 Cosmology Planck Big Bang glow 2009-2013 DESI 3D galaxy map Kitt Peak 4 Messengers LIGO grav. waves 14 Sep 2015 IceCube neutrinos South Pole 5
Fig 1 · What Is Astronomy?. One science, five fronts: the branches and messengers of modern astronomy
Chapter 2 · Part I

The Celestial Sphere

Stand in a field at night and the sky looks like the inside of a vast dome. Greek thinkers such as Eudoxus, around 370 BC, took that impression literally and pictured the stars fixed to a crystal shell. We now know the stars lie at wildly different distances, but the idea survives as the celestial sphere: an imaginary globe of infinite size centred on Earth, onto which every object is projected. It is a fiction, and an extremely useful one.

Project Earth onto the sphere and you get its map. Extend the planet's axis and it pierces the sky at the north and south celestial poles. Earth's equator, pushed outwards, becomes the celestial equator. The point directly overhead is the zenith, the line where sky meets ground is the horizon, and the meridian runs from north to south through the zenith. Across all of this the Sun traces a yearly path called the ecliptic, tilted 23.4° to the celestial equator and crossing it at the two equinoxes.

Positions work like latitude and longitude. Declination runs from +90° at the north celestial pole to −90° at the south. Right ascension is measured eastwards in hours, from 0 to 24, because the sky turns 15° every hour; its zero is the March equinox point. Sirius sits at about 6 hours 45 minutes and −16.7°. Polaris lies about two-thirds of a degree from the north pole, a little more than the width of the full Moon. The height of the pole above your horizon equals your latitude: from London Polaris hangs 51.5° up, from the equator it sits on the horizon, and the south celestial pole has no bright star at all, only faint Sigma Octantis.

The sphere also drifts. Around 130 BC Hipparchus compared his star positions with records made a century and a half earlier and found that they had all shifted. The cause is precession: Earth's axis wobbles like a spinning top, tracing a circle every 25,800 years or so. Thuban in Draco was the pole star when the pyramids of Giza were built, and bright Vega will come close to the role around AD 14,000. The March equinox point, still called the First Point of Aries, now lies in Pisces.

Did you know? Because the sky's grid slowly slides, every star catalogue must state a date; today's standard, J2000, describes the heavens as they stood at noon on 1 January 2000.

Since 1998 the official frame has been anchored not to stars at all but to hundreds of distant quasars, pinpointed by radio dishes thousands of kilometres apart, and Gaia tied it to visible light. Every telescope mount, star chart and planetarium app relies on that frame. The sphere is imaginary, but the map is exact enough to find a galaxy 10 billion light-years away on the first try.

The celestial sphere: a fiction with exact coordinates Imaginary globe, precise map: any telescope can find any star. not to scale · Earth at the centre Earth North celestial pole Polaris ~0.65° away South pole Sigma Octantis, mag 5.4 1 Celestial equator declination 0° Sky coordinates Dec: +90° to -90° RA: 0-24 h, 1 h = 15° Sirius: 6h 45m, -16.7° 2 March equinox RA 0 h Ecliptic tilted 23.4° 3 Horizon London, 51.5° N Zenith Your horizon pole altitude = latitude London: Polaris at 51.5° equator: on the horizon 4 Precession: pole drifts one circle ~25,800 years c. 2700 BC Thuban (Draco) today: Polaris c. AD 14,000 Vega 5
Fig 2 · The Celestial Sphere. The imaginary globe of the sky, with its poles, equator, ecliptic and horizon
Chapter 3 · Part I

Constellations

To an astronomer a constellation is not a stick figure but a piece of territory. In 1922 the International Astronomical Union adopted an official list of 88, and the Belgian astronomer Eugène Delporte then drew their borders along lines of right ascension and declination; the boundaries were approved in 1928 and published in 1930. Every point of the sky now belongs to exactly one constellation, so a newly found comet, nova or galaxy arrives with a ready-made address.

The names are far older than the borders. Forty-eight come from Ptolemy's Almagest, written in Alexandria around AD 150 and drawing on Greek and Babylonian lore. Dutch navigators charted the southern sky in the 1590s and added a dozen, including the Phoenix and the Toucan. In 1751–52 Nicolas-Louis de Lacaille catalogued the southern stars from the Cape of Good Hope and invented 14 more, named after the instruments of the Enlightenment, such as Telescopium and Microscopium. He also broke Ptolemy's unwieldy ship Argo Navis into Carina, Puppis and Vela.

A constellation is a trick of perspective. The stars of Orion look like a single figure but lie at very different depths: Bellatrix is about 250 light-years away, Betelgeuse about 550, Rigel about 860, and Alnilam, the middle belt star, well over 1,000. We know because the Hipparcos and Gaia satellites measured each star's parallax, the tiny annual shift caused by Earth's orbit. Seen from another star system, the hunter would fall apart. Many familiar shapes are not constellations at all but asterisms: the Plough, or Big Dipper, is only part of Ursa Major, and the Summer Triangle borrows its corners from three different constellations.

The figures also move. Five of the Plough's seven stars belong to the Ursa Major Moving Group, travelling together through space, while Dubhe and Alkaid head elsewhere; over roughly 100,000 years the saucepan will bend out of shape. Sizes vary enormously. Hydra, the largest constellation, covers 1,303 square degrees, while Crux, the Southern Cross, covers just 68, yet it appears on the flags of Australia, New Zealand, Brazil, Papua New Guinea and Samoa.

Did you know? The Sun spends longer each year in Ophiuchus, the Serpent Bearer, than in neighbouring Scorpius, yet Ophiuchus has never been a sign of the zodiac.

Other cultures carved up the same sky differently. Aboriginal Australians trace the Emu in the Sky in the dark dust lanes of the Milky Way, from the Southern Cross to Scorpius, and its position through the year marked the season for gathering emu eggs. Classical Chinese astronomy divided the heavens into some 283 asterisms. The 88 official regions are a convention, but a priceless one: astronomy's postcode system, and the first thing anyone learns when they start to find their way around the dark.

Orion: a flat figure with a deep interior Constellations are agreements on a map, not families of stars. star chart · RA increases to the left 5h 00m 6h 00m Dec 0° +15° Bellatrix and Alnilam: same figure, about a thousand light-years apart IAU border Delporte, 1930 1 Betelgeuse Bellatrix Rigel Saiph Belt Alnilam 2 Depth view: distance Bellatrix ~250 ly Betelgeuse ~550 ly Rigel ~860 ly Alnilam 1,000+ ly parallax: Hipparcos, Gaia 3 Where the 88 came from 48 12 14 + 48 Ptolemy · 12 Dutch navigators 14 Lacaille · rest: Hevelius, others 4 Largest and smallest Hydra 1,303 sq deg Crux 68 sq deg areas to scale 5
Fig 3 · Constellations. Orion's flat pattern hides stars at very different depths inside its IAU boundary
Chapter 4 · Part I

Why the Sky Turns

Every star rises in the east and sets in the west, yet nothing in the night sky is doing the moving. Earth spins from west to east, and we ride along. Measured against the distant stars, one turn takes 23 hours 56 minutes and 4 seconds, a sidereal day. The familiar 24-hour solar day is about four minutes longer because Earth also moves roughly one degree along its orbit each day, so it must turn a little extra to bring the Sun back to the same place. The result is that each star rises about four minutes earlier every night, two hours a month, which is why the winter and summer skies show different constellations.

The speeds are startling. A point on the equator travels at about 1,670 kilometres per hour, and London, at latitude 51.5°, moves at around 1,040. The sky therefore turns 15° every hour. Leave a camera shutter open and the stars draw star trails, concentric arcs around the celestial pole, with Polaris leaving the shortest scratch of all. Stars close enough to the pole never set: from London, Ursa Major and Cassiopeia are circumpolar and can be seen on any clear night of the year.

For most of history the obvious reading was the reverse: a fixed Earth under a turning sky. The direct proof came in 1851, when the French physicist Léon Foucault hung a 28-kilogram ball from a 67-metre wire under the dome of the Panthéon in Paris. A swinging pendulum keeps its plane of swing fixed in space, so the floor turned beneath it. At Paris the plane crept round clockwise by about 11° an hour, completing a circle in roughly 32 hours. At the North Pole it would take one sidereal day; at the equator it would not turn at all. The same spin twists hurricanes anticlockwise north of the equator and clockwise south of it.

Today Earth's rotation is tracked to a fraction of a millisecond by radio telescopes timing distant quasars, and the record shows the planet slowing. Tides raised by the Moon act as a brake, adding roughly 1.8 milliseconds per century to the length of the day; ancient Babylonian and Chinese eclipse records confirm the drift. Clocks have needed 27 leap seconds since 1972, though none since 2016, and the world's timekeepers have agreed to stop adding them by 2035.

Did you know? Fossil corals from about 380 million years ago grew some 400 daily layers per year, so a day back then lasted only about 22 hours.

The turning sky is the reason for night itself, for the rhythm of rising and setting that every calendar counts, and for the circumpolar stars that steered sailors home. Nothing up there is wheeling around us. We are the merry-go-round.

Foucault's pendulum: the floor turns, not the swing The swing holds still in space while the whole Earth turns beneath it. Panthéon, Paris · 1851 · not to scale floor of the nave 67 m wire under the dome 28 kg bob brass-coated 1 Swing plane turns ~11° per hour, clockwise 2 One full turn takes North Pole ~24 h Paris 48.9° N ~32 h Equator never 3 Two kinds of day sidereal 23 h 56 m 4 s solar 24 h 00 m 0 s gap: ~4 minutes a day 4 Ground speed Equator 1,670 km/h London 1,040 km/h Poles 0 5
Fig 4 · Why the Sky Turns. Foucault's pendulum: a swing that holds still while Earth turns beneath it
Chapter 5 · Part I

The Seasons

Seasons happen because Earth is tilted. Its spin axis leans 23.4° from upright relative to the plane of its orbit, and it keeps pointing the same way in space, towards Polaris, all year round. In June the northern hemisphere leans towards the Sun; six months later, on the far side of the orbit, the southern hemisphere does. The tilt changes two things at once: how high the Sun climbs, and how long it stays up.

Both matter. At noon in London the Sun stands about 62° above the horizon at the June solstice and only about 15° in December. A low winter Sun spreads the same beam of sunlight over more than three times the ground it covers in June, and its light passes through more atmosphere on the way. London also gets around 16 hours 38 minutes of daylight in midsummer against about 7 hours 50 minutes in midwinter. More hours of stronger light make summer; fewer hours of weak, slanting light make winter.

The most popular myth is that summer comes when we are closest to the Sun. In fact Earth reaches perihelion, its nearest point, around 3 January, at 147.1 million kilometres, and aphelion, its farthest, around 4 July, at 152.1 million. That 3 per cent change in distance alters sunlight by only about 7 per cent, and if distance ruled the seasons, both hemispheres would have summer at the same time. Kepler's second law adds a twist: Earth moves fastest near perihelion, so the northern summer half of the year, from the March to the September equinox, lasts about 186 days and the southern one about 179.

The year has four turning points. At the solstices, around 21 June and 21 December, the noon Sun stands overhead on the Tropic of Cancer or Capricorn, 23.4° from the equator, and beyond the Arctic and Antarctic Circles it never sets or never rises; at the poles each day and night lasts about six months. At the equinoxes, around 20 March and 22 September, day and night are close to equal everywhere. Ancient builders tracked these moments in stone: Stonehenge is aligned on the midsummer sunrise and midwinter sunset, and at Newgrange in Ireland, a tomb built around 3200 BC, the winter-solstice dawn shines down a passage into the inner chamber.

Did you know? Uranus is tilted by 98°, so it rolls around the Sun on its side; each pole gets about 42 years of continuous daylight followed by 42 years of night.

Even Earth's tilt is not fixed. It drifts between 22.1° and 24.5° over about 41,000 years, one of the slow orbital rhythms identified by Milutin Milanković that pace the ice ages, and our large Moon keeps the wobble small. A few degrees of lean decide when crops are sown, when birds migrate and when the ice comes. The tilt, not the distance, writes the calendar.

The tilted year: why seasons happen The tilt, not the distance, writes the calendar. orbit seen from above the plane · not to scale Sun axis tilt 23.4° · always points towards Polaris June solstice ~21 Jun · N leans in 1 Dec solstice ~21 Dec · S leans in 2 March equinox ~20 Mar · day = night Sept equinox ~22 Sep · day = night 3 Perihelion ~3 Jan · 147.1 M km Aphelion ~4 Jul · 152.1 M km nearest in northern winter 4 London noon Sun June 62° 16 h 38 m sun Dec 15° 7 h 50 m sun 5
Fig 5 · The Seasons. Earth's 23.4° tilt, not its distance from the Sun, writes the seasons
Chapter 6 · Part I

Phases of the Moon

The Moon makes no light of its own. It reflects about 12 per cent of the sunlight that falls on it, which makes it about as dark as worn tarmac; it only looks bright against the black sky. At every moment the Sun lights exactly half of it. What changes through the month is how much of that lit half is turned towards Earth, and that is all a phase is.

The cycle runs from new Moon to new Moon in 29.53 days, the synodic month. The Moon actually completes an orbit against the stars in 27.32 days, but in the meantime Earth has moved along its own orbit, so the Moon needs about two more days to line up with the Sun again. At new Moon it sits roughly between us and the Sun and is lost in the glare. A thin waxing crescent follows in the western evening sky; the first quarter, half lit, rises around midday and stands high at sunset; the waxing gibbous swells until the full Moon, opposite the Sun, rises at sunset and stays up all night. Then the sequence reverses through waning gibbous, last quarter, rising around midnight, and a waning crescent in the dawn.

A stubborn myth says the phases are Earth's shadow falling on the Moon. They are not: our shadow reaches the Moon only during a lunar eclipse. Another says the Moon has a permanent dark side. It does have a far side, because tidal forces have locked its rotation to its 27.3-day orbit, so the same face always points at us; but the far side gets just as much sunlight. It was first photographed by the Soviet probe Luna 3 in October 1959, China's Chang'e 4 landed there in January 2019, and Chang'e 6 brought back the first far-side samples in June 2024. A gentle rocking called libration lets us see about 59 per cent of the surface over time.

Look at a crescent Moon after sunset and the rest of the disc often glows faintly. Leonardo da Vinci explained this earthshine in his notebook known as the Codex Leicester, around 1510: it is sunlight bounced off Earth, which seen from the Moon would be nearly full when the Moon looks thin to us. How do we know the Moon's distance so well? Since 1969, observatories have fired lasers at reflectors left by Apollo 11, 14 and 15 and timed the echoes, measuring the average 384,400 kilometres to within millimetres.

Did you know? Those laser echoes show the Moon drifting away from Earth by about 3.8 centimetres a year, roughly the rate at which your fingernails grow.

The phases were humanity's first clock. The word month comes from the Moon; the Islamic calendar still runs on twelve lunar months of about 354 days, and the dates of Easter, Passover and Chinese New Year are set by the Moon. The strongest tides arrive near new and full Moon. The Moon changes shape only from where we stand. Geometry, made visible every night.

One lunation: the Moon's eight phases The Moon never changes shape; we see more or less of its sunlit half. orbit seen from above the north pole · not to scale Earth As seen from Earth, and when it rises Sunlight new 1st quarter full last quarter orbit: anticlockwise 1 New with Sun Waxing crescent morning First quarter ~noon Waxing gibbous afternoon 2 Full at sunset 3 Waning gibbous evening Last quarter ~midnight Waning crescent pre-dawn 4 Two kinds of month phases 29.53 days orbit 27.32 days Earth moves meanwhile 5
Fig 6 · Phases of the Moon. Half the Moon is always sunlit; the phase is how much of that half faces us
Chapter 7 · Part I

Eclipses

An eclipse happens when the Sun, Earth and Moon fall into a straight line. In a solar eclipse the Moon passes in front of the Sun, which can only happen at new Moon. In a lunar eclipse Earth's shadow falls across the Moon, which can only happen at full Moon. They do not happen every month because the Moon's orbit is tilted by about 5° to Earth's, so the three bodies line up only when a new or full Moon falls near one of the two crossing points, or nodes. These eclipse seasons come round about every 173 days, giving between four and seven eclipses of both kinds each year.

Total solar eclipses depend on a coincidence. The Sun is about 400 times wider than the Moon and, on average, about 390 times farther away, so the two discs look almost exactly the same size. When the Moon is near its farthest point it is slightly too small to cover the Sun and leaves a blazing ring, an annular eclipse. When it fits, its darkest shadow, the umbra, races across the ground in a track usually less than 270 kilometres wide at well over 1,700 kilometres per hour. Totality at any one spot lasts at most about seven and a half minutes; the longest this century, on 22 July 2009, gave 6 minutes 39 seconds. On 12 August 2026 totality crossed Greenland, Iceland and northern Spain, the first seen from mainland Spain since 1905, and on 2 August 2027 Luxor in Egypt will get more than six minutes. Britain must wait until 23 September 2090.

A lunar eclipse is gentler and safe to watch with the naked eye. Totality can last more than an hour and a half, and the Moon rarely vanishes; it turns coppery red because Earth's atmosphere bends sunlight into the shadow and filters out the blue. The red glow is, in effect, every sunrise and sunset on Earth at once. A solar eclipse, by contrast, must be watched through certified eclipse filters except during the brief moments of totality.

Eclipses have been laboratories for centuries. Babylonian astronomers found the saros, a cycle of 18 years, 11 days and 8 hours after which eclipses repeat. During an eclipse in India in 1868, the French astronomer Jules Janssen recorded a yellow line in the spectrum of the Sun's prominences that Norman Lockyer attributed to a new element, helium. In 1919 expeditions led by Arthur Eddington and Frank Dyson photographed stars beside the eclipsed Sun from Príncipe and Sobral and found their light bent as Einstein's general relativity predicted. Totality also reveals the corona, the Sun's outer atmosphere at one to three million degrees.

Did you know? In 1973 a prototype Concorde raced the Moon's shadow across Africa, giving scientists on board 74 minutes of totality.

The coincidence will not last. The Moon is drifting away by 3.8 centimetres a year, and in several hundred million years it will be too small to cover the Sun. We happen to live in the age of total eclipses, the greatest free show in nature.

Two eclipses: who stands in whose shadow Sun, Moon and Earth in one line: day turns to night, or the Moon to copper. same three bodies, different order · not to scale Solar eclipse · new Moon Lunar eclipse · full Moon Sun Sun Earth Moon 3,474 km penumbra: partial umbra: totality 1 Sun vs Moon 400× wider, 390× farther 2 Earth Moon in shadow coppery glow up to ~100 min Earth's umbra 3 Tilted orbit node ~5° · seasons 173 d 4 Eclipses in history 1868 helium found 1919 Einstein tested 2026 Spain totality 2090 next UK total 5
Fig 7 · Eclipses. Solar and lunar eclipses: the same three bodies, lined up in a different order
Chapter 8 · Part I

Starlight & Magnitude

Astronomers grade brightness with a scale invented more than two thousand years ago. Around 130 BC, tradition says, the Greek astronomer Hipparchus sorted the stars he could see into six classes, with the brightest of "first magnitude" and the faintest of "sixth"; Ptolemy preserved the system in the Almagest. The result is the apparent magnitude scale, and it runs backwards: the smaller the number, the brighter the object, and the very brightest have negative values.

In 1856 the English astronomer Norman Pogson made the scale exact. He noted that a first-magnitude star is roughly a hundred times brighter than a sixth-magnitude one and defined five magnitudes as precisely a factor of 100, so each step is a factor of about 2.512. The scale is logarithmic, which suits it to a sky that spans enormous ranges, and roughly mirrors the way our eyes judge brightness.

On this scale the Sun is −26.7 and the full Moon −12.7: a 14-magnitude gap, which means the Sun outshines the full Moon about 400,000 times. Venus reaches about −4.9 at its best, Jupiter −2.9 and Sirius, the brightest star of the night sky, −1.46. Polaris, at about +2.0, is only around the 48th brightest star, despite its reputation. The naked-eye limit under a truly dark sky is about +6 to +6.5. The Hubble Ultra Deep Field and the deepest images from JWST reach about +30, some four billion times fainter than the faintest star you can see.

Apparent magnitude mixes up two things: how luminous a star really is and how far away it is. So astronomers also use absolute magnitude, the brightness a star would have if placed at a standard distance of 10 parsecs, about 32.6 light-years. The Sun's absolute magnitude is +4.8, which would make it an unremarkable faint star; Rigel's is around −7, tens of thousands of times more luminous. Stars can change, too. Between late 2019 and February 2020 Betelgeuse faded from about +0.5 to around +1.6 in what became known as the Great Dimming; images from Hubble and the Very Large Telescope traced it to a cloud of dust the star had puffed out.

Did you know? Vega was long used as the zero point of the scale, so the handful of stars that outshine it, led by Sirius, Canopus and Arcturus, carry negative magnitudes.

Measurement has moved from the eye to photographic plates, where Henrietta Swan Leavitt at Harvard found in 1912 that certain pulsing stars reveal their true luminosity, and then to electronic detectors. Gaia measured the brightness of nearly two billion stars, and NASA's TESS watches for dips of a fraction of a per cent as planets pass in front of their suns. Combine a star's brightness with its distance and you know how much energy it pours out, the first step in measuring the universe. Hipparchus ranked the sky by eye; we have only made his ranking precise.

The magnitude ladder: from the Sun to the faintest galaxies Hipparchus ranked six steps by eye; telescopes have added twenty-four more. apparent magnitude · smaller number = brighter · heights to scale Sun −26.7 1 The rule 5 mag = ×100 1 mag = ×2.512 Full Moon −12.7 · 400,000× dimmer 2 Venus −4.9 at best 3 Sirius −1.46 · brightest star Polaris +2.0 · only ~48th Eye limit +6 · dark sky 4 Rubin +24.5 · one exposure 5 JWST +30 · 4 billion× fainter
Fig 8 · Starlight & Magnitude. The magnitude ladder: every five steps down is a hundred times fainter
Chapter 9 · Part I

Light-Years

A light-year is a distance, not a length of time, whatever science fiction suggests. Light in a vacuum travels at 299,792.458 kilometres per second, and in one year it covers about 9.46 trillion kilometres. Professional astronomers often prefer the parsec, about 3.26 light-years, which comes straight from the geometry used to measure star distances.

The idea depends on two discoveries. In 1676 the Danish astronomer Ole Rømer, working in Paris, noticed that eclipses of Jupiter's moon Io arrived later than predicted when Jupiter was farther from Earth. He concluded that light takes time to travel, the first proof that its speed is finite. The second step was measuring the stars. In 1838 Friedrich Bessel detected the parallax of the star 61 Cygni, the tiny shift in its position as Earth moves around the Sun, and worked out a distance of about 10 light-years; the modern value is 11.4. Since 1983 the metre itself has been defined by the speed of light, and the Gaia satellite has measured parallaxes for some 1.5 billion stars.

Because light takes time to arrive, every view of the sky is a view of the past. The Moon is 1.3 light-seconds away and the Sun 8 minutes 20 seconds, so if the Sun vanished we would not know for over eight minutes. Signals from Neptune take about four hours, and Voyager 1, the most distant spacecraft, is due to pass one light-day from Earth around the end of 2026. Proxima Centauri, the nearest star beyond the Sun, is 4.24 light-years away. We see Betelgeuse as it was around 550 years ago; if it has already exploded, the news is still on its way. The centre of the Milky Way lies about 26,000 light-years off.

The Andromeda Galaxy, faintly visible to the naked eye on a dark autumn night, is about 2.5 million light-years away. The light reaching your eye left it around the time the earliest members of our genus, Homo, were appearing in Africa. Telescopes stretch the gap much further: in 2025 JWST confirmed a galaxy called MoM-z14, seen as it was only about 280 million years after the Big Bang, its light having travelled for more than 13.5 billion years.

Did you know? The edge of the observable universe lies about 46 billion light-years away, far more than its 13.8-billion-year age suggests, because space has kept stretching while the light was in transit.

That stretching means that for the most distant objects, "how far away" has several answers, and astronomers specify which one they mean. For everyday sky-watching, though, the principle is simple. A telescope is a time machine, and the night sky is a gallery of the past, with every star a postcard sent long ago.

How old is the light? From the Moon to the first galaxies Every star you see is a postcard sent long ago: a gallery of the past. light-travel time · logarithmic scale 1 s 1 min 1 h 1 day 1 yr 1,000 yr 1 Myr 1 Gyr Units 1 light-year = 9.46 trillion km 1 parsec = 3.26 light-years c = 299,792 km/s How we know 1676 Rømer: Io's late eclipses 1838 Bessel: 61 Cygni parallax Gaia: ~1.5 billion parallaxes Solar System stars galaxies Moon 1.3 s Sun 8 min 20 s 1 Neptune ~4 h Voyager 1 ~1 light-day 2 Proxima Centauri 4.24 yr Betelgeuse ~550 yr 3 Galactic centre 26,000 yr Andromeda 2.5 million yr 4 MoM-z14 13.5 bn yr 5
Fig 9 · Light-Years. Light-travel time on a log scale, from the Moon's 1.3 seconds to the first galaxies
Chapter 10 · Part I

Observing Without a Telescope

The best instrument for the night sky is the one you already own, provided you give it time. Step outside from a lit room and your pupils widen within seconds, from about 2 millimetres to as much as 7 in young eyes. The real change is slower and chemical. The rod cells of the retina rebuild their light-sensitive pigment, rhodopsin, over 20 to 30 minutes, until the eye is around a million times more sensitive than in daylight. A single glance at a bright phone screen undoes most of the work, which is why observers carry a dim red torch: rods barely respond to deep red light.

The eye has a further quirk. Its centre, the fovea, is packed with colour-sensing cones and has no rods at all, so faint objects can vanish when you look straight at them. Rods are densest about 20° away from the centre, and the trick of averted vision, looking slightly to one side, can make a faint smudge spring into view. That is how most people first see the Andromeda Galaxy, M31, at magnitude 3.4. The same patience shows the Orion Nebula, M42, as a glow in Orion's sword and resolves the Pleiades, M45, into six or seven stars.

From a truly dark site a few thousand stars are visible at once, out of about 9,000 bright enough for the naked eye across the whole sky. Five planets have been known since antiquity, Mercury, Venus, Mars, Jupiter and Saturn, wandering against the fixed patterns. Meteor showers need no equipment at all: the Perseids peak around 12 August and the Geminids around 14 December, each producing upwards of 100 meteors an hour under ideal skies. The International Space Station crosses the sky in a few minutes, often rivalling Venus in brightness, and thousands of other satellites now drift across the evening sky.

The great enemy is artificial light. In 2016 the World Atlas of Artificial Night Sky Brightness, compiled by Fabio Falchi and colleagues, found that the Milky Way is hidden from more than a third of humanity. A citizen-science study led by Christopher Kyba, using observations from the Globe at Night project, found that skies grew about 10 per cent brighter every year between 2011 and 2022. Observers grade their skies on the nine-step Bortle scale, published by John Bortle in 2001, from class 1, where the Milky Way casts shadows, to class 9, an inner city showing only a few dozen stars. Protected places are fighting back: Galloway Forest Park became Britain's first Dark Sky Park in 2009, and Sark the world's first Dark Sky Island in 2011.

Did you know? The same 2016 atlas found that almost 80 per cent of North Americans and about 60 per cent of Europeans can no longer see the Milky Way from home.

Naked-eye astronomy needs no money, no kit and no qualifications, only a dark place, twenty minutes and a chart. It is how every astronomer in history began. The sky rewards anyone who simply keeps looking.

The dark-adapted eye: a free telescope Twenty minutes of darkness make your eyes a million times keener. the human eye, horizontal section · not to scale optic nerve Cornea Pupil 2 → 7 mm in seconds lens 1 Rods rhodopsin: 20-30 min keep a red torch 2 faint star Averted vision look ~20° aside fovea: cones only 3 Naked-eye targets M31 Andromeda · mag 3.4 M42 Orion Nebula M45 Pleiades · 6-7 stars 5 planets · ISS · satellites Perseids ~12 Aug, ~100/h Geminids ~14 Dec 4 Bortle scale: 9 sky classes 1 2 3 4 5 6 7 8 9 1: Milky Way casts shadows 4: rural-suburban edge 9: city, a few dozen stars Falchi 2016: 1/3 of humanity 5
Fig 10 · Observing Without a Telescope. The dark-adapted eye and the Bortle scale: what a sky lets you see
Part II

A History of Looking Up

From Stonehenge to the expanding universe.

Chapter 11 · Part II

The First Astronomers

Long before anyone ground a lens, people were measuring the sky with stones, shadows and patience. The first astronomers were farmers, priests and scribes who needed to know when to plant, when the river would flood and when the gods might darken the Sun. Their instruments were the horizon and a long memory, and the result was humanity's first exact science.

At Stonehenge, raised in stages from around 2500 BC, the main axis points to midsummer sunrise in one direction and midwinter sunset in the other. Popular belief credits the Druids, who arrived some two thousand years too late. In Egypt the Great Pyramid of Khufu, built around 2560 BC, is squared to the cardinal points within about four arcminutes, a fifteenth of a degree, probably by sighting stars that circle the pole, and the 365-day civil calendar was tied to the dawn rising of Sirius that heralded the Nile flood. In Germany the Nebra sky disc, buried around 1600 BC, sets the Sun, the Moon and what look like the Pleiades in gold on bronze.

Babylon is where astronomy became arithmetic. From 652 BC scribes kept the Astronomical Diaries, nightly records of the Moon, planets and weather maintained for some six centuries. From such records came the Saros, a cycle of 223 lunar months, about 18 years 11 days and 8 hours, after which eclipses repeat in similar form. Greek astronomers inherited this arithmetic, and the Antikythera mechanism, a shoebox-sized bronze calculator recovered from a shipwreck in 1901 and usually dated to the 2nd or 1st century BC, turned it into gears, with a Saros dial, a 19-year calendar and a pointer for the Moon's phase.

Chinese court astronomers logged the sky as a matter of state. Shang dynasty oracle bones from around 1200 BC record eclipses, and in AD 1054 Song astronomers noted a "guest star" bright enough to see in daylight for 23 days. Its wreckage is the Crab Nebula, M1, still expanding at about 1,500 kilometres per second. Across the Atlantic, Maya astronomers tracked Venus. The Dresden Codex uses a Venus cycle of 584 days against a true average of 583.92, with corrections that kept its tables in step for centuries, and the round El Caracol tower at Chichén Itzá has windows that appear to line up with the planet's extreme setting points.

Did you know? The Antikythera mechanism had at least 30 interlocking bronze gears, and nothing of comparable mechanical complexity is known from anywhere for well over a thousand years afterwards.

We know all this from the stones themselves, surveyed with theodolites and now laser scanners; from thousands of astronomical clay tablets, many held in the British Museum; and from X-ray scans of the Antikythera fragments made in 2005. Every calendar on your phone still runs on a year and a month that skywatchers first measured by eye. The sky was our first clock, and we have never stopped reading it.

The first astronomers: the sky as clock and calendar schematic map · equirectangular, 120°W to 150°E 40°N 20°N equator 2500 BC Stonehenge 1600 BC Nebra disc 1200 BC Shang bones 652 BC Diaries 100 BC Antikythera AD 1054 Crab Long before lenses, the sky was humanity's first exact clock. Chichén Itzá Maya, c. AD 900 Venus: 584 days Dresden Codex El Caracol 1 Stonehenge c. 2500 BC solstice axis June sunrise Dec sunset 2 Giza c. 2560 BC N–S to 4 arcmin Antikythera: gears, 100 BC 3 Babylon diaries, 652 BC Saros cycle: 223 months 18 y 11 d 8 h 4 China c. 1200 BC oracle bones 1054 guest star today's M1 5
Fig 11 · The First Astronomers. Five ancient skywatching cultures and what each of them measured
Chapter 12 · Part II

Ptolemy's Universe

For some fourteen centuries the best map of the heavens put us at its centre. Claudius Ptolemy, working in Roman Alexandria around AD 150, gathered centuries of Greek and Babylonian observation into a single treatise, the Mathematical Syntaxis. Its Arabic title, al-majisti, "the greatest", became the Latin Almagest, which tells you how it was regarded.

Earth sat motionless in the middle. Around it, in order, moved the Moon, Mercury, Venus, the Sun, Mars, Jupiter and Saturn, with the fixed stars beyond. The trouble was that planets misbehave. Every 26 months or so Mars slows, stops and drifts backwards against the stars for about ten weeks before resuming. Ptolemy's answer was geometry. Each planet rode a small circle, the epicycle, whose centre travelled around a larger one, the deferent. Earth sat a little off the deferent's centre, and the epicycle moved at an even rate not around Earth but around a third point, the equant. Circles on circles produced loops and changing speeds, and the resulting tables matched the sky to within a degree or so for centuries.

The Almagest also held a catalogue of 1,022 stars in 48 constellations, with brightnesses on a six-step scale that survives, refined, as the modern magnitude system. Ptolemy drew on Hipparchus, three centuries earlier, and historians still debate how much of the catalogue he took over. In his Planetary Hypotheses he nested the spheres snugly and put the outer edge of the cosmos at about 20,000 Earth radii, some 130 million kilometres: vast by ancient standards, yet less than Earth's real distance from the Sun.

The book survived because others valued it. Translated into Arabic in 9th-century Baghdad, it was checked and improved by astronomers such as al-Battani, who refined the length of the year, and later by Nasir al-Din al-Tusi at Maragha and Ibn al-Shatir in Damascus, whose devices for removing the equant reappear, strikingly similar, in Copernicus. Gerard of Cremona's Latin translation from the Arabic, made in Toledo around 1175, carried it back into European universities.

Two myths deserve retiring. Medieval scholars did not think Earth was flat; Ptolemy gives arguments for a round Earth and educated Europeans accepted them. Nor did astronomers pile epicycles on epicycles to patch the model before Copernicus; most working tables used one epicycle per planet.

Did you know? Ptolemy's model predicted planetary positions so well that, when Copernicus's Sun-centred version appeared in 1543, its tables were not clearly more accurate.

Ptolemy was wrong at the centre and right about method: describe the sky with mathematics, test it against observation, publish tables others can check. When Mars backs up against the stars, as it does about every two years, we are watching the very puzzle he solved. A useful wrong answer can last fourteen hundred years.

Ptolemy's universe: Earth at the centre of nested spheres after the Almagest, c. AD 150 · spacing not to scale Wrong at the centre, yet it predicted the sky for 1,400 years. Earth, at rest centre of all 1 Moon Mercury Venus Sun Mars Jupiter Saturn 1 7 2 Mars: circles on circles epicycle deferent seen from Earth: loops 3 equant: even angular speed E = Earth 4 The Almagest 13 books · Alexandria 1,022 stars, 48 figures outer sphere: fixed stars al-majisti: 'the greatest' 5
Fig 12 · Ptolemy's Universe. Ptolemy's nested spheres, with Mars on its deferent, epicycle and equant
Chapter 13 · Part II

The Copernican Turn

In May 1543 a book printed in Nuremberg reached a dying canon in Frombork, on the Baltic coast of Poland. De revolutionibus orbium coelestium, "On the Revolutions of the Heavenly Spheres", by Nicolaus Copernicus, moved the Sun to the centre and set Earth spinning daily and circling yearly like any other planet. Tradition, based on a letter from his friend Tiedemann Giese, says he saw the first printed copy on the day he died.

The idea was not new. Aristarchus of Samos had proposed a Sun-centred system around 270 BC, known to us mainly from a remark by Archimedes, and Copernicus had circulated a short sketch, the Commentariolus, around 1514. What he finally published was a complete mathematical system, coaxed into print by a young mathematician from Wittenberg, Georg Joachim Rheticus. In it, retrograde motion stopped being a property of the planets and became an effect of perspective: Earth, on its faster inside track, overtakes Mars every 26 months or so, and Mars seems to drift backwards, as a slower car appears to slide back when you pass it on a motorway.

The new arrangement also gave the planets a scale. Because Mercury and Venus never stray more than about 28 and 47 degrees from the Sun, they must orbit inside Earth, and from such angles Copernicus worked out every planet's distance in units of Earth's. His values, Venus at 0.72, Mars at 1.52 and Jupiter at 5.22, are close to modern ones. For the first time the Solar System had proportions rather than merely an order.

Accuracy was another matter. Copernicus kept perfect circles and still needed small epicycles, so his tables were no better than Ptolemy's. There was also a serious objection. If Earth moves, nearby stars should shift to and fro over a year, and no one could see it. Copernicus's answer, that the stars are immensely far away, was right. James Bradley's discovery of the aberration of starlight in 1729 gave direct proof that Earth moves, and in 1838 Friedrich Bessel measured the first stellar parallax: 61 Cygni shifts by about a third of an arcsecond, the width of a coin seen from more than ten kilometres away.

Did you know? Copernicus's remains, buried unmarked in Frombork Cathedral, were identified in 2008 by matching DNA from a skull with hairs found in a book he had owned.

An unsigned preface by the theologian Andreas Osiander presented the book as a calculating device rather than a claim about reality, and it circulated quietly for decades; the Catholic Church placed it on the Index only in 1616, "until corrected". The idea it launched, that we occupy no special place, has since been applied again and again: the Sun is an ordinary star, the Milky Way one galaxy among hundreds of billions. Each time Mars backs up against the stars, you are watching Earth overtake it. Losing the centre gave us the universe.

The Copernican turn: same sky, new centre orbits schematic · distances in AU (Earth-Sun = 1) Demoting Earth cost no accuracy and gained a scale for the whole system. Ptolemy, c. AD 150 centre: Earth, still Moon, Mercury, Venus, Sun, Mars, Jupiter, Saturn, then stars loops: epicycles 1 Copernicus, 1543 centre: the Sun Earth: third planet spins once a day Moon orbits Earth loops: overtaking 2 Retrograde, explained 1 4 7 on the stars Mars Earth 3 Distance from the Sun Copernicus today Mercury 0.38 0.39 Venus 0.72 0.72 Mars 1.52 1.52 Jupiter 5.22 5.20 Saturn 9.17 9.54 4 Stars show no yearly shift: too far · Bessel, 1838: 61 Cygni, 0.31 arcsec 5
Fig 13 · The Copernican Turn. Earth-centred and Sun-centred orders, retrograde loops and Copernicus's distances
Chapter 14 · Part II

Galileo's Telescope

The telescope was not Galileo's invention. In October 1608 the spectacle-maker Hans Lipperhey of Middelburg asked the Dutch States General for a patent on a tube that made distant things look near; rivals made the same claim, and the patent was refused. Galileo Galilei, professor of mathematics at Padua, heard the news in 1609, worked out the optics for himself and began grinding lenses: first about three times magnification, then eight or nine, and by the end of the year about twenty.

His first customer was the Venetian state. In August 1609 he showed an instrument of eight or nine times to senators from the bell tower of San Marco, where they could spot ships hours before they reached port, and his salary was doubled. Then he pointed the tube upwards. The design was simple. A convex objective lens gathered light towards a focus about a metre away, and a concave eyepiece intercepted it to give an upright, magnified image. The field of view was tiny, about a quarter of a degree, half the width of the full Moon, and the glass was full of bubbles.

In Sidereus Nuncius, "The Starry Messenger", published in Venice in March 1610, he reported a Moon with mountains, craters and plains, whose heights he estimated from their shadows; thousands of stars invisible to the eye; a Milky Way resolved into countless faint stars; and, from 7 January 1610, four "stars" beside Jupiter that changed places night after night. They were moons, now called Io, Europa, Ganymede and Callisto, names proposed by Simon Marius. Here was a centre of motion that was not Earth.

Late in 1610 came the blow to Ptolemy. Venus shows a full set of phases: small and almost full when far beyond the Sun, large and crescent when close. In Ptolemy's scheme Venus could never appear full, so it must circle the Sun, although the phases also fit Tycho Brahe's compromise, in which the Sun itself circles Earth. Galileo also tracked sunspots, as did Thomas Harriot, Christoph Scheiner and Johannes Fabricius at about the same time.

Did you know? The Englishman Thomas Harriot sketched the Moon through a telescope on 26 July 1609, months before Galileo, but never published his drawings.

The trouble came later. Galileo's Dialogue Concerning the Two Chief World Systems of 1632 led to his trial in 1633 and house arrest at Arcetri until his death in 1642; the muttered "and yet it moves" is almost certainly legend. In 1992 Pope John Paul II formally acknowledged the Church's error. Two of his telescopes survive in the Museo Galileo in Florence, and NASA named its Jupiter orbiter after him. Today a pair of steady binoculars shows the same four moons from a back garden. What changed in 1610 was not the sky but the evidence: from then on, the eyepiece was the court of appeal.

Galileo's telescope: two lenses that changed the sky Padua, 1609-10 · drawing not to scale tube c. 1 m, up to 20x Sidereus Nuncius, Venice, March 1610 Within a year the telescope made the old sky impossible to defend. Objective lens convex · gathers light 1 Eyepiece concave · upright view convex: converges concave: spreads eye 2 The Moon, 1609 mountains, craters, plains heights from their shadows 3 Jupiter, January 1610 moons shift each night 4 moons circle Jupiter 4 Venus, late 1610 every phase, size changing it circles the Sun 5
Fig 14 · Galileo's Telescope. Galileo's two-lens telescope and the three discoveries that broke the old sky
Chapter 15 · Part II

Kepler's Laws

Johannes Kepler had the theory; Tycho Brahe had the numbers. From his island observatory of Uraniborg on Hven, between Denmark and Sweden, Tycho spent two decades from 1576 measuring planetary positions with giant quadrants and sextants to within one or two arcminutes, the best ever achieved with the naked eye. In 1600 Kepler joined him in Prague. Within eighteen months Tycho was dead, and Kepler inherited the data, over the objections of Tycho's heirs.

He had been assigned Mars, the planet whose path strayed most from a circle. Kepler called the campaign his "war with Mars" and filled hundreds of pages with calculation. His best circular model still missed Tycho's observations by up to eight arcminutes, about a quarter of the Moon's width, and Tycho's data were better than that. Rather than fudge, Kepler threw out the circle. The result, published in Astronomia nova in 1609, was two laws. Planets move on ellipses with the Sun at one focus. And a line from the Sun to a planet sweeps out equal areas in equal times, so a planet travels fastest at perihelion, its closest point, and slowest at aphelion.

The ellipses are subtle. Earth's eccentricity is just 0.017: we are about 147.1 million kilometres from the Sun in early January and 152.1 million in early July, so northern winter falls near our closest approach, a reminder that seasons come from tilt, not distance. Earth moves at about 30.3 kilometres per second at perihelion and 29.3 at aphelion, which is why northern winter is a few days shorter than northern summer. Mars, with an eccentricity of 0.093, was lopsided enough to betray the circle.

In Harmonices Mundi, 1619, Kepler found a third law tying the planets together: the square of a planet's period in years equals the cube of its average distance in astronomical units. Jupiter, 5.20 units out, takes 11.86 years, and both 5.20 cubed and 11.86 squared come to about 141. Kepler could not say why, but the regularity cried out for a physical cause, which Newton would supply. His Rudolphine Tables of 1627 were far better than anything before and predicted a transit of Mercury across the Sun in 1631, which Pierre Gassendi duly observed in Paris.

Did you know? Kepler's laws govern every one of the roughly 6,000 exoplanets now confirmed, and NASA's Kepler space telescope, launched in 2009, found more than 2,600 of them.

Kepler's life was hard. He lost his wife and children to disease and spent years defending his mother against a charge of witchcraft. Yet every satellite in Earth orbit and every probe coasting between the planets follows his ellipses to a first approximation. Eight arcminutes, one stubborn mind and the true shape of the heavens.

Kepler's laws: the shape and rhythm of an orbit eccentricity exaggerated · Earth e = 0.017, Mars e = 0.093 1576-97 Tycho on Hven 1609 Astronomia nova 1619 Harmonices Mundi 1627 Rudolphine Tables Tycho's eight arcminutes broke the perfect circle, and physics began. Sun: one focus empty focus Law 1: orbits are ellipses 1 perihelion, early Jan 147.1 million km aphelion, early Jul 152.1 million km 2 equal areas, equal times fast slow 3 Law 3: P² = a³ P years, a in AU planet a³ P² Earth 1.00 1.00 Mars 3.51 3.54 Jupiter 141 141 Saturn 868 868 4 Tycho's data naked-eye, ~1-2 arcmin 20 years of Mars circle missed by 8' 5
Fig 15 · Kepler's Laws. Kepler's three laws on one exaggerated orbit, with Tycho's data behind them
Chapter 16 · Part II

Newton's Gravity

Kepler described how the planets move; Isaac Newton explained why. In Philosophiae Naturalis Principia Mathematica, published in London in 1687 at the expense of his friend Edmond Halley, Newton set out three laws of motion and a law of universal gravitation: every mass attracts every other with a force proportional to the product of their masses and falling off with the square of the distance between them.

The apple is real enough as a story, told by Newton himself in old age to William Stukeley, but it did not hit him on the head, and the idea grew over two decades rather than in one afternoon at Woolsthorpe during the plague years of 1665 and 1666. The key step was the Moon test. The Moon is about 60 Earth radii away, so if gravity weakens with the square of distance it should feel one 3,600th of the pull an apple feels. An apple drops 4.9 metres in its first second; the Moon, curving around Earth, falls towards us by about 1.4 millimetres each second. The numbers match.

From that single law Newton derived all three of Kepler's laws, explained the tides as the uneven pull of the Moon and the Sun, and predicted that a spinning Earth should bulge at the equator, as French expeditions to Lapland and Peru later confirmed; the equatorial radius is about 21 kilometres greater than the polar. His thought experiment of a cannon on a mountaintop showed why the Moon never lands: fire fast enough, about 7.9 kilometres per second near the surface, and the ground curves away as fast as the ball drops.

The law then made predictions. Halley used it to argue that the comets of 1531, 1607 and 1682 were one object, and forecast its return; it was recovered on Christmas night 1758, after his death. Henry Cavendish measured the gravitational constant with a torsion balance in 1798, in effect weighing the Earth. In 1846 Urbain Le Verrier, analysing the wanderings of Uranus, told Johann Galle in Berlin where to look, and on 23 September Galle found Neptune within about a degree of the predicted spot. Newton also built, in 1668, the first working reflecting telescope, about 15 centimetres long with a metal mirror some 33 millimetres across, free of the colour fringes that plague lenses.

Did you know? Newton's law has one famous failure: Mercury's orbit swings round by 43 arcseconds per century more than it allows, a puzzle solved only by Einstein's general relativity in 1915.

Newtonian gravity still navigates nearly every spacecraft, from the Apollo flights to gravity-assist swings past Jupiter; relativity matters mainly for precision work such as GPS timing. When you watch the Moon rise, you are watching something fall around us at about a kilometre per second. The apple and the Moon obey the same law.

Newton's gravity: one law for apples, moons and comets Principia, 1687 · Halley paid for the printing Universal gravitation F = G·m1·m2 / r² · Principia 1687 Newton's cannonball fast enough, and the fall never lands = an orbit Reflector, 1668 mirror c. 33 mm no colour fringe curved mirror replaces the lens The pull that drops an apple also steers the Moon. On Earth apple: 4.9 m in 1 s tides: Moon and Sun Earth bulges ~21 km 1 The Moon test Moon: 60 Earth radii pull 1/60² = 1/3,600 falls 1.4 mm per s 2 Kepler explained ellipses from 1/r² equal areas follow masses from orbits 3 Predictions Halley's comet, 1758 Cavendish G, 1798 Neptune found, 1846 4 Where it bends Mercury's orbit turns 43 arcsec per century too much: Einstein, 1915 5
Fig 16 · Newton's Gravity. Newton's law of gravity and the branches of evidence it explained
Chapter 17 · Part II

Herschel's Deep Sky

In 1781 a music teacher in Bath doubled the size of the known Solar System. William Herschel, an oboist and organist from Hanover who had settled in England as a young man, ground his own telescope mirrors at his house on New King Street, helped by his sister Caroline. On 13 March 1781, sweeping the sky with a reflector whose mirror was 6.2 inches across, he noticed a "star" that showed a small disc. He first reported a comet, but within months its slow, nearly circular orbit showed it to be a planet, the first found since antiquity, about 19 times farther from the Sun than Earth.

Herschel proposed calling it Georgium Sidus, George's Star, after King George III, who rewarded him with a royal stipend that let him give up music. Astronomers abroad preferred a mythological name, and Johann Bode's suggestion, Uranus, father of Saturn, became universal by the mid-1800s. Herschel went on to find its moons Titania and Oberon in 1787, and Saturn's moons Enceladus and Mimas in 1789 with his new 40-foot telescope at Slough, whose mirror was about 1.2 metres across.

His real target was the deep sky. With Caroline at a desk recording the positions he called out from the eyepiece, Herschel swept the heavens strip by strip and published three catalogues, in 1786, 1789 and 1802, listing about 2,500 nebulae and star clusters, where Charles Messier's famous list had about a hundred. By counting stars in sample fields, his "star gauges", he drew the first map of the Milky Way's shape, a flattened disc, though with the Sun wrongly near its middle. He showed that some double stars orbit one another, proof that gravity works beyond the Solar System, and in 1800, testing filters for viewing the Sun, he placed thermometers beyond the red end of a prism's spectrum and found invisible heat: infrared light.

Caroline was an astronomer in her own right. She discovered eight comets between 1786 and 1797 and several nebulae, among them the Sculptor Galaxy, NGC 253, and in 1828 the Royal Astronomical Society awarded her its Gold Medal. William's son John Herschel took the family telescopes to the Cape of Good Hope from 1834 to 1838 to survey the southern sky, and his General Catalogue of 1864 listed 5,079 objects. Expanded by J. L. E. Dreyer, it became the New General Catalogue of 1888, the NGC whose numbers astronomers still use.

Did you know? In 1787 George III granted Caroline Herschel a salary as her brother's assistant, making her, as far as we know, the first woman ever paid to do science.

ESA's Herschel Space Observatory, which flew from 2009 to 2013 with a 3.5-metre mirror, carried William's infrared discovery into orbit. Look at the Orion Nebula or the Andromeda Galaxy in a star atlas and you will find a Herschel catalogue number beside it. Three Herschels turned the sky from a dome of lights into a place with depth.

Herschel's deep sky: a family firm of sky sweepers Bath, then Slough · 1772-1838 The Herschel workshop orchestrator · night-long sweeps Legacy: Dreyer's NGC, 1888: 7,840 objects · ESA Herschel, 2009-13, 3.5 m Three Herschels turned the sky from a dome of lights into a deep place. William the observer Uranus 13 Mar 1781 first new planet Infrared found in 1800 heat past red 1 Caroline comet hunter 8 comets 1786-1797 salaried, 1787 NGC 253 Sculptor, 1783 2 John the cataloguer Cape survey 1834-1838 southern sky GC, 1864 5,079 objects basis of NGC 3 Telescopes home-made Uranus scope 6.2-inch mirror 40-foot 1.2 m mirror 1789: Enceladus 4 Method sweep and count Star gauges Milky Way shape 2,500 nebulae 3 catalogues 1786-1802 5
Fig 17 · Herschel's Deep Sky. The Herschel family workshop: who found what, and with which telescope
Chapter 18 · Part II

The Great Debate

On the evening of 26 April 1920, at the Smithsonian's natural history museum in Washington, two astronomers addressed the National Academy of Sciences on "The Scale of the Universe". Harlow Shapley of Mount Wilson Observatory argued that the Milky Way was enormous and contained everything, the spiral nebulae included. Heber Curtis of Lick Observatory argued that our galaxy was modest and that the spirals were separate "island universes", galaxies in their own right.

Despite its name, the Great Debate was no formal duel: each man gave a talk, and the sharper exchange came in papers published the following year. Shapley's evidence came from globular clusters, which he had found bunched towards Sagittarius. If they outline the Galaxy, its centre lies far from the Sun and the whole system spans perhaps 300,000 light-years. He also leaned on Adriaan van Maanen's measurements, later shown to be wrong, which seemed to show spirals visibly rotating; if they were remote galaxies, their edges would have to move faster than light.

Curtis pointed to Vesto Slipher's spectra, which showed spirals receding at hundreds of kilometres per second, faster than anything known in our galaxy; to dark dust lanes across edge-on spirals; and to novae in the Andromeda nebula far fainter than those nearby, implying great distance. But he placed the Sun near the centre of a galaxy only about 30,000 light-years wide.

The ruler that settled the matter had been made a decade earlier by Henrietta Swan Leavitt, one of the women "computers" measuring photographic plates at Harvard College Observatory. Studying variable stars in the Small Magellanic Cloud, all at roughly the same distance, she showed in 1912 that the longer a Cepheid takes to pulse, the brighter it truly is. Calibrate a few nearby Cepheids and every Cepheid becomes a standard candle. On 6 October 1923, with the 100-inch Hooker telescope, Edwin Hubble found a Cepheid in the Andromeda nebula, M31, on a plate he marked "VAR!". It put Andromeda at about 900,000 light-years, far beyond any possible edge of the Milky Way, and the result was read to the American Astronomical Society on 1 January 1925.

Did you know? In 1925 the Swedish mathematician Gösta Mittag-Leffler wrote to Henrietta Leavitt about nominating her for a Nobel Prize, unaware that she had died of cancer in 1921.

Both men were half right. Shapley correctly put the Sun far from the centre, about 26,000 light-years out, and correctly made the Galaxy big, though too big: its bright disc is about 100,000 light-years across. Curtis was right that the spirals are galaxies. Andromeda is in fact about 2.5 million light-years away; Hubble's figure was low because, as Walter Baade showed in 1952, there are two kinds of Cepheid. On a dark autumn night Andromeda is a faint smudge to the naked eye. One flickering star turned that nebula into a galaxy.

The Great Debate: how big is the universe? Washington DC, 26 April 1920 · sketches not to scale Both men were half right; a variable star settled the rest. Harlow Shapley Mount Wilson Sun centre Galaxy ~300,000 ly Sun far off-centre spirals: inside it clues: globulars 1 Heber Curtis Lick Observatory Sun Galaxy ~30,000 ly Sun near centre spirals: galaxies clues: spiral speeds 2 Leavitt's ruler, 1912 25 Cepheids, Small Magellanic Cloud longer period = brighter star period brightness 3 Hubble, 6 Oct 1923 Cepheid in M31 Hooker 100-inch then ~900,000 ly now 2.5 million ly VAR! 4 Verdict Shapley: Galaxy big (~100,000 ly), Sun 26,000 ly out Curtis: spirals are galaxies, far beyond ours 5
Fig 18 · The Great Debate. Shapley versus Curtis, and the Cepheid ruler that decided between them
Chapter 19 · Part II

Hubble's Expanding Sky

Once the spirals were known to be galaxies, the next question was what they were doing, and the first answers had already arrived. From 1912, at Lowell Observatory in Arizona, Vesto Slipher took long-exposure spectra of spiral nebulae. Andromeda was approaching at about 300 kilometres per second, but nearly all the others showed redshift, their spectral lines stretched to longer wavelengths, meaning they were moving away, some at more than 1,000 kilometres per second.

In 1929 Edwin Hubble, working with the 100-inch Hooker telescope on Mount Wilson, then the largest in the world, combined velocities, mostly Slipher's, with his own distance estimates for 24 galaxies. The points were scattered, but the trend was plain: the farther a galaxy, the faster it recedes. His colleague Milton Humason, a former mule driver and janitor who became a superb observer, pushed the measurements outward, and by 1931 their joint paper reached galaxies receding at about 20,000 kilometres per second. The straight line held.

The relation is written v = H₀ × d. Hubble's slope was about 500 kilometres per second per megaparsec, a megaparsec being 3.26 million light-years. That was far too high, because his distances were too small by a factor of about seven, and taken at face value it implied a universe only some 2 billion years old, younger than Earth's rocks. Modern measurements give between about 67 and 73, a disagreement now called the Hubble tension. At 70, a galaxy 100 megaparsecs away recedes at about 7,000 kilometres per second, and running the expansion backwards gives an age of roughly 14 billion years.

Hubble himself was cautious, preferring to speak of "apparent velocities". The theory came from others. Alexander Friedmann had shown in 1922 that Einstein's equations allowed an expanding universe, and in 1927 the Belgian priest and physicist Georges Lemaître derived the velocity–distance relation and estimated its slope, in a paper in a little-read Belgian journal. In 2018 the International Astronomical Union recommended calling it the Hubble–Lemaître law. Einstein, who had added a cosmological constant in 1917 to keep his universe static, visited Mount Wilson in 1931 and accepted the expansion.

The expansion is not galaxies flying away from a central explosion. Space itself stretches, so observers in every galaxy see the same pattern and none sits at a centre, while gravity holds smaller systems together: the Milky Way, the Solar System and you are not expanding.

Did you know? Andromeda is one of the few galaxies with a blueshift: it is closing on the Milky Way at about 110 kilometres per second, and the two may merge billions of years from now.

Every redshift logged by today's surveys, from the Sloan Digital Sky Survey to Euclid, builds on that scattered plot of 1929. Light from a distant galaxy arrives stretched by the very space it crossed. Look at any faint galaxy and you are watching the universe grow.

Hubble's expanding sky: the farther, the faster after Hubble 1929 · 24 galaxies, positions approximate 0 1 2 0 500 1,000 distance, million parsecs km/s, receding Galaxies are not flying through space; space itself is stretching. 1912 Slipher 1917 Einstein spiral spectra mostly redshifted 1 M31 Virgo 1929 Hubble 1931 + Humason 2 ~500 km/s per Mpc today ~70 3 v = H0 x d H0: the Hubble constant 100 Mpc away: ~7,000 km/s Hubble's 500 gave age ~2 billion yr today's ~70 gives ~14 billion yr his distances were ~7 times too small 4 1927 Lemaître 2018 IAU: Hubble- Lemaître law 5
Fig 19 · Hubble's Expanding Sky. Hubble's 1929 velocity–distance plot and the people behind the expanding universe
Chapter 20 · Part II

Astronomy Goes Multiband

For most of history astronomy used one band of light, the one our eyes evolved for: wavelengths from about 380 to 750 nanometres, less than one octave of an electromagnetic spectrum that runs from radio waves kilometres long to gamma rays smaller than an atomic nucleus. Earth's atmosphere opens just two wide windows, for visible light and radio, plus slivers of infrared. Everything else must be caught from mountaintops, balloons, rockets or orbit.

The first step beyond the rainbow came in 1800, when William Herschel found infrared heat past the red end of a spectrum, and Johann Ritter found ultraviolet beyond the violet a year later. Radio astronomy began by accident. In 1932 Karl Jansky, a Bell Labs engineer at Holmdel, New Jersey, chasing static that troubled transatlantic radio telephones, found a steady hiss at a wavelength of 14.6 metres that rose and set with the stars and peaked towards Sagittarius, the centre of the Milky Way. Grote Reber built a 9-metre dish in his Illinois back garden in 1937 and mapped the radio sky, and Bernard Lovell's 76-metre dish at Jodrell Bank, completed in 1957, famously tracked the rocket that launched Sputnik.

In 1964 and 1965, also at Holmdel, Arno Penzias and Robert Wilson found an unexplained microwave hiss at 7.35 centimetres, equivalent to about 3.5 kelvin and coming from every direction. They scrubbed out the pigeon droppings, "a white dielectric material" as they put it, and the hiss remained. It was the cosmic microwave background, the afterglow of the Big Bang, since measured at 2.725 kelvin by COBE and mapped in detail by Planck. Penzias and Wilson shared the 1978 Nobel Prize in Physics.

High-energy astronomy needed space. In 1962 a rocket experiment led by Riccardo Giacconi found the first X-ray star, Scorpius X-1, and NASA's Chandra X-ray Observatory, launched in 1999, sees gas at millions of degrees in galaxy clusters and around black holes. American Vela satellites, built to watch for nuclear tests, caught the first gamma-ray bursts in 1967, and the Fermi telescope has mapped the gamma-ray sky since 2008. In the infrared, IRAS in 1983 and Spitzer from 2003 to 2020 led to the James Webb Space Telescope, launched on 25 December 2021, whose 6.5-metre mirror works about 1.5 million kilometres from Earth.

Did you know? ALMA, an array of 66 radio antennas on Chile's Chajnantor plateau at about 5,000 metres, can work as a single telescope up to 16 kilometres across.

Each band shows different physics. Radio traces cold hydrogen and the jets of quasars; infrared pierces dust into stellar nurseries and catches the most distant galaxies, their light stretched by expansion; X-rays expose the hottest gas. The Crab Nebula, M1, shines in every band from radio to the most energetic gamma rays. Modern astronomy is multiband by default, and the view through your own eye, lovely as it is, is a single key on a very long keyboard.

Astronomy goes multiband: how high each kind of light needs us long waves at front, short at back · height = altitude needed radio microwave infrared visible ultraviolet X-ray gamma Every new band opened a sky no earlier generation could see. Visible window ground: Galileo to ELT 380-750 nm, under 1 octave 1 1 Infrared Herschel's thermometer, 1800 JWST, 2021: 6.5 m at L2 2 2 Radio Jansky, 1932: 14.6 m waves Lovell dish, 76 m, 1957 3 3 Microwave Penzias, Wilson 1965: 7.35 cm 3 K glow · Planck, 2009 4 4 X-ray and gamma Giacconi rocket, 1962 Chandra 1999 · Fermi 2008 5 5
Fig 20 · Astronomy Goes Multiband. Each band of light, and how high we must go to catch it
Part III

The Solar System

Eight planets, countless leftovers, one star.

Chapter 21 · Part III

The Sun's Family

The solar system is one star and everything its gravity holds. The Sun carries 99.86 per cent of the total mass; the eight planets, five recognised dwarf planets, more than 400 moons and millions of asteroids and comets share the remaining sliver. Even that sliver is lopsided. Jupiter alone is 318 times the mass of Earth, about two and a half times all the other planets put together, and together with Saturn it makes up over nine-tenths of the mass of all the planets.

The family sorts itself by distance. Four small rocky planets, Mercury, Venus, Earth and Mars, sit within about 1.5 astronomical units of the Sun, one AU being Earth's average distance of 149.6 million kilometres. Beyond the asteroid belt come the gas giants Jupiter and Saturn, then the ice giants Uranus and Neptune at 19 and 30 AU. Past Neptune lie the Kuiper Belt, home of Pluto, and far beyond it the Oort Cloud of comets, which may stretch to 100,000 AU. All eight planets orbit in the same direction and in nearly the same plane, tilted to one another by no more than Mercury's 7 degrees.

That flatness is a fossil. It records a spinning disc of gas and dust, the solar nebula, that collapsed 4.57 billion years ago, an idea first sketched by Immanuel Kant in 1755 and Pierre-Simon Laplace in 1796. The date comes from the oldest grains in meteorites such as Allende, which fell on Mexico in 1969, and the picture is no longer theory alone: in 2014 the ALMA telescope array in Chile photographed rings and gaps in the disc around the young star HL Tauri, a solar system caught in the act of forming.

Measuring the family took centuries. Copernicus put the Sun at the centre in 1543, and Kepler's laws gave the proportions of the orbits but not their size. In 1672 Giovanni Cassini and Jean Richer timed Mars from Paris and French Guiana at once and turned the angle into a distance. Radar echoes bounced off Venus in 1961 fixed the scale more precisely than ever before, and in 2012 the AU was defined as exactly 149,597,870,700 metres. The masses follow from orbits: how fast a moon circles its planet tells you how heavy the planet is.

Did you know? The popular claim that all eight planets fit between Earth and the Moon is only half true: side by side they span about 392,000 km, more than the average lunar distance, so they fit only when the Moon is near its farthest, around 405,000 km.

Our own position is ordinary in one way and lucky in another. Earth sits where sunlight keeps water liquid, inside a family whose giants have steered comets and asteroids for 4.5 billion years. Every planet we can see with the naked eye, five of them, is a sibling made from the same cloud.

The Sun's family: one star and everything it holds One star rules; the planets share a sliver of the mass and most of the angular momentum. The Sun 99.86% of the mass · 4.57 bn years Mass budget of the rest Jupiter 0.095% Saturn 0.029% all others ~0.01% Earth 0.0003% Rocky Mercury, Venus 0.39 · 0.72 AU no moons Earth, Mars 1.00 · 1.52 AU 3 moons 1 Gas giants Jupiter 5.2 AU 318 Earth masses Saturn 9.5 AU 95 Earth masses 2 Ice giants Uranus 19.2 AU 14.5 Earth masses Neptune 30.1 AU 17.1 Earth masses 3 Dwarf planets Ceres 2.8 AU · 940 km in asteroid belt Pluto, Eris 39.5 · 68 AU Haumea, Makemake 4 Small bodies Asteroids 1.4 million+ known mostly 2.1-3.3 AU Comets Kuiper belt, Oort to ~100,000 AU 5
Fig 21 · The Sun's Family. One star over five families of worlds, from rocky planets to the comets of the Oort Cloud
Chapter 22 · Part III

Mercury

Mercury is the smallest planet and the closest to the Sun, a grey, cratered ball 4,879 kilometres across, barely larger than our Moon. It races around its orbit in 88 days at an average of 47 kilometres a second, faster than any other planet, which is why the Romans named it after their fleet-footed messenger. The orbit is the most stretched of the eight: Mercury swings in to 46 million kilometres from the Sun and back out to 70 million, so the Sun in its sky grows and shrinks as the year turns.

Its rotation is stranger still. For decades astronomers assumed Mercury kept one face to the Sun, as the Moon does to Earth; Giovanni Schiaparelli drew maps on that basis in the 1880s. In 1965 Gordon Pettengill and Rolf Dyce bounced radar off the planet with the giant Arecibo dish in Puerto Rico and found it spins once every 58.6 days. That is exactly two-thirds of its year, a 3:2 spin-orbit resonance: three turns for every two laps. Combine the two motions and one solar day, from noon to noon, lasts 176 Earth days, two full Mercury years.

With almost no atmosphere to hold heat, the surface swings between extremes. At noon near the equator it reaches about 430°C, hot enough to melt lead; through the long night it falls to around minus 180°C. Yet Mercury is not the hottest planet; Venus, almost twice as far out, is hotter under its blanket of carbon dioxide. And at Mercury's poles, crater floors never see sunlight at all. Radar from Arecibo hinted at ice there in 1991, and NASA's MESSENGER orbiter confirmed it in 2012.

Did you know? Averaged over time, Mercury rather than Venus is the planet closest to Earth, and in fact the closest planet to every other planet, because it never strays far from the Sun.

Most of what we know comes from three spacecraft. Mariner 10 flew past three times in 1974 and 1975. MESSENGER orbited from 2011 until it ran out of fuel and crashed into the surface in 2015, revealing a huge iron core filling about 85 per cent of the planet's radius, a magnetic field, and cliffs hundreds of kilometres long that show Mercury has shrunk as its interior cooled. The European and Japanese BepiColombo mission, launched in 2018, is due to settle into orbit in late 2026. Mercury also helped prove Einstein right: its orbit swings round by an extra 43 arcseconds a century, a puzzle Urbain Le Verrier noted in 1859 and general relativity explained in 1915.

Mercury is hard to see because it hugs the Sun, visible only low in twilight, and many people never knowingly spot it. When you do, you are looking at the planet that tested our theory of gravity.

Mercury: a slow spin on a fast orbit Two birthdays pass between one Mercury sunrise and the next. orbit shape exaggerated slightly · not to scale Sun Perihelion 46 million km Aphelion 70 million km 1 3 spins for every 2 orbits spin (sidereal): 58.6 days orbit (year): 88.0 days radar, Arecibo, 1965 2 One solar day = 176 days noon to noon lasts two years the Sun can briefly back up in the sky near perihelion 3 Noon up to 430°C lead would melt Midnight down to -180°C no air to hold heat swing: ~600°C 4 Core: ~85% of the radius MESSENGER, 2011-2015 5 polar ice in shadowed craters
Fig 22 · Mercury. Mercury's eccentric orbit and 3:2 spin lock, which stretch one solar day to 176 Earth days
Chapter 23 · Part III

Venus

Venus is Earth's near twin in size, 12,104 kilometres across against our 12,742, with 82 per cent of Earth's mass and a similar rocky make-up. There the resemblance ends. Its surface sits at about 465°C, day and night, pole to equator, hotter than Mercury and hot enough to melt lead. The air pressing down on that surface is 92 times Earth's, the pressure a submarine would feel some 900 metres under the sea. Venus is the hottest planet in the solar system, and the reason is its air.

That atmosphere is 96.5 per cent carbon dioxide, a crushing ocean of gas that lets sunlight in and traps the heat that tries to radiate back out. This runaway greenhouse effect was proposed in the early 1960s, notably by a young Carl Sagan, before any spacecraft arrived. On Earth most carbon is locked in limestone and other rocks; on Venus, lacking oceans to dissolve it, it stayed in the sky. Above the hot lower air lies a deck of sulphuric acid clouds from about 48 to 70 kilometres up, reflecting about three-quarters of the sunlight that strikes it and making Venus the brightest object in our sky after the Sun and Moon.

The planet turns the wrong way, and slowly. One rotation takes 243 Earth days, longer than its 225-day year, and runs backwards compared with most planets, so the Sun rises in the west. The cloud tops ignore this lethargy, whipping around the planet in about four days in a pattern called superrotation.

Did you know? Venus's surface has been photographed only by Soviet landers; Venera 13 survived 127 minutes in 1982 and sent back the first colour pictures of its orange-lit, slab-strewn ground.

How we know comes from a long list of firsts. Galileo saw Venus show phases like the Moon in 1610, strong evidence that it circles the Sun. NASA's Mariner 2 made the first successful flyby of another planet in 1962 and measured the heat. The Soviet Venera programme dropped probes through the clouds: Venera 7 sent the first signal from another planet's surface in 1970 and Venera 9 the first pictures in 1975. NASA's Magellan orbiter mapped about 98 per cent of the surface by radar between 1990 and 1994, revealing volcanic plains, the great volcano Maat Mons and surprisingly few craters, a sign of a surface repaved within the last billion years. In 2020 a team reported phosphine in the clouds as a possible sign of life; follow-up work has largely failed to confirm it.

New missions are planned for the 2030s: NASA's VERITAS and DAVINCI and ESA's EnVision. Their question matters here. If Venus once had oceans, as some models suggest, it shows how a world like ours can go wrong. The bright evening star is a warning hung in the western sky.

Venus: a greenhouse stacked 70 km deep Same size as Earth, opposite fate: carbon dioxide left in the sky, not locked in rock. heights not to scale · Venus 12,104 km wide, Earth 12,742 km Surface: 465°C, 92 bar like 900 m under the sea basalt plains, Maat Mons 1 Lower air: 96.5% CO2 hot, dense, dim orange light 0-48 km: greenhouse blanket 2 Cloud deck: 48-70 km sulphuric acid droplets reflects ~75% of sunlight circles planet in ~4 days 3 Backwards and slow spin: 243 days, retrograde year: 225 days Sun rises in the west 4 Venera 13, 1982 127 min alive · colour photos 5
Fig 23 · Venus. Venus from rock to haze: a 465°C surface under 70 km of carbon dioxide and acid cloud
Chapter 24 · Part III

Earth & Moon

Earth is the only planet known to have liquid water on its surface, active plate tectonics and life, and it has a companion unusually large for its size. The Moon is 3,474 kilometres across, about 27 per cent of Earth's width, and orbits on average 384,400 kilometres away, a gap you could fill with 30 Earths in a row. Only Pluto and Charon are closer in size among major pairs, which is why some astronomers call Earth and Moon a double world.

The leading explanation for the Moon's birth is the giant impact hypothesis, proposed in the mid-1970s by William Hartmann and Donald Davis and, independently, by Alastair Cameron and William Ward. Around 4.5 billion years ago a Mars-sized body, now called Theia, struck the young Earth a glancing blow. Molten debris thrown into orbit gathered into the Moon. The evidence came home in Apollo sample bags: Moon rocks have almost the same oxygen isotope ratios as Earth rocks, they are poor in iron and water, and they show that the young Moon was covered by an ocean of magma. The details are still argued over, but no rival idea fits as well.

The Moon shapes life here. Its gravity raises two tidal bulges in the oceans, and as Earth spins beneath them friction acts as a brake. Our day is slowly lengthening and the Moon is drifting away, about 3.8 centimetres a year, roughly the speed fingernails grow. We know because laser pulses fired from observatories bounce off reflectors left by Apollo 11, 14 and 15 and two Soviet Lunokhod rovers, timing the round trip of about 2.5 seconds to within millimetres. The Moon also steadies Earth's 23.4-degree tilt, keeping our seasons fairly stable over millions of years.

Did you know? Growth rings in fossil shells and corals record ancient day lengths: about 400 million years ago a day lasted roughly 22 hours, and in the last age of the dinosaurs about 23 and a half.

Exploration has come in waves. The Soviet Luna 3 photographed the far side in 1959. In December 1968 Apollo 8's crew saw the first Earthrise, and between 1969 and 1972 twelve Apollo astronauts walked on the surface and returned 382 kilograms of rock and soil. China's Chang'e 4 made the first landing on the far side in 2019, and Chang'e 6 brought far-side samples home in 2024. NASA's Artemis II is the first crewed flight to the Moon since Apollo 17, a step toward landing again near the south pole, where shadowed craters hold water ice.

Without the Moon, Earth's tilt might wobble wildly and tides would be far weaker. The pale disc that lights our nights is part of the machinery that made this planet a stable home.

Earth and Moon: 4.5 billion years as a pair The Moon steadies our tilt, raises our tides and slowly lengthens our days. two scales: deep time (left), the space age (right) 4.5 bn yr ago 1959 2026 Earth 12,742 km Moon 3,474 km 384,400 km to scale about 30 Earths apart Giant impact Theia, Mars-sized 1 ~4.5 bn yr ago Devonian day ~22 hours ~400 m.y. ago Cretaceous day ~23.5 h 2 ~70 m.y. ago Apollo 8 Earthrise, 1968 Apollo 11-17 1969-1972 382 kg of rock 3 Moon drifts away 3.8 cm a year laser pulses to Apollo mirrors round trip ~2.5 seconds 4 Chang'e 4, 6 far side 2019, 2024 Artemis II crewed flyby first since 1972 5
Fig 24 · Earth & Moon. From the giant impact to Artemis: how the Moon was made, measured and revisited
Chapter 25 · Part III

Mars

Mars is a cold desert world half Earth's width, 6,779 kilometres across, with 38 per cent of our gravity and a day about 40 minutes longer than ours. Its red colour is literal rust: iron oxide dust coats almost everything, and storms can lift it into planet-wide haze. Its air is 95 per cent carbon dioxide but so thin, around 6 millibars, that surface pressure is only about 0.6 per cent of Earth's. Liquid water would boil and freeze at once in the open. Yet the planet is covered in the marks of water that once flowed.

The scenery is the grandest in the solar system. Olympus Mons, a shield volcano, rises about 22 kilometres above the surrounding plains, roughly two and a half times the height of Everest, and its base is about 600 kilometres across. Valles Marineris, a system of canyons, runs about 4,000 kilometres along the equator, nearly the width of the United States, and drops up to 7 kilometres deep; the Grand Canyon would be a side gully. Both were revealed by NASA's Mariner 9, the first spacecraft to orbit another planet, in 1971.

Mars has long attracted wishful seeing. In 1877 Giovanni Schiaparelli mapped dark lines he called canali, channels, and Percival Lowell turned them into canals built by Martians. Mariner 4's grainy flyby pictures in 1965 showed a cratered, Moon-like world instead. The same year that Schiaparelli drew his lines, Asaph Hall found the two small moons, Phobos and Deimos, at the US Naval Observatory.

Did you know? Mars has seasons and polar caps much like Earth's because its axis is tilted by 25 degrees, close to our 23.4, though each season lasts nearly twice as long in a 687-day year.

Robots have since read the rocks closely. Vikings 1 and 2 landed in 1976. Curiosity, in Gale crater since 2012, found that an ancient lake once offered water and chemistry that microbes could have used. Perseverance landed in Jezero crater in 2021, beside the remains of a river delta, and is sealing rock cores in tubes for a possible future return to Earth; its little helicopter Ingenuity made 72 flights. In 2024 it drilled a rock nicknamed Cheyava Falls whose leopard-spot patterns could be a sign of ancient microbes or could be chemistry alone. Orbiters show layered sediments, ancient shorelines and buried ice, and many scientists think Mars had rivers and lakes, perhaps seas, more than three billion years ago before it lost its magnetic field and most of its air to the solar wind.

Mars is the world we are most likely to visit next, and the best place to test whether life ever began twice in one solar system. When it shines orange-red in the night sky, you are looking at a planet that had its chance at being wet and lost it.

Mars: the solar system's biggest scenery Half Earth's width, yet home to the tallest volcano we know. heights to scale (vertical only) · widths compressed 10 km 20 km Olympus Mons 21.9 km high · 600 km wide 1 Everest 8.85 km Mauna Kea 10.2 km from seabed 2 Valles Marineris: 4,000 km long Grand Canyon: 446 km up to 7 km deep, Grand Canyon 1.8 km 3 Thin air Earth: 1,013 mbar Mars: ~6 mbar, 0.6% 95% CO2 · 38% gravity 4 A wet past Jezero crater: old lake river delta, clays Perseverance, 2021- rock cores await return red = rusty iron dust 5
Fig 25 · Mars. Olympus Mons beside Everest, Valles Marineris beside the Grand Canyon, and thin air
Chapter 26 · Part III

The Asteroid Belt

Between Mars and Jupiter, mostly from 2.1 to 3.3 astronomical units from the Sun, circles the main asteroid belt: more than a million catalogued rocky and metallic bodies and countless smaller ones. They are leftovers from the age of planet-building, pieces that never gathered into a world because Jupiter's gravity kept stirring them, raising their speeds so that collisions shattered rather than merged. The old idea that the belt is the wreck of an exploded planet, proposed by Heinrich Olbers in 1802, has long been abandoned. There was never enough material: the entire belt holds only about 3 per cent of the Moon's mass, and the four largest bodies hold about half of that.

The first was found by accident and design together. On 1 January 1801 Giuseppe Piazzi, at Palermo Observatory, spotted a moving point he named Ceres. It was lost behind the Sun, then recovered thanks to an orbit calculated by the 24-year-old Carl Friedrich Gauss. Pallas, Juno and Vesta followed by 1807, and each was briefly called a planet until there were too many. Ceres, 940 kilometres across, became a dwarf planet in 2006.

Jupiter has also carved the belt's structure. In 1866 Daniel Kirkwood noticed gaps where few asteroids orbit, at distances where an asteroid would circle the Sun exactly three times for each Jupiter orbit, or five times for every two. Those regular tugs pile up and throw the rocks out of such orbits, some onto paths that cross Earth's. Jupiter also corrals other groups: the Hildas in a 3:2 rhythm, and the Trojans, two swarms that share Jupiter's orbit 60 degrees ahead and behind.

Did you know? Despite the films, the belt is overwhelmingly empty: spacecraft cross it with no special precautions, and from the surface of a typical asteroid the nearest sizeable neighbour would usually be too far away to see with the naked eye.

Spacecraft have turned points of light into places. Pioneer 10 first crossed the belt safely in 1972. Galileo flew past Gaspra in 1991 and Ida in 1993, finding Ida had its own tiny moon, Dactyl. NASA's Dawn, driven by ion engines, orbited Vesta in 2011 and 2012 and Ceres from 2015 to 2018; it found Vesta's huge Rheasilvia impact basin, source of a family of meteorites that land on Earth, and bright salt deposits in Ceres's Occator crater left by briny water from below. Lucy, launched in 2021, flew past the small belt asteroids Dinkinesh and Donaldjohanson on the way to the Trojans, which it is due to visit from 2027 to 2033, and Psyche is heading for a metal-rich asteroid of the same name.

Most meteorites in museum cases come from the belt, so we hold pieces of it in our hands. They are the unbuilt bricks of the planets, preserving the chemistry of the solar system's first few million years, including, in some, the amino acids that life uses. The belt is not a minefield; it is an archive.

The asteroid belt: rubble Jupiter would not let settle Millions of rocks, mostly empty space: no film-style dodging required. distance from the Sun in AU · bar height = number of asteroids (schematic) 2 AU 3 AU 4 AU 5 AU Mars 1.52 AU Jupiter 5.2 AU, the sculptor 1 3:1 5:2 7:3 2:1 Kirkwood gaps orbits in step with Jupiter 2 Vesta 525 km Ceres 940 km Dawn, ion-engine orbiter Vesta 2011-12, Ceres 2015-18 Ceres: dwarf planet since 2006 3 Hildas 3:2 resonance Trojans Trojans: Jupiter's escorts 60° ahead and behind Lucy flybys 2027-2033 4 Whole belt: ~3% of the Moon's mass Ceres, Vesta, Pallas, Hygiea hold about half of it 5
Fig 26 · The Asteroid Belt. The belt by distance: Kirkwood gaps carved by Jupiter, Ceres and Vesta, Hildas and Trojans
Chapter 27 · Part III

Jupiter

Jupiter is the giant of the planets: 139,820 kilometres across, eleven times Earth's width, and 318 times its mass, about two and a half times all the other planets combined. It is made mostly of hydrogen and helium, like the Sun, and it spins faster than any other planet, once every 9 hours 56 minutes, which flattens it visibly at the poles and draws its clouds into bright zones and darker belts that circle the globe.

There is no surface to stand on. Beneath ammonia clouds whose tops sit near minus 145°C, the hydrogen grows denser and hotter with depth until gas grades into liquid. Thousands of kilometres down, at millions of times Earth's air pressure, it becomes metallic hydrogen, its electrons free to flow, and currents in that churning conductor generate the strongest planetary magnetic field in the solar system. NASA's Juno spacecraft, orbiting since 2016, measured the gravity field closely enough to find that the core is not a neat ball of rock but a dilute core, heavy elements smeared through a large part of the interior, perhaps by a giant impact long ago.

The Great Red Spot is a storm wider than Earth, though it has been shrinking: it was more than twice as long in the late 19th century. It has been watched continuously since at least 1831; whether the spot Giovanni Cassini reported in 1665 was the same storm is doubtful. Jupiter is often called a failed star, but that is a myth. It would need about 80 times its mass to ignite hydrogen fusion. Its role as Earth's shield is also debated: its gravity flings many comets away, but it nudges others inward too. In July 1994 the world watched fragments of Comet Shoemaker-Levy 9 strike Jupiter, leaving dark scars bigger than Earth.

Did you know? Jupiter's moon Ganymede, 5,268 km across, is larger than the planet Mercury and the only moon known to generate its own magnetic field.

When Galileo turned his telescope on Jupiter in January 1610 he found four moons circling it, the first objects ever seen orbiting something other than Earth. Io, the innermost, is the most volcanic body known, with hundreds of active volcanoes heated by tidal squeezing. Europa hides a salty ocean beneath its ice shell, possibly holding twice the water of Earth's oceans. Ganymede and Callisto may hold buried oceans too. NASA's Galileo orbiter studied the system from 1995 to 2003 and dropped a probe into the atmosphere. ESA's JUICE, launched in 2023, is due to arrive in 2031, and NASA's Europa Clipper, launched in 2024, in 2030, to ask whether those oceans could support life.

Jupiter is easy to find, the brightest point in the night sky after Venus for much of the year, and a pair of steady binoculars shows the four Galilean moons as tiny stars in a line. Watch them shift from night to night and you see what Galileo saw.

Jupiter: a hydrogen world with no floor Galileo's four moons, seen in 1610, proved not everything circles the Earth. cutaway, radii to scale · 139,820 km wide, 11 Earths Earth Red Spot Cloud bands, Great Red Spot ammonia clouds, -145°C tops storm wider than Earth 1 Molecular hydrogen gas grades into liquid no solid surface anywhere 2 Metallic hydrogen crushed into a conductor dynamo for a vast magnetosphere 3 Dilute core rock and ice smeared outward Juno gravity data, 2016- 4 5 Io volcanoes Europa ocean Ganymede largest Callisto cratered
Fig 27 · Jupiter. Inside Jupiter: cloud bands, liquid and metallic hydrogen, a dilute core, four great moons
Chapter 28 · Part III

Saturn's Rings

Saturn's rings are the most spectacular structure in the solar system and one of the flimsiest. The main rings span about 280,000 kilometres from edge to edge, roughly three-quarters of the distance from Earth to the Moon, yet over most of their area they are only about 10 metres thick. Shrink them to the thickness of a sheet of paper and they would still be about 3 kilometres across. They are made of countless separate pieces of nearly pure water ice, from grains of dust to boulders the size of houses, each on its own orbit around the planet.

Seeing what they were took half a century. Galileo's small telescope showed Saturn with strange ears in 1610, and in 1612 the ears vanished, because the rings had turned edge-on to Earth. In 1659 Christiaan Huygens published the answer: a thin, flat ring that touches the planet nowhere. In 1675 Giovanni Cassini found the dark gap now called the Cassini Division. In 1859 James Clerk Maxwell proved mathematically that a solid ring would tear itself apart, so it must be a swarm of particles, and in 1895 James Keeler confirmed it with a spectroscope, showing the inner parts orbit faster than the outer.

The rings are named by letter in order of discovery, which is why they run D, C, B, A, F, G and E outward. The B ring is the broadest and densest; the Cassini Division, about 4,600 kilometres wide, is cleared by a resonance with the moon Mimas; the small moon Pan sweeps the Encke Gap in the A ring; and the narrow F ring is kept in line by two shepherd moons, Prometheus and Pandora. Far outside, the faint E ring is fed by ice geysers erupting from the moon Enceladus, discovered by the Cassini spacecraft in 2005.

Did you know? The rings seem to disappear roughly every 15 years when Earth passes through their plane; the latest such crossing came in March 2025, and Saturn looked almost ringless in small telescopes.

Most of the detail comes from NASA's Voyager flybys of 1980 and 1981 and the Cassini orbiter, which studied Saturn from 2004 to 2017. In its Grand Finale Cassini dived 22 times through the gap between the rings and the planet, weighing the rings at about 40 per cent of the mass of Mimas. Their cleanness suggested they might be young, perhaps a few hundred million years old, though others argue old rings could stay bright, and the debate is open. Saturn is also eating them: ice falls into its atmosphere as ring rain, and on some estimates the rings could be largely gone in a few hundred million years.

Saturn has 274 known moons, the most of any planet, and is so light for its size that it is less dense than water. Even a small telescope shows the rings, and almost everyone who sees them for the first time gasps. We happen to live in the age when Saturn wears them.

Saturn's rings: a billion icebergs, barely a building thick Rings may be a passing phase: Saturn is slowly swallowing them. radial profile, to scale · distance from Saturn's centre Saturn 80,000 km 100,000 km 120,000 km ~10 m thick, ~280,000 km across like paper 3 km wide Cassini mission, 2004-2017 99% water ice grains of dust to house-sized total mass ~40% of moon Mimas D C ring faint, darker 1 B ring densest, 25,500 km wide 2 Cassini Division 4,600 km gap · 1675 2:1 with Mimas 3 A ring Encke gap, moon Pan 4 F ring Prometheus, Pandora 5 ring rain: ice falls into Saturn outer E ring fed by Enceladus geysers
Fig 28 · Saturn's Rings. Saturn's main rings to scale, from the faint D ring to the F ring and its shepherd moons
Chapter 29 · Part III

The Ice Giants

Uranus and Neptune are a class of their own, the ice giants. Both are about four times Earth's width, 51,118 and 49,528 kilometres across, and around 15 and 17 times its mass. Unlike Jupiter and Saturn they are not mostly hydrogen. Beneath an atmosphere of hydrogen, helium and methane lies a deep, hot, slushy mantle of water, ammonia and methane, the substances planetary scientists call ices even though they are fluid, around a rocky core. Methane in the upper air absorbs red light, which is why both look blue-green.

Uranus was the first planet discovered with a telescope. On 13 March 1781 William Herschel, a musician turned astronomer, spotted it from his garden in Bath and at first took it for a comet. It is the strange one: its axis is tilted by about 98 degrees, so it rolls around the Sun on its side, perhaps knocked over by a giant impact. Over its 84-year orbit each pole gets about 42 years of continuous sunlight followed by 42 years of night. It gives off almost no internal heat, and its atmosphere has the coldest temperatures measured on any planet, about minus 224°C. Its faint rings were found in 1977 when they blocked the light of a star.

Neptune was found with mathematics. Uranus was drifting from its predicted path, and Urbain Le Verrier in France, like John Couch Adams in England, calculated where an unseen planet must be pulling it from. On 23 September 1846 Johann Galle at the Berlin Observatory found Neptune within about one degree of Le Verrier's position. Its orbit takes 165 years, so it completed its first lap since discovery only in 2011. Despite receiving little sunlight, Neptune has the fastest winds in the solar system, around 2,100 kilometres an hour. Its largest moon, Triton, orbits backwards and is probably a captured Kuiper Belt world.

Did you know? Galileo saw Neptune in December 1612 and January 1613, more than two centuries before its discovery, but recorded it in his notes as a faint star.

Each planet has been visited only once, by Voyager 2: Uranus in January 1986 and Neptune in August 1989, when it found the Great Dark Spot, a storm that had vanished by the time the Hubble Space Telescope looked in 1994, and nitrogen geysers on Triton. The famous deep-blue Voyager images of Neptune were contrast-enhanced; a 2024 reanalysis led by Patrick Irwin at Oxford showed both planets are a similar pale greenish-blue. The James Webb Space Telescope now images their rings and moons, and a Uranus orbiter and probe was the top flagship priority of the 2022 US planetary science survey.

Ice giants may be the most common kind of planet in the galaxy, judging by the many Neptune-sized worlds found around other stars, yet ours remain the least explored. The two faint blue dots at the edge of the solar system are a reminder of how much is still unseen.

Uranus and Neptune: twins with different stories Two worlds, one flyby each: the least explored planets we have. Uranus 51,118 km wide · Neptune 49,528 km · Earth 12,742 km Uranus Herschel, 1781 tilted 98° 84-year orbit 42-yr polar night air: -224°C 28+ moons 1 Neptune Le Verrier's maths Galle saw it, 1846 165-year orbit winds 2,100 km/h Triton: backwards 16 moons 2 Ice giants water, ammonia, methane mantle rock core H2-He-CH4 air tilted fields 3 Voyager 2 is the only visitor Uranus: Jan 1986 · Neptune: Aug 1989 4 True colours both pale blue-green 5
Fig 29 · The Ice Giants. Uranus and Neptune compared: what they share, what sets them apart, one Voyager flyby each
Chapter 30 · Part III

Pluto & the Kuiper Belt

Beyond Neptune the solar system does not stop; it changes character. The Kuiper Belt, a broad ring of icy bodies roughly 30 to 50 astronomical units from the Sun, holds perhaps 100,000 objects wider than 100 kilometres, leftovers from planet formation that never grew. Pluto is the best known. On 18 February 1930 Clyde Tombaugh, a 24-year-old assistant at Lowell Observatory in Arizona, found it by flicking between photographic plates and spotting a dot that moved. An 11-year-old Oxford girl, Venetia Burney, suggested the name.

Pluto turned out to be small. In 1978 James Christy discovered its moon Charon, half Pluto's width, and the pair's orbits revealed Pluto's mass: less than a fifth of the Moon's. Pluto is 2,377 kilometres across, smaller than our Moon, on a tilted, stretched orbit that takes 248 years and brought it inside Neptune's path between 1979 and 1999. Then the neighbourhood filled in. On 30 August 1992 David Jewitt and Jane Luu found the first other Kuiper Belt object, and on 5 January 2005 Mike Brown, Chad Trujillo and David Rabinowitz spotted Eris in images taken in 2003, about the same size as Pluto and 27 per cent more massive. Either both were planets, or neither. In August 2006 the International Astronomical Union voted in Prague to make Pluto a dwarf planet, because it has not cleared its orbit of other bodies.

The demotion did nothing to dull the place. NASA's New Horizons flew past on 14 July 2015 at 12,500 kilometres and found an active world: a heart-shaped region, Tombaugh Regio, whose western lobe, Sputnik Planitia, is a basin about 1,000 kilometres wide filled with slowly churning nitrogen ice; mountains of water ice several kilometres high; and layers of blue haze. On 1 January 2019 it passed Arrokoth, a 36-kilometre snowman of two lobes that merged gently, the most primitive object ever explored.

Did you know? Pluto has not completed a single orbit since its discovery: its year lasts 248 Earth years, so its first full lap since 1930 ends around 2178.

Farther still, the solar wind ends. Voyager 1 crossed the heliopause, the boundary where the Sun's wind gives way to interstellar gas, in August 2012 at about 122 AU, and Voyager 2 followed in 2018. Beyond lies the Oort Cloud, proposed by Jan Oort in 1950 to explain long-period comets: perhaps trillions of icy bodies from about 2,000 out to 100,000 AU or more. That outer edge is more than a third of the way to the nearest star, Proxima Centauri, at 268,000 AU. No one has ever seen the cloud directly, and at its present speed Voyager 1 would need around 300 years to reach its inner edge.

The Kuiper Belt and Oort Cloud send us comets, and with them a deep-freeze sample of the material the planets were made from. Pluto lost its planet title but gained something better: a reputation as the gateway to the largest region of the Sun's family.

Beyond Neptune: the long staircase to the Sun's edge Pluto is a beginning, not an end: the Sun's reach runs thousands of times further. block height = log of distance from the Sun · 1 AU = 150 million km farther from the Sun Neptune 30 AU Kuiper Belt: 30-50 AU 1 Pluto 39.5 AU Arrokoth 44 AU New Horizons: Pluto, 14 July 2015 2,377 km wide, smaller than the Moon Sputnik Planitia: nitrogen ice Arrokoth flyby: 1 January 2019 248-year orbit · 5 moons 2 Eris 68 AU Eris, 2005: 27% heavier than Pluto · forced the IAU 2006 vote: dwarf planets 3 Heliopause ~120 AU Voyager 1, 2012 4 Oort, inner ~2,000 AU Oort, outer ~100,000 AU Proxima 268,000 AU 5
Fig 30 · Pluto & the Kuiper Belt. Beyond Neptune on a log scale: Pluto, Arrokoth, Eris, the heliopause and the Oort Cloud
Part IV

The Sun & the Stars

How stars are born, live and spectacularly die.

Chapter 31 · Part IV

Anatomy of the Sun

The Sun is an ordinary star seen from unusually close. It is a ball of hydrogen and helium plasma 1.39 million kilometres across, 109 times the width of Earth, holding 333,000 Earth masses and about 99.8 per cent of all the mass in the Solar System. It is not on fire. Nothing burns; instead, nuclear fusion in the centre releases about 380 trillion trillion watts, enough every second to cover humanity's present energy use for several hundred thousand years.

The Sun is built in shells. The core, the inner quarter of the radius, reaches about 15 million °C and a density around 150 times that of water. Outside it lies the radiative zone, so dense that light cannot travel straight: each photon is absorbed and re-emitted countless times, and energy takes something like 100,000 years to work its way out. At about 70 per cent of the radius the gas begins to turn over like a simmering pan. In this convective zone hot plasma rises, cools and sinks, and the tops of the cells show on the surface as granules around 1,000 kilometres wide that live for about ten minutes.

What we call the surface, the photosphere, is simply the layer where the gas becomes transparent, a skin a few hundred kilometres thick at about 5,500 °C. Above it the thin chromosphere glows pink during total eclipses, and beyond that the corona streams out for millions of kilometres at one to three million degrees. Why the outer atmosphere is hundreds of times hotter than the surface is the coronal heating problem; the leading suspects are magnetic waves and countless tiny magnetic explosions.

Nobody can look inside, yet the interior is well mapped. In 1960 Robert Leighton found the surface rising and falling with a period of about five minutes, and helioseismology now reads millions of such sound waves, from the ground network GONG and from the SOHO and Solar Dynamics Observatory spacecraft, to measure the depth of the convective zone and how the inside rotates. Neutrinos made in the core fly straight out in about two seconds: Ray Davis first caught them in a tank of dry-cleaning fluid deep in a South Dakota mine from 1968. Close up, NASA's Parker Solar Probe swept to within about 6.1 million kilometres of the surface on 24 December 2024, nearer than any spacecraft before, while the four-metre Daniel K. Inouye Solar Telescope on Maui resolves surface features about 30 kilometres across.

Did you know? Seen from space the Sun is white, not yellow: its light is a near-even blend of all colours, and our atmosphere scatters some of the blue away to leave the familiar yellowish disc.

The sunlight on your face left the photosphere 8 minutes and 20 seconds ago, but the energy it carries was released in the core long before the first farmers sowed a field. The corona's endless outflow, the solar wind, is the weather our satellites fly through. Sunlight is old news by the time it reaches us: tens of millennia in the making, eight minutes in the post.

Inside the Sun: a furnace built in layers not to scale · block depth = share of the Sun's radius The light you see today set out from the core tens of thousands of years ago. Core · 0–25% of radius c. 15 million °C · fusion density c. 150 × water 1 Radiative zone · 25–70% photons random-walk outward c. 100,000 years to cross 2 Convective zone + surface granules c. 1,000 km wide photosphere c. 5,500 °C 3 Corona 1–3 million °C streams out as the solar wind 4 How we know what is inside Helioseismology 5-min waves · Leighton 1960 Neutrinos Davis, Homestake mine · 1968 Parker Solar Probe 6.1 million km · 24 Dec 2024 5
Fig 31 · Anatomy of the Sun. The Sun's layers as stacked blocks, from the fusion core to the million-degree corona
Chapter 32 · Part IV

Nuclear Fusion

Every star is a balancing act. Gravity pulls the gas inward; the heat and pressure of nuclear fusion push back. In the Sun's core, at about 15 million °C and under a pressure some 250 billion times that at sea level, bare hydrogen nuclei, which are simply protons, are squeezed together into helium. The finished helium nucleus weighs about 0.7 per cent less than the four protons that made it, and that missing mass leaves as energy, exactly as Einstein's E = mc² of 1905 demands.

The route is the proton–proton chain. First two protons collide and one turns into a neutron, making deuterium and spitting out a positron and a neutrino. This step relies on the weak nuclear force and is fantastically slow: a given proton waits on average around ten billion years for it. The deuterium then grabs another proton within about a second to become helium-3, and two helium-3 nuclei merge into helium-4, handing two protons back to the pool. Strictly, the protons should never touch at all, since 15 million degrees is far too cool to beat their electrical repulsion. They get through by quantum tunnelling, the effect George Gamow explained in 1928 and Robert Atkinson and Fritz Houtermans applied to stars a year later.

The scale is hard to hold in the mind. The Sun turns around 600 million tonnes of hydrogen into helium every second and loses about four million tonnes of mass as pure energy. Yet the core's power density is feeble, roughly 280 watts per cubic metre. In stars more than about 1.3 times the Sun's mass a different route dominates, the CNO cycle, in which carbon, nitrogen and oxygen nuclei act as catalysts. Hans Bethe worked out both processes in 1938 and 1939 and won the 1967 Nobel Prize for it.

The theory has been tested directly. Arthur Eddington suggested in 1920 that stars shine by turning hydrogen into helium, soon after Francis Aston weighed helium and found it lighter than four hydrogen atoms. Neutrinos from the very first step of the chain were detected by the Borexino experiment under Italy's Gran Sasso mountain in 2014, and CNO neutrinos in 2020, showing that the Sun runs about 1 per cent on that cycle. Some 60 billion solar neutrinos pass through each square centimetre of your skin every second, at night too, because the Earth barely slows them.

Did you know? Litre for litre, a resting human body gives off more heat than the core of the Sun; the Sun outshines us only because its core is around 20,000 times the volume of the Earth.

On Earth, copying the Sun is hard because we cannot borrow its gravity. Laboratories confine plasma with magnets, as at the ITER project under construction in southern France, or crush fuel pellets with lasers: in December 2022 the National Ignition Facility in California released more fusion energy than its lasers delivered to the target, a first. The Sun, about halfway through its ten-billion-year hydrogen budget, has another five billion years to go. Every warm afternoon is a little mass, gone for good, turned into light.

The proton–proton chain: four protons in, one helium out proton neutron A whisper of lost mass, 0.7 per cent, is what makes the Sun shine. Step 1 · weak force + + e⁺ + ν deuterium wait c. 10 bn yr × 2 1 Step 2 · c. 1 second + + γ helium-3 × 2 2 Step 3 · fusion of ³He + + p + p helium-4 · the product 3 The mass ledger 4 protons 4.029 u 1 helium-4 4.002 u missing: c. 0.7% E = mc² · 26.7 MeV Sun: c. 600 Mt H per second c. 4 Mt of mass → energy Bethe 1938–39 4 Two ways out of the Sun γ photons gamma rays random walk c. 100,000 yr sunlight 8 min 20 s to us neutrinos barely interact leave Sun c. 2 seconds reach Earth 60 bn /cm² /s 5
Fig 32 · Nuclear Fusion. The proton–proton chain: four protons fuse into one helium nucleus and a flash of energy
Chapter 33 · Part IV

Space Weather

The Sun is not a steady lamp. Its equator spins once in about 25 days and its poles in about 35, so its magnetic field is wound up, tangled and knotted until loops burst through the surface. The knots show as sunspots, regions around 1,500 degrees cooler than their surroundings because the strong field chokes the upwelling heat. Their number rises and falls in the solar cycle of about 11 years, spotted by the German amateur Heinrich Schwabe in 1843. At each cycle the overall field flips, so the full magnetic cycle, found by George Ellery Hale, lasts about 22 years.

When tangled fields snap and reconnect they release solar flares, bursts of X-rays and ultraviolet that cross to Earth in eight minutes. Often they come with coronal mass ejections, clouds of magnetised plasma weighing billions of tonnes, hurled out at hundreds to more than 2,000 kilometres per second, which take from under a day to about four days to reach us. When a CME's magnetic field points against Earth's, it couples into our magnetosphere and drives a geomagnetic storm.

The benchmark is the Carrington event. On 1 September 1859 the English astronomer Richard Carrington, sketching sunspots, saw two beads of white light flare and fade; about 17 hours later the storm hit, auroras glowed as far south as Cuba and telegraph operators took shocks while some lines carried messages on the storm's current alone. In March 1989 a smaller storm collapsed Quebec's power grid in about 90 seconds, leaving six million people without power for nine hours. In February 2022 a modest storm swelled the upper atmosphere enough to drag down 38 of 49 freshly launched Starlink satellites, and on 10 and 11 May 2024 the strongest storm in two decades painted auroras over southern England, Spain and Mexico.

A common picture has solar particles raining straight down to light the aurora. In fact the storm loads energy into the long magnetic tail Earth trails behind it, and electrons accelerated there spiral down the field lines to strike oxygen about 100 to 300 kilometres up, glowing green and, higher still, red, while nitrogen adds blue and purple. Watching for trouble is now routine. SOHO's coronagraphs have seen CMEs leave the Sun since 1996, NOAA's DSCOVR spacecraft at the L1 point, 1.5 million kilometres sunward, gives roughly 15 to 60 minutes' warning of an arriving cloud, and the UK Met Office has run a round-the-clock space weather centre since 2014.

Did you know? Between about 1645 and 1715 astronomers recorded almost no sunspots at all; the lull, now called the Maunder Minimum, overlapped some of the coldest decades of the Little Ice Age.

Cycle 25, which began in December 2019, peaked around late 2024 and is winding down towards a minimum expected near 2030, though big storms often strike on the declining side. For most of us space weather is a gift: green curtains caught on a phone camera from a suburban garden. For grid engineers, airlines and satellite operators it is a forecast checked daily, because the star that warms us also, now and then, throws things.

The 11-year solar cycle and a storm's path to Earth Sun–Earth distance not to scale c. 11 yr Schwabe 1843 flips: 22 yr Rising spots grow Declining late storms The star that warms us also, now and then, throws things. Minimum 2019 · c. 2030 1 Maximum peak c. 2024 sunspot peak 2 Sun flare + CME X-rays: 8 min CME: <1 to c. 4 days 3 L1 SOHO · DSCOVR 1.5 M km out 15–60 min warning 4 Earth 1859 Carrington 1989 Quebec dark 2022 38 Starlinks May 2024: auroras over southern England storm-time electrons hit O and N2 at 100–300 km 5
Fig 33 · Space Weather. The 11-year solar cycle and how a coronal mass ejection travels to Earth
Chapter 34 · Part IV

Stellar Nurseries

Stars are born in the coldest places in the galaxy. Giant molecular clouds, made mostly of hydrogen molecules with a seasoning of dust, sit at 10 to 20 degrees above absolute zero and can hold from ten thousand to a few million times the mass of the Sun, spread across tens to hundreds of light-years. They are thin by earthly standards, a few hundred molecules in each cubic centimetre, emptier than any laboratory vacuum, but there is so much of them that their own gravity matters.

A clump collapses when its gravity beats the pressure of its gas, a threshold worked out by James Jeans in 1902. A nudge helps: the shock of a nearby supernova, the wind of a hot young star or the squeeze of a spiral arm. The densest cores fall inward over around 100,000 years, spinning faster as they shrink, like a skater pulling in her arms, and flattening into a disc around a hot protostar. Material that cannot fall in is flung out along twin jets from the poles, punching glowing knots called Herbig–Haro objects into the surrounding gas. For a star like the Sun, slow contraction then continues for some tens of millions of years until the core reaches about 10 million °C and hydrogen fusion ignites. Clumps below about 8 per cent of the Sun's mass never get there and become brown dwarfs.

Visible light cannot see into a nursery, because dust blocks it, but infrared and radio waves slip through. The Spitzer and Herschel space telescopes mapped clouds threaded with long filaments; the ALMA array in Chile's Atacama Desert photographed the young star HL Tauri in 2014 with rings and gaps already carved in its disc; and since 2022 the James Webb Space Telescope has looked through the dust at jets, cavities and newborn stars in sharp detail.

The best known nursery is visible from a garden. The Orion Nebula, M42, about 1,350 light-years away, is the fuzzy middle "star" of Orion's sword, lit by the hot Trapezium stars at its heart. In the 1990s Hubble revealed dozens of protoplanetary discs, nicknamed proplyds, silhouetted against its glow. In the Eagle Nebula, M16, some 6,500 light-years off, the Pillars of Creation, photographed by Hubble in 1995 and again by Webb in 2022, are columns of gas several light-years tall, eroded at their tips by starlight. A popular claim that a supernova has already destroyed them, based on a 2007 Spitzer study, has never been confirmed.

Did you know? Stars are rarely born alone: most form in clusters, and the Sun's siblings, born from the same cloud 4.6 billion years ago, have long since scattered around the galaxy.

The Milky Way still makes roughly one to two Suns' worth of new stars every year, and most of the newborns are small red dwarfs. Every atom in your body passed through a cloud like these before the young Earth gathered it up. When you find M42 in winter binoculars you are looking at a maternity ward with the lights on.

From cold cloud to newborn star a Sun-like star · times approximate c. 100,000 yr c. 0.5 Myr tens of Myr ignition Every atom in you passed through a cloud like these. Cold cloud 10–20 K 10⁴–10⁶ Suns 1 Core collapse Jeans 1902 spins up 2 Protostar disc + jets Herbig–Haro 3 Contraction T Tauri stage <0.08 Suns fail 4 Star ignites core 10 M °C main sequence M42 · Orion Nebula c. 1,350 ly · Trapezium naked-eye in Orion's sword M16 · Pillars c. 6,500 ly · Hubble 1995 Webb revisit 2022 HL Tauri ALMA 2014 · ringed disc planets forming 5
Fig 34 · Stellar Nurseries. From cold cloud to newborn star: the stages of star birth and where to see them
Chapter 35 · Part IV

The Main Sequence

Look at any star in the night sky and the odds are that it is quietly doing what the Sun does: fusing hydrogen into helium in its core. This long, stable phase is the main sequence, and stars spend about 90 per cent of their lives on it. A star joins on the day fusion ignites and stays in rough balance, gravity against pressure, until the hydrogen in its core runs low. The Sun is 4.6 billion years into a stay of about ten billion.

One number decides almost everything: mass. A star twice the Sun's mass is not twice as bright but more than ten times as bright, because luminosity climbs roughly as mass to the power 3.5. Bigger stars therefore burn through their fuel ferociously. A star of ten solar masses lasts some 20 million years; the Sun, ten billion; a red dwarf of a tenth of a solar mass, should shine for several trillion years. Stars range from about 0.08 solar masses, the lower limit for hydrogen fusion, to well over 100.

Astronomers sort stars by their spectra into the classes O, B, A, F, G, K and M, from blue-white stars above 30,000 degrees to red ones below about 3,700, a scheme largely built at Harvard by Annie Jump Cannon, who classified hundreds of thousands of stars by eye. In 1925 Cecilia Payne showed in her doctoral thesis that stars are made overwhelmingly of hydrogen and helium, a result so unexpected that she was persuaded to describe it as probably spurious. Masses come from binary stars: watching two stars orbit each other and applying Kepler's third law weighs them. The European Space Agency's Gaia mission, launched in 2013, has measured distances to nearly two billion stars.

The night sky offers a tour of the sequence. Sirius A, the brightest star, is an A-type star of about twice the Sun's mass shining 25 times as brightly, 8.6 light-years away. The Sun is a modest G2 star. Proxima Centauri, the nearest star at 4.24 light-years, is an M dwarf of about an eighth of the Sun's mass, invisible without a telescope. At the other extreme, the brightest Trapezium star in the Orion Nebula, Theta-1 Orionis C, has around 30 solar masses and will be gone within a few million years. Red dwarfs are the silent majority, about three in every four stars in the Milky Way, yet barely any can be seen with the naked eye.

Did you know? No red dwarf has ever died of old age: their lifetimes run to trillions of years, and the universe is only 13.8 billion years old.

The main sequence also explains why the Sun has been kind to us. A much heavier star would have died before life got going; a much lighter one would offer a dim, flare-prone glow. The Sun has brightened by about 30 per cent since its birth and will keep slowly brightening, but for now it sits near the middle of the table, steady enough for four billion years of biology. Mass is destiny, and ours was just about right.

The main sequence: heavier stars die younger block height = log of main-sequence lifetime 10 Myr 1 bn yr 10 bn yr 1 tn yr Mass is destiny: double it and a star burns ten times as bright. Theta-1 Ori C O · c. 30 Suns a few Myr 1 Sirius A A · 2 Suns c. 1 bn yr 2 The Sun G2 · 1 Sun c. 10 bn yr 3 Proxima Cen M · 0.12 Suns trillions of yr 4 The rule of mass luminosity ∝ mass^3.5 lifetime falls ∝ mass^-2.5 classes: O B A F G K M hot, blue → cool, red 5
Fig 35 · The Main Sequence. Star lifetimes as blocks: the heavier the star, the faster it burns out
Chapter 36 · Part IV

The HR Diagram

Around 1911 the Danish astronomer Ejnar Hertzsprung, and independently in 1913 the American Henry Norris Russell, plotted the brightness of stars against their colour and found that the points did not scatter at random. They crowded into a few distinct regions. The result, the Hertzsprung–Russell diagram, is astronomy's periodic table: a single chart on which a star's position reveals its size, its stage of life and often its mass.

By convention the horizontal axis shows surface temperature, or spectral class, with hot blue stars on the left and cool red ones on the right, an awkward backwards order kept from history. The vertical axis shows luminosity, usually on a logarithmic scale from a ten-thousandth of the Sun to a million Suns. Because a star's output depends on its surface area and on the fourth power of its temperature, a cool star can be very bright only if it is enormous, so lines of equal radius slant across the chart, with giants at the top right and dwarfs at the bottom left.

About nine stars in ten lie on the main sequence, the diagonal band running from hot, bright stars such as Spica down to dim red dwarfs like Proxima Centauri, with the Sun, at 5,800 kelvin and one solar luminosity, about halfway along. Above it to the right sit the red giants, such as Arcturus and Aldebaran, tens of times the Sun's width. Across the very top run the supergiants: in Orion, red Betelgeuse at about 3,600 kelvin and blue-white Rigel at about 12,000 kelvin both shine with something like 100,000 Suns' worth of light. Far below lie the white dwarfs, hot but tiny. Sirius B, the faint companion of the brightest star in the sky, packs about the Sun's mass into a ball roughly the size of Earth.

The diagram is a snapshot, not a racetrack. A star does not slide down the main sequence as it ages; it sits at a point set by its mass, then leaves, swelling up and to the right towards the giants and ending, for most, among the white dwarfs. Plot a single star cluster, whose members share an age, and the main sequence is eaten away from the top: that turn-off point dates the cluster, and puts the oldest globular clusters at around 12 billion years or more. In 2018 the Gaia mission's second data release plotted more than four million nearby stars with such precise distances that new fine structure appeared, including a split in the white dwarf sequence.

Did you know? In late 2019 and early 2020 Betelgeuse faded to well under half its usual brightness; observations later showed this "Great Dimming" was caused by a dusty cloud the star had puffed out, not a sign of imminent explosion.

For a backyard observer the diagram is hidden in plain sight. Orion alone holds a red supergiant, a blue supergiant and a nursery of newborn stars, and the colours you can see by eye, Betelgeuse's orange against Rigel's icy white, are temperatures you are reading directly. Every star in the sky has an address on one chart.

The Hertzsprung–Russell diagram luminosity · Sun = 1 40,000 K 20,000 10,000 5,000 3,000 10⁶ 10⁴ 100 1 0.01 10⁻⁴ O B A F G K M surface temperature: hot ← → cool 100 R☉ 1 R☉ 0.01 R☉ Every star in the sky has an address on one chart. Spica Sirius A Proxima Cen main sequence c. 90% of stars 1 Arcturus Aldebaran red giants 2 Rigel Betelgeuse supergiants 3 Sirius B Earth-sized white dwarfs 4 The Sun G2 · 5,800 K 5
Fig 36 · The HR Diagram. The Hertzsprung–Russell diagram: temperature against luminosity for named stars
Chapter 37 · Part IV

Red Giants & White Dwarfs

The Sun is in middle age, and its future is unusually well understood, because we can see other stars further along the same road. Even now it is about 30 per cent brighter than at its birth, and in around a billion years it will be roughly 10 per cent brighter still, enough, many models suggest, to drive off Earth's oceans long before anything dramatic happens to the Sun itself.

In about five billion years the hydrogen in the core runs out. The core, now helium ash, contracts and heats while hydrogen burns in a shell around it, and the outer layers swell enormously: the Sun becomes a red giant, cooler at the surface, a couple of thousand times as luminous and perhaps 200 times its present width. Mercury and Venus will be swallowed. Whether Earth follows is genuinely debated, because the swollen Sun will lose much of its mass, loosening its grip and letting the planets drift outward. When the core reaches about 100 million °C, helium ignites in the helium flash and starts fusing into carbon and oxygen, and the star settles down for around 100 million years before swelling once more.

In its last swollen phase the Sun will shed its outer layers in pulses, exposing a hot core whose ultraviolet light makes the expelled gas glow. This is a planetary nebula, a name from William Herschel in the 1780s, because the round glows looked like planets in his telescope; they have nothing to do with planets. The Ring Nebula, M57 in Lyra, is the classic example; the Helix Nebula, NGC 7293, about 650 light-years away, is among the nearest; and the Southern Ring, NGC 3132, was one of the James Webb Space Telescope's first images in July 2022.

What remains is a white dwarf: a cinder of about half the Sun's mass crushed into a sphere the size of Earth, so dense that a teaspoonful would weigh several tonnes. It shines only by stored heat. Gravity is held off not by fusion but by electrons that, by quantum rules, refuse to be packed any closer, a pressure with a ceiling: in 1930 the young Subrahmanyan Chandrasekhar calculated that no white dwarf can exceed about 1.4 solar masses. The first known was Sirius B, inferred by Friedrich Bessel from the wobble of Sirius in 1844, glimpsed by Alvan Graham Clark in 1862. In 2019 Gaia data revealed white dwarfs crystallising as they cool, their carbon and oxygen freezing into solid cores.

Did you know? No white dwarf has yet cooled into a cold, dark "black dwarf": that takes vastly longer than the 13.8 billion years the universe has existed.

About 97 per cent of the stars in the Milky Way, the Sun among them, will end this way. It is the quiet majority fate: no explosion and no black hole, just a long cooling glow surrounded by the drifting remains of its planets. The carbon and oxygen that earlier giants puffed into space are already in your body. The Sun will go out gently, which is the most any of us can ask.

The Sun's future: swell, shed, cool times from today · sizes and spacing not to scale born 4.6 bn yr ago No bang, just a long cooling glow: the fate of 97 per cent of stars. now Today G2 · 4.6 bn yr 30% brighter 1 +1 bn yr Oceans lost +10% brighter oceans boil off 2 Mercury Venus +5 to 7.6 bn yr Red giant c. 200 × wider eats Mercury 3 +7.7 bn yr Nebula layers shed like M57 4 dwarf Earth then trillions White dwarf Earth-sized max 1.4 Suns 5
Fig 37 · Red Giants & White Dwarfs. The Sun's future, from today's yellow star to red giant, planetary nebula and white dwarf
Chapter 38 · Part IV

Supernovae

A supernova is a star exploding, and for a few weeks it can rival the light of an entire galaxy of billions of stars. There are two main recipes. In a core-collapse supernova, a star of more than about eight solar masses runs out of fuel and its core implodes. In a Type Ia supernova, a white dwarf in a binary system gains enough mass, from a companion or a merger, to approach the 1.4-solar-mass limit and is destroyed in a runaway thermonuclear blast.

A massive star builds its own bomb. After hydrogen and helium it fuses carbon, neon, oxygen and silicon, each stage faster than the last, until it resembles an onion of burning shells around an iron core. For a star of about 25 Suns, hydrogen burning lasts some seven million years, carbon a few centuries and silicon about a day. Iron is the dead end, because fusing it absorbs energy rather than releasing it. Once the iron core passes about 1.4 solar masses it collapses in well under a second, from roughly the size of Earth to a ball some 20 kilometres across, at up to a quarter of the speed of light. Infalling matter rebounds off the newborn neutron star, and a flood of neutrinos helps drive the shock outward through the star.

Most of the energy is invisible. About 99 per cent leaves as neutrinos, and on 23 February 1987 detectors proved it. When SN 1987A went off in the Large Magellanic Cloud, about 168,000 light-years away, the Kamiokande II detector in Japan, IMB in the United States and Baksan in the Soviet Union caught about two dozen neutrinos in 13 seconds, a few hours before the light was seen. It was the first supernova visible to the naked eye since 1604, and in 2024 the James Webb Space Telescope found strong evidence of the neutron star hidden in its debris.

History is studded with them. The supernova of 1006 in Lupus, the brightest ever recorded, was noted by observers from China and Japan to Egypt and Europe. Tycho Brahe's star of 1572 in Cassiopeia showed that the heavens could change, and Kepler's of 1604 in Ophiuchus is the last seen in our own galaxy. In May 2023 the Japanese amateur Koichi Itagaki discovered SN 2023ixf in the Pinwheel Galaxy, M101, 21 million light-years away, the closest core-collapse supernova in a decade. Type Ia explosions, which peak at nearly the same brightness, serve as standard candles for measuring the expanding universe.

Did you know? A supernova would need to be within roughly 50 light-years to seriously damage Earth's ozone layer, and no star that close is massive enough to explode.

The Milky Way should host one or two core-collapse supernovae a century, most hidden from us by dust, so one is arguably overdue. Betelgeuse, some 550 light-years away, will probably explode within the next 100,000 years, bright enough to see in daylight and perfectly safe. The oxygen you are breathing and the calcium in your bones were made in stars and scattered by explosions like these. We are, quite literally, fallout.

Inside a doomed giant: the onion and the collapse star of c. 25 Suns · burn times approximate · not to scale Iron is the dead end: when the core can no longer fuse, it falls. H 7 Myr He 0.7 Myr C c. 500 yr Ne c. 1 yr O c. 6 mo Si c. 1 day fuel, burn time 1 Fe iron core 2 Collapse and bounce Earth-size < 1 s c. 20 km shock 0.25 c fall 3 SN 1987A neutrinos 23 Feb 1987 · LMC · 168,000 ly c. 25 caught in 13 s Kamiokande II · IMB · Baksan 99% neutrinos · 1% light + motion 4 What is left Neutron star most cases Black hole heaviest stars remnants: Crab M1 · Cas A O, Si, Ca, Fe into space 5
Fig 38 · Supernovae. Inside a massive star's onion of burning shells, and the collapse that ends it
Chapter 39 · Part IV

Neutron Stars & Pulsars

A neutron star is what is left when the core of a massive star collapses and the explosion does not finish the job. Squeeze around 1.4 Suns into a sphere some 20 to 25 kilometres across, the size of a city, and electrons are forced into protons until the star is mostly neutrons, packed as tightly as in an atomic nucleus. A sugar cube of the material would weigh hundreds of millions of tonnes, roughly as much as the whole human race.

Walter Baade and Fritz Zwicky proposed such objects in 1934, only two years after the neutron was discovered, but few expected to see one. Then in 1967 Jocelyn Bell, a graduate student at Cambridge working with Antony Hewish on a new radio array covering four and a half acres, noticed a small patch of "scruff" on her chart recordings. It was a pulse repeating every 1.337 seconds, so regular that it was half-jokingly labelled LGM-1, for Little Green Men. Finding more of them in other parts of the sky ruled out aliens: they were pulsars. Hewish shared the 1974 Nobel Prize in Physics with Martin Ryle, and the omission of Bell, now Dame Jocelyn Bell Burnell, is still argued over.

A pulsar is a spinning neutron star whose magnetic field, a trillion times Earth's or more, is tilted away from its spin axis. Charged particles stream along the magnetic poles and beam radiation outward, and each time a beam sweeps across Earth we see a tick, like a lighthouse. The Crab Pulsar, at the heart of the remnant of the supernova of 1054, turns about 30 times a second; PSR J1748−2446ad, in the globular cluster Terzan 5, spins 716 times a second, its equator moving at around a fifth of the speed of light. Magnetars, with fields up to a thousand times stronger still, unleash flares such as the one from SGR 1806−20 on 27 December 2004.

Pulsars are superb clocks, and astronomers use them as instruments. In 1974 Russell Hulse and Joseph Taylor found a pulsar orbiting another neutron star; over the following years the orbit shrank exactly as Einstein's theory predicts if the pair is radiating gravitational waves, earning them the 1993 Nobel Prize. NASA's NICER X-ray telescope on the International Space Station has measured neutron stars about 25 kilometres across, and the heaviest known weigh more than twice the Sun. In 2023 the NANOGrav collaboration, timing dozens of fast-spinning pulsars for 15 years, reported evidence of a background hum of gravitational waves washing through the galaxy.

Did you know? The plaques on Pioneer 10 and 11 and the Voyager golden records show the Sun's position relative to 14 pulsars, each tagged with its period, so that any finder could work out where we live.

More than 3,000 pulsars are now catalogued, many found with great radio dishes such as Parkes in Australia and FAST in China. They are cosmic metronomes, steady enough that they could one day guide spacecraft across the Solar System like a galactic satnav. A dead star, it turns out, keeps excellent time.

A pulsar: the lighthouse model neutron star not to scale with its beams A dead star, it turns out, keeps excellent time. neutrons crust c. 1 km 1 Neutron star c. 1.4 Suns in 20–25 km sugar cube: 100s of Mt spin axis magnetic axis 2 Magnetic field c. 10¹² × Earth's magnetars: up to 1,000 × more radio beam 3 1.337 s CP 1919 · Jocelyn Bell · 1967 4 Record spinners Crab: 30 turns a second J1748−2446ad: 716 a second Clocks for physics Hulse–Taylor binary 1974 NANOGrav hum 2023 5
Fig 39 · Neutron Stars & Pulsars. A pulsar as a cosmic lighthouse: spin axis, magnetic axis, beams and the pulses we see
Chapter 40 · Part IV

Black Holes

A black hole is a region where gravity is so strong that nothing, not even light, can climb out. Its boundary is the event horizon, a point of no return rather than a surface. Its size depends only on its mass: the radius is about 3 kilometres for every solar mass, so a black hole with the Sun's mass would be about 6 kilometres across, and one with the Earth's mass about the size of a marble. At the centre, general relativity predicts a singularity of infinite density, a sign that the theory has reached its limits.

The idea is older than the name. In 1783 the English clergyman John Michell imagined "dark stars" too massive for light to escape. In 1916, Karl Schwarzschild found the first exact solution of Einstein's equations, and it contains the horizon. The term "black hole" was popularised by John Wheeler in 1967. Stellar black holes form when the cores of very massive stars collapse; supermassive ones, of millions to billions of solar masses, sit at the centres of galaxies.

Black holes are seen by what they do to their surroundings. In the early 1970s Cygnus X-1, an X-ray source orbiting a blue supergiant, became the first widely accepted black hole; it is now thought to weigh about 21 Suns. Since the 1990s the teams of Reinhard Genzel and Andrea Ghez have tracked stars whipping round the centre of the Milky Way, including S2, which completes an orbit every 16 years, proving that Sagittarius A\ holds about four million solar masses in a tiny volume; they shared the 2020 Nobel Prize in Physics with Roger Penrose. On 14 September 2015 the twin LIGO detectors recorded GW150914, the gravitational waves from two black holes of about 36 and 29 solar masses merging 1.3 billion light-years away. And in 2019 the Event Horizon Telescope, a planet-wide network of radio dishes, released the first image of a black hole's shadow, in the galaxy M87, followed by Sagittarius A in 2022.

Black holes are not cosmic vacuum cleaners. Far from the horizon their gravity is exactly that of any other object of the same mass; replace the Sun with a black hole of equal mass and Earth's orbit would not change. The danger lies close in. Fall into a stellar black hole and tides would stretch you like spaghetti well before the horizon; fall into a supermassive one and you might cross the horizon unharmed, while distant watchers would see you slow, redden and fade. Stephen Hawking showed in 1974 that black holes should slowly leak radiation, though for stellar ones the glow is far too faint ever to detect.

Did you know? The nearest black hole known, Gaia BH1, lies about 1,560 light-years away and was found in 2022 only by the wobble it gives a Sun-like companion star.

For all their menace, black holes are among the simplest objects in nature, described completely by mass, spin and electric charge. Point binoculars at Cygnus on a summer night and you are looking towards one: invisible by definition, betrayed by the company it keeps.

Black holes: five ways we know they are there Black hole · no light escapes orchestrator · r ≈ 3 km per Sun Anatomy, inside out singularity · event horizon · photon sphere 1.5 r · disc · jets Invisible by definition, betrayed by the company it keeps. X-rays Cygnus X-1 21 Suns · 1972 Uhuru era Gaia BH3 33 Suns · 2024 star's wobble 1 Orbits Star S2 16-yr orbit Sgr A* Genzel, Ghez VLT and Keck Nobel 2020 2 Ripples GW150914 36 + 29 Suns 14 Sep 2015 LIGO-Virgo with KAGRA 200+ mergers 3 Shadows M87* 6.5 bn Suns image 2019 Sgr A* 4 million Suns image 2022 4 Theory Schwarzschild horizon 1916 r = 2GM/c² Hawking radiation 1974 unobserved 5
Fig 40 · Black Holes. How we know black holes exist: five lines of evidence, from X-rays to horizon images
Part V

Galaxies

Star cities, monster black holes and the cosmic web.

Chapter 41 · Part V

The Milky Way

On a dark, moonless night a pale river of light arches across the sky. That river is the Milky Way, our own galaxy, seen from inside its disc. Every star you can see with the naked eye belongs to it, and so do between 100 and 400 billion more. The Greeks called it galaxias kyklos, the milky circle, which is where the word galaxy comes from.

Seen from outside, it would be a barred spiral. A central bar of old stars, roughly 10,000 light-years long on each side of the centre, sits inside a flat disc about 100,000 light-years across but only around 1,000 light-years thick: in proportion, thinner than a vinyl record. Spiral arms, the Perseus and Scutum-Centaurus arms chief among them, wind out from the bar, picked out by young blue stars and glowing gas. Around it all lies a near-spherical halo of sparse old stars, about 150 globular clusters and a much larger cloud of dark matter that brings the galaxy's total mass to roughly a trillion Suns, though estimates still vary.

The Sun lives in a modest spur called the Orion Arm, about 26,000 light-years from the centre. It orbits at around 230 kilometres per second, so even at that speed one lap, a galactic year, takes about 230 million years. The Sun has made only about 20 laps since it formed. At the hub sits Sagittarius A\*, a black hole of about four million solar masses, hidden from optical telescopes behind some 30 magnitudes of dust but plain in radio, infrared and X-rays.

Working this out took four centuries. In 1610 Galileo turned his telescope on the milky band and found it was made of countless faint stars. In 1785 William Herschel counted stars in different directions and drew the galaxy as a flattened disc, with the Sun near the middle. In 1918 Harlow Shapley used the distances to globular clusters to show that the Sun is far off-centre, towards the edge of a much bigger system. Radio astronomers mapping the 21-centimetre glow of hydrogen in the 1950s traced the spiral arms through the dust, and between 2013 and 2025 the European Space Agency's Gaia spacecraft measured the positions and motions of nearly two billion stars, revealing a disc that is warped, rippling and still settling from ancient collisions.

Did you know? The last time the Sun stood at this point in its orbit, around 230 million years ago, the very first dinosaurs were only just appearing.

From the city the Milky Way has all but vanished; around a third of humanity can no longer see it at all. Find a dark site in late summer, look towards Sagittarius, and you are looking straight at the crowded heart of the galaxy. It is the only galaxy we will ever see from the inside.

The Milky Way: our barred spiral from above and edge-on artist's schematic · not to scale disc c. 100,000 light-years The band across our night sky is this disc, seen from inside. Central bar + Sgr A* bar c. 10,000 ly each side 1 Spiral arms Perseus · Scutum-Centaurus minor: Sagittarius · Norma 2 26,000 ly The Sun · Orion Arm 230 km/s around the centre one lap c. 230 million years 3 Edge-on view c. 1,000 ly thick thin as a record 4 Dark-matter halo c. 150 globular clusters total c. 1 trillion M☉ 5
Fig 41 · The Milky Way. Our galaxy face-on and edge-on: bar, arms, the Sun's place and the dark halo
Chapter 42 · Part V

Galaxy Types

Galaxies come in a handful of shapes, and the shape says a great deal about a galaxy's life. In 1926 Edwin Hubble, sorting photographic plates from the 100-inch telescope on Mount Wilson, proposed a simple scheme. A decade later, in his book The Realm of the Nebulae, he drew it as a tuning fork, and astronomers still use its labels a century on.

On the handle sit the ellipticals, smooth balls of stars graded from E0, perfectly round, to E7, a flattened cigar. They hold little cold gas, make few new stars and glow with the reddish light of old ones. The biggest live in the hearts of galaxy clusters: M87 in the Virgo Cluster holds perhaps a trillion stars and a black hole of 6.5 billion suns. Where the fork divides sit the lenticulars, S0, discs with no visible arms, like the Spindle Galaxy. Then the prongs split into spirals, Sa to Sc, from tightly wound arms around a big bulge to loose arms around a small one, and barred spirals, SBa to SBc, whose arms trail from the ends of a straight bar of stars. The Whirlpool Galaxy, M51, is a classic spiral; NGC 1300 is the textbook barred one; and the Milky Way is a barred spiral too. Anything that fits nowhere is an irregular, such as the Small Magellanic Cloud or the battered starburst galaxy M82.

Hubble called ellipticals "early" and spirals "late" types, and the words stuck, but the tuning fork is not a family tree and galaxies do not march along it. The truth runs closer to the reverse: collisions between spirals can scramble their discs into ellipticals. Colour tells the story. Spirals are blue because their gas still forms hot, short-lived stars; ellipticals are "red and dead" because their gas has been used up, blown out or heated too much to collapse.

Classifying galaxies by eye became a public pastime in 2007, when Chris Lintott and colleagues launched Galaxy Zoo. More than 150,000 volunteers made over 50 million classifications in its first year, and the project turned up new kinds of object along the way. Today machine learning sorts the hundreds of millions of galaxies imaged by Euclid and the Vera C. Rubin Observatory, while the James Webb Space Telescope finds surprisingly orderly discs in the young universe.

Did you know? The faintest known galaxies, ultra-faint dwarfs such as Segue 2, may contain only around a thousand stars, fewer than many star clusters.

Dwarfs are by far the most common galaxies of all, though giants like ours hold most of the stars. The fork's real lesson is that shape records history: a calm spiral has lived quietly, an elliptical bears the scars of mergers. Every galaxy wears its biography on its face.

Hubble's tuning fork: how galaxies are sorted by shape Hubble 1926 · drawn as a fork in 1936 'early' types 'late' types labels, not an evolutionary path The fork is a filing system, not a family tree: mergers often run it backwards. E0 E3 E7 Ellipticals red, old stars · e.g. M87 1 S0 lenticular NGC 5866 2 Sa M104 Sb M81 Sc M51 Spirals blue arms, gas, star birth 3 SBa NGC 4650 SBb Milky Way SBc NGC 1300 Barred spirals arms from a bar of stars 4 Irregulars SMC M82 5
Fig 42 · Galaxy Types. Hubble's tuning fork: ellipticals, lenticulars, normal and barred spirals, irregulars
Chapter 43 · Part V

Andromeda

The Andromeda Galaxy, catalogued as M31, is the most distant thing most people can see with the naked eye. From a dark site it is a faint oval smudge in the constellation Andromeda, and its light has travelled about 2.5 million years to reach you: it left before our own species existed. The Persian astronomer al-Sufi described it as a "small cloud" in his Book of Fixed Stars around 964. Long-exposure photographs show that it stretches about three degrees across the sky, six times the width of the full Moon.

For centuries no one knew what it was. Many astronomers thought spiral "nebulae" were gas clouds within the Milky Way. Then, in October 1923, Edwin Hubble found a Cepheid variable, a star whose pulsing rhythm reveals its true brightness, on a plate taken with the 100-inch Hooker telescope. He crossed out the "N" for nova he had first written beside it and wrote "VAR!". The star's faintness put Andromeda far beyond the Milky Way, and the universe suddenly became a place of countless galaxies.

Andromeda is a big spiral, its bright disc roughly 150,000 light-years across, with a vast halo of faint stars and gas reaching a million light-years or more. It holds around a trillion stars, perhaps several times as many as the Milky Way, yet measurements of the two galaxies' dark matter suggest their total masses are similar, each of order a trillion Suns. In 2015 the Panchromatic Hubble Andromeda Treasury, a mosaic made with the Hubble Space Telescope, resolved more than 100 million of its individual stars. Andromeda has its own court of satellites, including the compact elliptical M32 and M110.

Andromeda is approaching us at about 110 kilometres per second. In 2012 Hubble measured its sideways drift and the answer seemed clear: a head-on collision in about 4.5 billion years. In 2025, however, a team led by Till Sawala combined Hubble and Gaia data with the pull of the Triangulum Galaxy and the Large Magellanic Cloud, and found that the uncertainties are large. Their simulations gave only about a fifty-fifty chance of a merger within the next ten billion years. If it happens, the two spirals will settle into one giant elliptical, already nicknamed "Milkomeda".

Did you know? Even if the two galaxies collide, the stars are so far apart that almost none would ever hit each other; the Sun would most likely just be flung onto a new orbit.

Andromeda is the closest large galaxy we can study from outside, and so the best stand-in for a portrait of our own. Look at it through binoculars on an autumn night and you are seeing, more or less, what aliens there would see when they look at us.

Andromeda vs the Milky Way, as blocks heights to scale within each pair · best estimates Milky Way Andromeda Several times the stars, yet much the same weight: dark matter evens the score. 100 kly 150 kly Disc width 1 c. 250 B c. 1 T Stars 2 c. 1 T M☉ c. 1 T M☉ Total mass 3 2.5 million ly closing at c. 110 km/s Hubble's V1, 1923 4 2% c. 50% Merger odds within 5 · 10 Gyr 5
Fig 43 · Andromeda. Milky Way and Andromeda compared as blocks: width, stars, mass and the odds of a merger
Chapter 44 · Part V

Galaxy Mergers

Galaxies are not islands. Pulled together by gravity, they meet, tear at each other and eventually merge, and over billions of years these mergers have built most of the big galaxies we see. A collision unfolds far too slowly to watch, typically over a billion years or more, so astronomers study it the way a naturalist might study a forest: by photographing many galaxies caught at different stages and putting the snapshots in order.

The first act is a close pass. As two galaxies swing by each other, the near side of each is pulled harder than the far side, and these tidal forces fling out long streamers of stars and gas. In 1972 the brothers Alar and Juri Toomre ran simple computer models and showed that the strange tails and bridges in Halton Arp's 1966 Atlas of Peculiar Galaxies were exactly what gravity predicts. The pair known as the Mice, NGC 4676, show this stage beautifully, each trailing a single long tail.

The second act is fireworks. The stars themselves almost never collide, but the vast clouds of gas do. They crash, compress and collapse, and star formation can surge to ten or even a hundred times its normal rate, a starburst. The Antennae Galaxies, NGC 4038 and NGC 4039, about 45 million light-years away, are the classic example: their cores are still separate, but thousands of new star clusters blaze in the wreckage, each a pocket of hot blue stars. Gas funnelled to the centre also feeds the central black holes, which can switch on as quasars. Then, after further passes, the galaxies coalesce. Their discs are scrambled, the orderly orbits replaced by a swarm, and the remnant often settles into a smooth elliptical galaxy. The two central black holes sink together and, finally, merge in a burst of gravitational waves that the planned space observatory LISA is designed to hear.

Our own galaxy is a serial merger. In 1994 Rodrigo Ibata, Gerry Gilmore and Mike Irwin discovered the Sagittarius Dwarf Galaxy being torn apart on the far side of the Milky Way, its stars strewn in a stream that wraps around the sky. In 2018 Gaia data revealed a far older collision: the Gaia-Enceladus galaxy, swallowed around 8 to 11 billion years ago, whose stars still move on telltale elongated orbits through the halo.

Did you know? JWST's very first images, released in July 2022, included Stephan's Quintet, a group of galaxies in which shock waves from a collision are heating gas to millions of degrees.

Mergers explain why the universe is not full of identical spirals. They light starbursts, feed black holes and reshape galaxies wholesale. Some of the atoms in your body were forged in stars born in galaxies that the Milky Way swallowed long ago. We are made, in part, from wreckage.

A galaxy merger in four acts, over a billion years snapshots of different galaxies · times approximate 0 c. 300 Myr c. 600 Myr c. 1 Gyr+ Stars almost never collide; it is the gas that crashes and lights up. Close approach tides pull 1 Tidal tails fly NGC 4676, the Mice 2 Starburst Antennae, NGC 4038/9 3 One galaxy NGC 7252 4 The Milky Way's own meals Gaia-Enceladus eaten c. 8–11 Gyr ago found by Gaia, 2018 Sagittarius Dwarf being shredded now found 1994 Stellar streams debris of old dwarfs wrap the halo 5
Fig 44 · Galaxy Mergers. How two spirals merge in about a billion years: approach, tails, starburst, one galaxy
Chapter 45 · Part V

Supermassive Black Holes

Almost every large galaxy has a supermassive black hole at its centre, holding from about a million to tens of billions of times the mass of the Sun. Ours, Sagittarius A\*, weighs about 4.3 million Suns; its event horizon is about 25 million kilometres across, small enough to fit inside the orbit of Mercury. The giant in M87, 55 million light-years away, weighs 6.5 billion Suns and has a horizon wider than the orbit of Neptune. The heaviest known, such as the one powering the quasar TON 618, are estimated at tens of billions of solar masses.

How do you weigh something invisible? By watching its neighbours. Radio astronomers Bruce Balick and Robert Brown found the compact radio source at the Milky Way's centre in 1974. From the 1990s, Reinhard Genzel's team at the European Southern Observatory and Andrea Ghez's at the Keck telescopes tracked stars circling it. The star S2 sweeps round every 16 years at up to 7,650 kilometres per second, which only works if four million solar masses are packed into a region smaller than the Solar System. Genzel and Ghez shared the 2020 Nobel Prize in Physics.

The most direct evidence is a picture. The Event Horizon Telescope links radio dishes from Hawaii to the South Pole, observing at a wavelength of 1.3 millimetres and timing the signals with atomic clocks so that the network acts as a single dish the size of the Earth. Its first campaign, in April 2017, gathered several petabytes of data, too much for the internet, so the hard drives were flown to processing centres. In April 2019 the collaboration revealed a glowing ring around the dark shadow of M87's black hole, and in May 2022 a similar ring around Sagittarius A*, about the size, as seen from Earth, of a doughnut on the Moon.

The puzzle is how such monsters grow. In 2000 two teams found that a black hole's mass tracks the speed of the stars in its galaxy's central bulge: black holes seem to weigh about a few tenths of a per cent as much as their bulges, as if galaxy and black hole grow together. Energy blasted out by a feeding black hole can heat or expel gas and stop star formation, a process called feedback. Yet the James Webb Space Telescope keeps finding black holes of millions of solar masses less than 500 million years after the Big Bang, which is uncomfortably early.

Did you know? The black hole in M87 is so large that light would take more than a day to cross its event horizon.

Our black hole is quiet now, sipping rather than gorging, though it flares in X-rays almost daily. The giant Fermi bubbles above and below the galactic plane suggest it was far busier a few million years ago. Even the calm heart of our galaxy has a temper.

The Event Horizon Telescope: one dish the size of Earth Event Horizon Telescope orchestrator · 1.3 mm · atomic clocks April 2017 campaign petabytes of data, flown on hard drives to two correlators Linked across a planet, the dishes see a doughnut on the Moon. Hawaii SMA Submm Array Maunakea JCMT 15 m dish Maunakea 1 N America SMT 10 m · Arizona Mt Graham LMT 50 m · Mexico on a volcano 2 Chile ALMA phased array Chajnantor APEX 12 m dish Chajnantor 3 Outposts IRAM 30 m Spain + NOEMA, France SPT South Pole + Greenland 4 Results M87* image 2019 6.5 bn M☉ Sgr A* image 2022 4.3 M M☉ 5
Fig 45 · Supermassive Black Holes. The Event Horizon Telescope: an Earth-sized team of dishes that imaged two black holes
Chapter 46 · Part V

Quasars

A quasar is a supermassive black hole caught in the act of feeding. Gas spiralling inwards forms a flat accretion disc, heated by friction to tens or hundreds of thousands of degrees, and it shines so brightly that a single quasar can outshine all the hundreds of billions of stars in its host galaxy by a factor of a hundred or more. Infalling matter can turn around a tenth of its mass into energy, more than ten times the efficiency of the nuclear fusion that powers the Sun.

Quasars were a mystery for years. In the late 1950s radio surveys at Cambridge found sources that looked, in visible light, like faint blue stars, hence the name, short for quasi-stellar radio source. In 1962 Cyril Hazard and colleagues used the Parkes radio dish in Australia to time the Moon passing in front of the source 3C 273, pinning down its position. In 1963 Maarten Schmidt took its spectrum with the 200-inch Hale telescope at Palomar and realised the strange lines were ordinary hydrogen lines, redshifted by 16 per cent. That put 3C 273 about 2.4 billion light-years away, so it had to be around four trillion times as luminous as the Sun.

What astonished astronomers was the size of the engine. Many quasars flicker over days or weeks, and nothing can vary faster than light can cross it, so the glowing region must be no bigger than the Solar System. The unified model explains much of the variety. Around the disc lies a doughnut of dust, the torus, and from the poles twin jets of particles can blast out at nearly the speed of light, sometimes for hundreds of thousands of light-years. Look straight down a jet and you see a dazzling, flickering blazar; look through the torus and the core is hidden, leaving only a radio galaxy or an obscured active nucleus. Carl Seyfert had catalogued milder versions in nearby spiral galaxies as early as 1943.

Quasars are fossils of a hungrier universe. Their numbers peaked about ten billion years ago, when galaxies were rich in gas and collided often; today most supermassive black holes, including our own, are quiet. The most distant known quasars shine from less than 700 million years after the Big Bang, already powered by black holes of a billion Suns. Surveys such as the Sloan Digital Sky Survey have now catalogued close to a million quasars.

Did you know? Because quasars are so distant that they barely move across the sky, they serve as the fixed points of the International Celestial Reference Frame, the grid against which star positions are measured.

Quasars are also cosmic flashlights. Their light passes through intervening gas clouds on its way to us, and each cloud leaves its fingerprint in the spectrum, mapping matter we could never otherwise see. The brightest objects in the universe help us chart its darkest corners.

Inside a quasar: one engine, many faces cross-section through an active nucleus · not to scale Example: 3C 273 z = 0.158 · c. 2.4 bn ly Schmidt, Palomar, 1963 c. 4 trillion Suns flickers over days Smaller than the Solar System, brighter than a hundred galaxies. Black hole 1 M to 10 bn Suns 1 Accretion disc Solar System-sized tens of 1,000s °C 2 Dusty torus hides the core side-on 3 Relativistic jets near light speed up to 100,000s ly 4 Blazar down the jet Quasar at a slant Radio galaxy side-on 5
Fig 46 · Quasars. Inside a quasar: black hole, accretion disc, dusty torus, jets and why the view changes
Chapter 47 · Part V

Dark Matter's Grip

If you whirl a ball on a string, the faster it goes, the harder the string must pull. Stars orbiting a galaxy work the same way, with gravity as the string. Most of a spiral galaxy's light comes from its crowded centre, so astronomers expected stars in the outer disc to orbit slowly, as the outer planets do around the Sun: Neptune creeps along at about 5 kilometres per second, Mercury races at 48. Measure the speeds across a galaxy and plot them against distance, and you have its rotation curve. The prediction was a curve that rises and then falls away.

It does not fall. In the 1970s Vera Rubin and Kent Ford, at the Carnegie Institution in Washington, used a sensitive new image-tube spectrograph built by Ford to measure the Doppler shifts of glowing gas across the Andromeda Galaxy, and then across dozens of other spirals. The speeds stayed stubbornly high all the way to the edges. At the same time, radio astronomers including Morton Roberts and Albert Bosma traced the 21-centimetre glow of hydrogen far beyond the visible discs and found the same: the curves stay flat. Something unseen must be pulling, and there must be far more of it than of stars.

The idea was not new. In 1933 the Swiss astronomer Fritz Zwicky measured the speeds of galaxies in the Coma Cluster and found them moving so fast that the cluster should fly apart unless it held hundreds of times more mass than its light suggested. He called the missing material dunkle Materie, dark matter. For forty years few took it seriously. Rubin's flat curves changed that, and every independent test since has agreed: the bending of light around galaxy clusters, the pattern of ripples in the cosmic microwave background measured by the Planck satellite, and simulations that can only build galaxies in time if dark matter is there.

Put together, the evidence says that dark matter outweighs ordinary matter by about five to one. It does not emit, absorb or reflect light and barely interacts at all except through gravity. Each galaxy sits inside a huge, roughly spherical halo of it extending far beyond the stars; the Milky Way's reaches out hundreds of thousands of light-years. A minority of physicists argue that gravity itself needs modifying instead, an idea called MOND proposed by Mordehai Milgrom in 1983, but it struggles to explain clusters and the cosmic microwave background.

Did you know? Standard estimates of the dark matter density near the Sun mean a volume the size of the Earth would hold only around a kilogram of it.

What dark matter actually is remains unknown. In 2025 the observatory named after Vera Rubin opened its eyes in Chile, ready to map dark matter's grip across billions of galaxies. Most of the matter in the universe is something we have never touched.

Rotation curves: what we expected, what we found orbital speed against distance · typical spiral like ours 100 200 300 0 25 50 75 100 distance from centre · thousand ly km/s Stars at the edge move too fast: something unseen is holding on. Predicted: stars only edges should slow 1 Sun · 230 Observed: flat 2 missing mass 3 Dark halo c. 5 × ordinary matter 4 Zwicky, 1933 Coma Cluster galaxies too fast to stay bound 'dunkle Materie' 5
Fig 47 · Dark Matter's Grip. Rotation curves: stars alone predict falling speeds, but observed speeds stay flat
Chapter 48 · Part V

Galaxy Clusters

Galaxies gather in groups, and the biggest gatherings are galaxy clusters: hundreds to thousands of galaxies, packed into a region a few million to ten million light-years across and bound by their own gravity. A rich cluster weighs up to about a thousand trillion Suns. Clusters are the largest objects in the universe that have pulled together and settled, rather than still drifting apart with cosmic expansion.

The nearest big one is the Virgo Cluster, about 54 million light-years away, with well over a thousand member galaxies. At its heart sits the giant elliptical M87, whose black hole the Event Horizon Telescope imaged in 2019. Farther off, about 320 million light-years away, lies the Coma Cluster, with more than a thousand bright galaxies, where Fritz Zwicky first found the signature of dark matter in 1933. In 1958 George Abell catalogued 2,712 rich clusters from the photographic plates of the Palomar Sky Survey, and Abell numbers are still in daily use.

The galaxies are the least of it. In the 1970s the Uhuru X-ray satellite discovered that clusters glow in X-rays, because the space between the galaxies is filled with thin gas at 10 to 100 million degrees. This intracluster medium holds several times more mass than all the stars combined. Most of the mass, roughly 85 per cent, is dark matter, which is why the galaxies move so fast without escaping. The breakdown is remarkably consistent: a few per cent stars, around an eighth hot gas, the rest invisible.

A cluster's gravity is strong enough to bend light. Galaxies behind a cluster appear stretched into arcs and multiple images, an effect called gravitational lensing that lets astronomers weigh the cluster and also magnify the faint galaxies behind it. The first JWST deep field, released in July 2022, looked through the cluster SMACS 0723 to galaxies more than 13 billion light-years away. The most famous case is the Bullet Cluster, two clusters that collided about 150 million years ago. In 2006 Douglas Clowe and colleagues showed with Chandra X-ray images and lensing maps that the hot gas had been slowed in the crash, while most of the mass, the dark matter, had passed straight through: a direct sign that dark matter is real stuff, not a quirk of gravity.

Did you know? In 2003 the Chandra X-ray Observatory found sound waves rippling through the gas of the Perseus Cluster: a B flat 57 octaves below middle C, the deepest note known in the universe.

Counting clusters of different masses at different epochs is one of the sharpest tests of dark energy, and surveys from eROSITA, Euclid and Rubin are now counting hundreds of thousands. Clusters are the cosmos's great cities, and like real cities their character lies mostly in what lies between the buildings.

What a galaxy cluster weighs, layer by layer mass budget as stacked blocks · heights to scale e.g. Virgo 54 Mly · Coma 320 Mly The galaxies are the least of it: a cluster is mostly dark matter. Dark matter c. 85% of the mass 1 Hot X-ray gas c. 12% · 10–100 M °C 2 Galaxies stars c. 3% 3 Lensing arcs SMACS 0723 · JWST 4 Bullet Cluster gas lags (grey) mass passes (blue) 5
Fig 48 · Galaxy Clusters. What a galaxy cluster is made of: a little starlight, more hot gas, mostly dark matter
Chapter 49 · Part V

The Local Group

The Milky Way does not travel alone. It belongs to the Local Group, a family of galaxies about 10 million light-years across, a name Edwin Hubble coined in 1936. Two giant spirals dominate it, the Milky Way and Andromeda, about 2.5 million light-years apart, and between them they hold most of the group's stars and its total mass of a few trillion Suns. Everything else orbits one of the two, or the gap between them.

The third-largest member is the Triangulum Galaxy, M33, a loose spiral about 2.7 million light-years away with perhaps 40 billion stars. Sharp-eyed observers can just glimpse it without a telescope from a truly dark site. It may be a satellite of Andromeda, or on its first fall towards it. Then come the Large and Small Magellanic Clouds, about 160,000 and 200,000 light-years away, bright enough to be seen with the naked eye from the Southern Hemisphere. They were known to peoples of the southern skies long before Ferdinand Magellan's fleet reported them during its voyage of 1519 to 1522, and al-Sufi mentioned the larger one around 964. The Large Cloud alone weighs perhaps a tenth as much as the Milky Way, enough to tug our galaxy's disc.

Most members are dwarf galaxies, faint swarms of a few thousand to a few billion stars. Andromeda keeps M32 and M110 close by; the Milky Way has dozens, including the Sagittarius Dwarf, being torn apart on the far side of the galactic centre, and the faint Fornax and Sculptor dwarfs. Many were found only recently. Since 2005 the Sloan Digital Sky Survey and the Dark Energy Survey have turned up dozens of ultra-faint dwarfs, and in 2018 Gaia revealed Antlia 2, a ghostly satellite as wide as the Large Magellanic Cloud but thousands of times fainter. The census now stands at more than a hundred known or candidate members, and the Vera C. Rubin Observatory is expected to add many more.

How do we know the group is bound? Nearly every other galaxy in the universe is rushing away from us as space expands, but within the Local Group the pull of gravity wins. Andromeda is approaching rather than receding, and measurements of galaxies near the group's edge mark a boundary, about 3 million light-years from its centre, inside which galaxies fall back rather than flowing away. The group itself sits on the outskirts of the Virgo Supercluster, part of a larger flow called Laniakea.

Did you know? Dark-matter simulations predicted far more satellite galaxies around the Milky Way than were known, a puzzle called the missing satellites problem; the steady discovery of ultra-faint dwarfs has since closed much of the gap.

Cosmic expansion will one day carry every other galaxy beyond our sight, but the Local Group will stay together. Far in the future, astronomers here may see only one merged galaxy and its dwarfs, and wonder whether anything else exists. The neighbourhood is home, for good.

The Local Group: two giants and their courts schematic map · positions not to scale 2.5 million ly A family gravity will never let go. Milky Way LMC 160,000 ly SMC 200,000 ly Sgr dwarf 1 Andromeda M31 M32 M110 2 Triangulum M33 c. 40 bn stars 3 Fornax Sculptor Antlia 2 Leo T 100+ dwarf galaxies many found since 2005 4 bound edge c. 3 Mly beyond: Virgo Supercluster 5
Fig 49 · The Local Group. Our neighbourhood not to scale: two giants, Triangulum and a swarm of dwarf galaxies
Chapter 50 · Part V

The Cosmic Web

On the largest scales, galaxies are not sprinkled evenly through space. They are strung along vast filaments, gathered into sheets called walls and knotted together where filaments meet in dense clusters, the nodes. Between them lie voids, bubbles of near-emptiness up to hundreds of millions of light-years across. The whole pattern is called the cosmic web, and it is the largest structure in nature, a foam on a scale where even galaxy clusters are mere dots.

The web was mapped one slice at a time. In 1981 Robert Kirshner and colleagues found the Boötes Void, a hole more than 250 million light-years wide containing only a handful of galaxies. In 1986 Valérie de Lapparent, Margaret Geller and John Huchra at the Harvard-Smithsonian Center for Astrophysics plotted the redshifts of about 1,100 galaxies in a thin wedge of sky. The result looked like a slice through soap suds, with galaxies lining the walls of bubbles, and a stick-figure shape in the middle that became known as the "stickman". In 1989 the same team found the Great Wall, a sheet of galaxies about 500 million light-years long. Bigger surveys followed: the Anglo-Australian 2dF survey measured some 220,000 galaxies, and in 2003 J. Richard Gott and colleagues found the Sloan Great Wall, about 1.4 billion light-years long, in Sloan Digital Sky Survey data.

The web grows from almost nothing. The cosmic microwave background shows that the early universe was smooth to about one part in 100,000. Slightly denser regions pulled in more matter, mostly dark matter, which collapsed first into sheets and filaments and then into knots, while emptier regions emptied further. Ordinary gas followed, falling along the filaments into the clusters where galaxies grow. In 2005 the Millennium Simulation, run by Volker Springel and colleagues with ten billion particles, reproduced the web in startling detail from known physics, and the term itself had been coined by Richard Bond, Lev Kofman and Dmitri Pogosyan in 1996.

The filaments themselves are hard to see, since most of their gas is thin and hot. In 2019 astronomers using the MUSE instrument on the Very Large Telescope caught filament gas glowing faintly in the early universe, and X-ray surveys have detected warm gas bridging nearby clusters. In 2014 Brent Tully and colleagues traced the motions of galaxies to map Laniakea, the supercluster containing the Milky Way, about 520 million light-years across. Today ESA's Euclid, launched in 2023, and the DESI survey in Arizona are charting the web across billions of light-years in three dimensions.

Did you know? In 2020 an astrophysicist, Franco Vazza, and a neurosurgeon, Alberto Feletti, compared the cosmic web with the network of neurons in the brain and found their statistical structure strikingly similar.

The Milky Way sits in a modest filament near the edge of a void. Every galaxy you could ever see is a bead on these threads, spun by gravity from ripples present in the first moments. We live on a thread in a web of light.

How we mapped the cosmic web, 1981 to today galaxy redshift surveys and simulations node filament From a single slice of sky to the whole web: gravity's foam, mapped. void 1981 Boötes Void 250+ Mly wide 1 1986 CfA slice 1,100 galaxies 2 wall 1989 CfA Great Wall 500 Mly long 2003 Sloan Great Wall c. 1.4 bn ly 3 2005 Millennium Sim 10 bn particles 4 Milky Way 2014 Laniakea 520 Mly across 2023 Euclid launch ESA, 3D map 5
Fig 50 · The Cosmic Web. Mapping the cosmic web: the surveys and simulations that revealed filaments and voids
Part VI

Cosmology

The Big Bang, dark energy and the fate of it all.

Chapter 51 · Part VI

The Big Bang

The Big Bang was not an explosion in space but the beginning of an expansion of space itself. Around 13.8 billion years ago everything in today's observable universe was packed into a state hotter and denser than anything since, and it has been expanding and cooling ever after. It happened everywhere at once. There is no centre to point to and no edge to stand on: every galaxy sees the others rushing away, as every raisin in a rising loaf sees its neighbours recede.

Run the film forwards and the physics is surprisingly well understood. One second in, the universe was about 10 billion degrees, a soup of protons, neutrons, electrons, neutrinos and light. Within the first few minutes protons and neutrons fused into nuclei, leaving matter about 75 per cent hydrogen and 25 per cent helium by mass, with a whiff of lithium. For the next 380,000 years the cosmos was an opaque, glowing fog; then, at about 3,000 degrees, electrons settled into atoms and light streamed free. Gravity took over, gathering gas into the first stars a hundred million years or so later, and then into galaxies, ours among them.

The idea grew out of Einstein's general relativity. Alexander Friedmann found expanding solutions to its equations in 1922, and Georges Lemaître, a Belgian priest and physicist, argued in 1927 and 1931 that the universe had grown from a "primeval atom". Edwin Hubble's 1929 measurements of receding galaxies gave it evidence. The name came from its sharpest critic: Fred Hoyle, champion of a rival steady-state universe, used the phrase "Big Bang" on BBC radio in 1949, and it stuck.

Three pillars of evidence hold it up. Galaxies recede at speeds in proportion to their distance. A faint microwave glow, predicted by Ralph Alpher and Robert Herman in 1948 and found by accident in 1965, fills the sky at 2.7 kelvin. And the amounts of hydrogen, helium and deuterium measured in the most pristine gas clouds match the recipe calculated for those first minutes. In 2018 the European Space Agency's Planck satellite fixed the age at 13.79 billion years, give or take about 20 million.

Did you know? Around 1 per cent of the snowy static on an old analogue television tuned between channels was the afterglow of the Big Bang.

What the theory does not describe is a cause, or a "before". It explains what happened from a tiny fraction of a second onwards; earlier than about 10⁻⁴³ seconds, the Planck time, known physics stops working and nobody yet knows what replaces it. It is also not a theory of a bang at a place, a myth kept alive by fireball illustrations. Most of the hydrogen in a glass of water was made in the universe's first second, so you have been carrying the Big Bang around all along.

The Big Bang: 13.8 billion years on one stretched clock two logarithmic scales · each tick ×10¹⁰ s, then ×10³ yr 10⁻⁴⁰ s 10⁻³⁰ s 10⁻²⁰ s 10⁻¹⁰ s 1 s 1 yr 10³ yr 10⁶ yr 10⁹ yr temperature Everywhere at once a stretching of all space, not a blast into it Not a bang at a place, but a stretching of every place at once. A hot, dense start Planck era < 10⁻⁴³ s inflation 10⁻³⁶–10⁻³² 10³² K 1 Nuclei in minutes 1 s · 10 billion K 20 min: 75% H, 25% He 10¹⁰ K 2 Atoms, first light 380,000 yr · 3,000 K the fog clears 3,000 K 3 First stars c. 100 million yr JWST: < 300 Myr 4 Today 13.79 billion yr Planck 2018 2.7 K 5
Fig 51 · The Big Bang. From the first instant to today: 13.8 billion years on a stretched, logarithmic clock
Chapter 52 · Part VI

The Cosmic Afterglow

The cosmic microwave background, or CMB, is the oldest light there is. It set out about 380,000 years after the Big Bang, when the universe had cooled to around 3,000 degrees, cool enough for electrons and protons to combine into hydrogen atoms. Until then light had pinballed between free electrons like headlights in fog; afterwards it flew straight. That moment, the surface of last scattering, surrounds us in every direction, and its light has been travelling towards us ever since.

Expansion has stretched that light by a factor of about 1,100, from a dull orange glow to microwaves. Today it is a near-perfect blackbody, the spectrum of a body at a single temperature, of 2.7255 kelvin, peaking at a wavelength of about a millimetre. Every cubic centimetre of space, including the one in front of your nose, holds about 400 of its photons.

Ralph Alpher and Robert Herman predicted a relic glow of a few kelvin in 1948, but the prediction was largely forgotten. In 1964 Arno Penzias and Robert Wilson at Bell Labs in Holmdel, New Jersey, were preparing a 6-metre horn antenna for radio astronomy and found a stubborn hiss of about 3.5 kelvin coming from every direction, day and night. They evicted a pair of nesting pigeons and scrubbed out what they politely called white dielectric material; the noise stayed. About 50 kilometres away at Princeton, Robert Dicke's group was building an instrument to look for exactly this signal. On hearing the news, Dicke is said to have told his colleagues, "Boys, we've been scooped." Penzias and Wilson shared the 1978 Nobel Prize.

Space missions turned the hiss into a portrait. NASA's COBE showed in 1990 that its spectrum is the most perfect blackbody ever measured, and in 1992 found ripples in temperature of about one part in 100,000, earning John Mather and George Smoot the 2006 Nobel Prize. NASA's WMAP (2001 to 2010) and ESA's Planck (2009 to 2013) mapped those ripples in fine detail. They are frozen sound waves from the early plasma: the most common spots span about one degree, twice the width of the full Moon, which shows that space is geometrically flat and fixes the recipe of about 5 per cent atoms, 27 per cent dark matter and 68 per cent dark energy.

Did you know? The sky is slightly warmer in one direction, by about three thousandths of a degree, because the Sun and Earth are moving at around 370 kilometres per second relative to the afterglow.

The ripples are the seeds of everything that followed: slightly denser patches grew, under gravity, into the galaxy clusters and filaments of the cosmic web. Ground telescopes such as the Atacama Cosmology Telescope and the South Pole Telescope now read finer detail and the light's faint polarisation. Every direction you look ends, eventually, at this wall of light, and beyond it the young universe is hidden in its own glowing fog.

The cosmic afterglow: how the oldest light was found and read Holmdel 1964 · COBE 1989 · WMAP 2001 · Planck 2009 whole sky · Mollweide view Ripples of one part in 100,000: the seeds of every galaxy. Holmdel horn, Bell Labs Penzias and Wilson 1964 7.35 cm · hiss of 3.5 K 1 Perfect blackbody T = 2.7255 K COBE FIRAS 1990 0 600 GHz peak 160 GHz 2 COBE 1989–93 ripples 1992 WMAP 2001–10 0.2° detail Planck 2009–13 5′ detail ΔT/T ≈ 1/100,000 3 plasma fog Last scattering 380,000 yr · 3,000 K ×1,100 now: microwaves 4
Fig 52 · The Cosmic Afterglow. The oldest light: found by a horn antenna, measured by COBE, mapped by WMAP and Planck
Chapter 53 · Part VI

The Expanding Universe

The expanding universe is the discovery that the distances between galaxies are growing, not because galaxies fly apart through space but because the space between them stretches. Picture galaxies as dots inked on a rubber sheet that is being pulled evenly at every edge. Every dot sees every other dot moving away, and a dot twice as far off retreats twice as fast. That simple proportion is Hubble's law: recession speed equals distance multiplied by the Hubble constant, around 70 kilometres per second for every megaparsec, a distance of about 3.26 million light-years.

The evidence came in pieces. From 1912 Vesto Slipher at Lowell Observatory in Arizona measured the spectra of spiral nebulae and found most of them shifted to the red, some receding at more than 1,000 kilometres per second. In 1927 Georges Lemaître combined such speeds with rough distances and showed that Einstein's equations predicted exactly this kind of expansion. In 1929 Edwin Hubble, working with Milton Humason at the 100-inch Hooker telescope on Mount Wilson, published the speed-distance relation that made it famous. In 2018 the International Astronomical Union recommended calling it the Hubble–Lemaître law. Hubble's own value was about 500, seven times too high, because his distances were badly underestimated.

The modern rate sounds slow. A distance of one megaparsec grows by about 70 kilometres every second, but that is only about one part in 14 billion each year. It does not stretch you, your house, the Earth or the Milky Way, because gravity and the forces between atoms hold bound objects together; expansion only shows in the gaps between groups and clusters of galaxies. Close to home, gravity wins outright: the Andromeda Galaxy is approaching us at about 110 kilometres per second.

At about 14 billion light-years, the Hubble distance, the recession speed passes the speed of light. Relativity is not broken, because nothing is moving through space faster than light; space itself is growing, and relativity puts no limit on that. Run the expansion backwards and every distance shrinks towards zero about 13.8 billion years ago, which is the Big Bang seen from the other end.

Did you know? The most distant matter we can see is now about 46 billion light-years away, even though the universe is only 13.8 billion years old, because space kept stretching while its light was on the way.

Measuring the exact rate is still a live fight. The Hubble Space Telescope and JWST, using Cepheid stars and supernovae, find about 73; the cosmic microwave background, read by Planck, implies about 67. Whoever proves right, the picture is the same. The galaxies are not fleeing from us; everyone is sitting still in a universe that keeps making more room.

The expanding universe: the grid of space doubles in size isometric sketch · galaxies pinned to a stretching grid THEN LATER Rewind the film all distances → 0 · 13.8 billion yr ago Galaxies are not fleeing us: space keeps making more room. Space as a grid galaxies sit at grid points they barely move through it 1 ×2 later every gap doubles 2 +1 step +3 steps Farther means faster v = H₀ × d H₀ ≈ 70 km/s per Mpc 3 Bound things hold Milky Way 100,000 ly, always Andromeda nears at 110 km/s 4 Hubble distance The Hubble distance c. 14 billion ly · beyond it, faster than light 5
Fig 53 · The Expanding Universe. Space stretches, galaxies ride along: double the distance, double the recession speed
Chapter 54 · Part VI

Redshift

Redshift is the stretching of light to longer, redder wavelengths. Astronomers write it as z: the amount by which a wavelength has grown, divided by its original length. A galaxy at z = 0.1 has light stretched by 10 per cent; at z = 1 every wavelength has doubled; at z = 3 it has quadrupled. "Red" is shorthand. Ultraviolet light can be shifted into the visible, and visible light into the infrared, which is why the deepest views of the universe are infrared ones.

There are three causes. Motion through space produces a Doppler shift, the effect that drops the pitch of a passing siren. Gravity reddens light that climbs out of a gravity well, an effect Robert Pound and Glen Rebka measured in 1959 by firing gamma rays up a 22.5-metre tower at Harvard. For distant galaxies the dominant cause is cosmological redshift: the light's waves are stretched along with the space they travel through. So z is also a record of history. Light from a galaxy at z = 1 set out when every cosmic distance was half of today's, about 8 billion years ago.

The tool that makes this work is the spectral line. In 1814 Joseph von Fraunhofer catalogued hundreds of dark lines in sunlight, which turned out to be fingerprints of particular elements; hydrogen's red line always sits at 656.3 nanometres in the laboratory. Christian Doppler predicted in 1842 that motion would shift such frequencies, and in 1868 William Huggins used the shift of lines in the spectrum of Sirius to estimate its motion. In 1912 Vesto Slipher measured the first galaxy speed, and it was a blueshift: the Andromeda Galaxy approaches the Sun at about 300 kilometres per second, much of that our own orbit around the Milky Way.

Today redshifts come by the million. The Dark Energy Spectroscopic Instrument on Kitt Peak, Arizona, takes 5,000 spectra at a time with robotic optical fibres, and imaging surveys estimate rougher photometric redshifts from galaxies' colours. In 2024 JWST's NIRSpec spectrograph confirmed the galaxy JADES-GS-z14-0 at a redshift of about 14.2: its ultraviolet light, emitted at 0.12 micrometres, now arrives as infrared at about 1.8 micrometres. The cosmic microwave background itself sits at z of about 1,100.

Did you know? A galaxy at z = 14 is seen as it was less than 300 million years after the Big Bang, when the universe was about 2 per cent of its present age.

A common picture treats redshift as galaxies racing away like ambulances. That is right for nearby stars and galaxies, but beyond a few hundred million light-years the shift is mostly space itself stretching, and the light arrives with less energy than it set out with. Every galaxy's colour carries a date stamp, and a spectrograph is the instrument that reads it.

Redshift: the same hydrogen fingerprint, stretched wavelength on a log scale · 100 to 2,000 nanometres visible 100 nm 200 nm 500 nm 1,000 nm 2,000 nm A speedometer and a clock in one number. Laboratory z = 0 Ly-α 122 Hβ Hα 656 1 Andromeda −300 km/s 0.1% blueward 2 Galaxy, z = 1 λ × 2 Hβ → 972 8 Gyr ago 3 JADES-GS-z14-0 z ≈ 14.2 Ly-α at 1.8 µm · JWST 4 Lookback time light travel z = 0.1 1.3 Gyr z = 1 7.9 Gyr z = 3 11.6 Gyr z = 14 13.5 Gyr z = 1,100 13.8 · CMB 5
Fig 54 · Redshift. Hydrogen's fingerprint, shifted: from Andromeda's blueshift to a galaxy at z = 14
Chapter 55 · Part VI

Dark Energy

Dark energy is the name for whatever is making the expansion of the universe speed up. The gravity of matter should slow expansion, as Earth's gravity slows a ball thrown upwards; in 1998 astronomers found the ball accelerating. In the cosmic inventory, dark energy makes up about 68 per cent of everything, dark matter about 27 per cent, and ordinary atoms, every star, planet and gas cloud ever seen, just under 5 per cent.

The discovery came from exploding stars. A Type Ia supernova, the blast of a white dwarf, reaches a nearly standard peak brightness, so its apparent faintness reveals its distance across billions of light-years. Two rival teams raced to compare those distances with redshifts: the Supernova Cosmology Project led by Saul Perlmutter at Berkeley, and the High-z Supernova Search Team led by Brian Schmidt, with Adam Riess. Both found the distant supernovae about 25 per cent fainter than a slowing universe allowed: farther away, so expansion must have sped up. The three leaders shared the 2011 Nobel Prize in Physics.

Independent evidence soon piled up. The microwave background, measured by WMAP and Planck, shows space is flat, which needs far more energy than matter supplies. Baryon acoustic oscillations, a slight excess of galaxy pairs about 500 million light-years apart left by sound waves in the young universe, act as a cosmic ruler; the Sloan Digital Sky Survey and the 2dF survey first detected it in 2005. Together they show that the acceleration began roughly 5 to 6 billion years ago, when matter had thinned out enough for the push to win.

What it is remains unknown. The simplest candidate is Einstein's cosmological constant, which he added to his equations in 1917 to hold the universe still and later dropped; the story that he called it his "biggest blunder" comes second-hand from George Gamow, and historians doubt it. A constant energy of empty space, equivalent to the mass of a few hydrogen atoms per cubic metre, does not dilute as space grows, so its share rises. Quantum theory predicts a vacuum energy up to 10¹²⁰ times larger, often called the worst prediction in physics. The alternative is a changing field, nicknamed quintessence. In 2024 and 2025 results from DESI hinted that dark energy may be weakening over time; the signal is intriguing but not yet at the level physicists accept as a discovery.

Did you know? All the dark energy inside a volume the size of the Earth adds up to the energy equivalent of about 6 milligrams of mass, less than a housefly weighs.

ESA's Euclid, the Rubin Observatory and NASA's planned Roman Space Telescope will measure the expansion history in finer detail than ever. Whatever they find will rewrite physics, and settle how the universe ends. For now, most of the universe is something we can measure precisely and cannot name.

Dark energy: who found it, and who is hunting it now Dark energy · c. 68% of all orchestrator · what speeds expansion? The cosmic budget Planck 2018 values dark energy 68% dark matter 27% atoms c. 5% Two-thirds of the universe, measured to a per cent and still unnamed. Supernovae SCP team S. Perlmutter Berkeley · 1998 High-z Team Schmidt, Riess Nobel 2011 1 Microwave sky WMAP NASA · 2001–10 flat space Planck ESA · 2009–13 68% measured 2 Galaxy maps SDSS · BOSS BAO ruler 2005 Apache Point DESI Kitt Peak 2021– 5,000 fibres 3 Lensing DES Chile · 2013–19 Blanco 4 m Euclid ESA · L2 · 2023 1.5 bn shapes 4 Theory Einstein's Λ 1917 constant w = −1 Quintessence evolving field DESI hint 2025 5
Fig 55 · Dark Energy. Who found the accelerating universe, and the instruments now hunting what drives it
Chapter 56 · Part VI

Inflation

Inflation is the leading idea for what happened in the universe's first instant: a burst of runaway expansion that doubled the size of space again and again, at least 85 times, ending around 10⁻³² seconds after it began. A region smaller than a proton swelled by a factor of at least 10²⁶. On that scale a bacterium would grow to around 10,000 light-years across. This was far faster than light, which is allowed, because nothing moved through space; space itself grew.

It was invented to fix three puzzles. The horizon problem: opposite sides of the microwave sky have the same temperature to one part in 100,000, yet in an ordinary Big Bang they could never have been in contact to even out. The flatness problem: the geometry of space is balanced on a knife-edge between open and closed, which needs absurd fine-tuning at the start. And the missing magnetic monopoles that theories of particle physics predicted in abundance. Alan Guth, then a young physicist at SLAC in California, saw in 1979 that a brief exponential expansion would solve all three: a tiny patch evens out, then gets stretched so flat and so large that its edges and any monopoles lie far beyond view. Alexei Starobinsky had proposed a related model in Moscow, and in 1982 Andrei Linde, and independently Andreas Albrecht and Paul Steinhardt, fixed a flaw in how inflation ends.

The engine is usually pictured as a field, the inflaton, stuck in a high-energy state that behaves like an extreme version of dark energy. When it decays, its energy pours into particles and heats the universe: the hot Big Bang begins. Quantum jitters in the field, stretched to cosmic size, become slight differences in density, and gravity later turns those into galaxies.

The theory made predictions that have passed. Space should be flat, and Planck finds it flat to within about 0.2 per cent. The ripples in the microwave background should be random and nearly equal in strength on all scales but slightly stronger on large ones; WMAP and Planck measured exactly that tilt, a spectral index of about 0.965. The missing test is a background of primordial gravitational waves, which would leave a swirling B-mode pattern in the light's polarisation. In March 2014 the BICEP2 team at the South Pole announced it had been seen; within a year, joint work with Planck showed that dust in our own galaxy could explain the signal.

Did you know? If inflation is right, the largest structures in the universe, from galaxy clusters to the cosmic web, began as quantum fluctuations smaller than an atomic nucleus.

The Simons Observatory in Chile and Japan's planned LiteBIRD satellite will push the search further. Critics, now including Steinhardt, argue that inflation is flexible enough to fit almost any result and that it implies an untestable multiverse. Inflation remains the best account of the first instant, but the universe has not yet signed the confession.

Inflation: three puzzles, one growth spurt, four tests the first 10⁻³² seconds · Guth 1979–81, Linde, Starobinsky The best story for the first instant, still awaiting its signature. Horizon problem same T to 1 in 100,000 Flatness problem Ω ≈ 1, finely tuned Missing monopoles predicted, never seen ORDINARY BIG BANG CANNOT EXPLAIN 1 Inflation 10⁻³⁶ → 10⁻³² s ≥ 85 doublings size × 10²⁶ Scale of the stretch 1 µm bacterium → c. 10,000 light-years 2 Jitters become seeds → CMB 3 Flat space ✓ Planck: within 0.2% Tilted ripples ✓ spectral index 0.965 Random seeds ✓ Gaussian, as predicted TESTS PASSED 4 B-modes: not yet BICEP2 2014 → dust r < 0.036 · LiteBIRD 5
Fig 56 · Inflation. Three puzzles, one growth spurt, four tests: how inflation explains the smooth, flat sky
Chapter 57 · Part VI

Making the Elements

Every atom has a birthplace. The Big Bang made almost nothing but hydrogen and helium; nearly everything else in the periodic table, from the carbon in your cells to the gold in a wedding ring, was forged later in stars and stellar catastrophes, then scattered into space to be built into new stars, planets and people. This is nucleosynthesis, and read the right way the periodic table is a map of cosmic events.

The first forge ran for about 20 minutes. Between roughly ten seconds and twenty minutes after the Big Bang the whole universe was a fusion reactor cooling fast, and it left matter about 75 per cent hydrogen and 25 per cent helium by mass, with traces of deuterium and lithium. Ralph Alpher and George Gamow published the first calculations in 1948, adding Hans Bethe's name for the pun of "alpha, beta, gamma". The reactor stalled at lithium because no stable nucleus has a mass of 5 or 8, and the universe cooled before it could leap the gap.

Stars took over. They fuse hydrogen into helium, then helium into carbon through the triple-alpha process; in 1953 Fred Hoyle predicted that carbon must have a particular excited energy state for this to work, and it was found that year at Caltech, in the laboratory of William Fowler. Massive stars go on to build oxygen, neon, magnesium and silicon, up to iron. There the profit stops: iron-56 and its neighbours have the most tightly bound nuclei, so fusing beyond them costs energy instead of releasing it. Exploding white dwarfs supply much of the iron in the galaxy.

Heavier elements are built by adding neutrons. The slow s-process, in dying red giants, takes thousands of years and makes about half of them, including strontium, barium and lead. The rapid r-process needs a flood of neutrons, found where neutron stars collide and perhaps in rare supernovae, and makes gold, platinum and uranium. The plan was laid out in 1957 by Margaret and Geoffrey Burbidge, Fowler and Hoyle, in a paper still known as B²FH. Proof that stars work as forges came in 1952, when Paul Merrill found technetium in the spectra of red giants: it has no stable form and its longest-lived kind lasts only about four million years, so it must be made inside them now. In 2017 the light of the neutron-star merger GW170817 showed signs of freshly made heavy elements, and strontium was identified in its spectrum in 2019. Lithium, beryllium and boron are a special case, mostly chipped off heavier nuclei by cosmic rays.

Did you know? Around six of every ten atoms in your body are hydrogen, made in the first minutes of the universe and around 13.8 billion years old.

One puzzle remains: the oldest stars hold about three times less lithium than the Big Bang should have made. The rest of the story is settled enough to hang in a classroom. The periodic table on the wall is also a family tree of the cosmos.

Making the elements: the periodic table as a map of cosmic forges main origin of each natural element · simplified Tc Ln An Not natural unstable: Tc, Pm The periodic table is a family tree of cosmic events. H He Big Bang first 20 minutes 1 Li Be B Cosmic rays spallation 2 O Ne Si Ca Fe Ni Massive stars C to Fe, supernovae 3 White dwarfs Type Ia: iron peak iron-56 C N Sr Ba Pb Dying red giants s-process: Sr Ba Pb 4 I Pt Au Eu U Star mergers r-process: Au Pt U 5
Fig 57 · Making the Elements. The periodic table as a map of cosmic forges, from the Big Bang to colliding neutron stars
Chapter 58 · Part VI

Mapping the Universe

Cosmology became an exact science by counting. A redshift survey measures where each galaxy sits on the sky and how far its light is stretched, turning a flat picture into a three-dimensional map; imaging surveys add billions more galaxies with distances estimated from their colours. Each map tests the whole cosmic recipe at once: how much matter there is, how fast structure grows and how dark energy behaves.

The first slice was a shock. In 1986 Valérie de Lapparent, Margaret Geller and John Huchra at the Harvard–Smithsonian Center for Astrophysics plotted about 1,100 galaxies in a thin wedge of sky. Instead of a random scatter, galaxies lay on the walls of great bubbles around empty voids, and the Coma Cluster formed the body of what looked like a stick figure. In 1989 the same survey revealed the Great Wall, a sheet of galaxies some 500 million light-years long. The 2dF Galaxy Redshift Survey on the Anglo-Australian Telescope measured about 221,000 galaxies between 1997 and 2002, and the Sloan Digital Sky Survey, running since 2000 with a dedicated 2.5-metre telescope in New Mexico, has gathered spectra for millions.

Precision came with a ruler. In 2005 teams from Sloan, led by Daniel Eisenstein, and from 2dF found a slight excess of galaxy pairs about 500 million light-years apart, the frozen imprint of sound waves from the cosmic microwave background era. Planck's maps of that background, released in 2013 and refined in 2018, fixed the universe's main parameters to around a per cent, and galaxy maps now check them at later times. Since 2021 the Dark Energy Spectroscopic Instrument (DESI) on the 4-metre Mayall telescope at Kitt Peak has used 5,000 robotic fibres to build the largest 3D map yet, with more than 14 million galaxies and quasars in its 2025 release.

The next maps go deeper and wider. ESA's Euclid, launched in July 2023, is imaging about a third of the sky to measure the shapes of around 1.5 billion galaxies, whose slight distortions trace dark matter. The Vera C. Rubin Observatory on Cerro Pachón in Chile, with an 8.4-metre mirror and a 3.2-gigapixel camera, the largest digital camera ever built for astronomy, released its first images in June 2025 and is starting a ten-year Legacy Survey of Space and Time expected to catalogue around 20 billion galaxies.

Did you know? The Sloan Great Wall, found in Sloan data in 2003, is a chain of galaxies about 1.4 billion light-years long, more than 13,000 times the width of the Milky Way's disc.

No map shows the universe as it is now. The deeper a survey reaches, the further back in time it sees, so each atlas is also a history book read from the last page backwards. Cartography, once the art of coastlines, now charts most of the observable cosmos.

Mapping the universe: galaxy surveys as towers tower height = galaxies mapped, log scale · isometric Height = log count 10× more = one step up From 1,100 galaxies to 20 billion in under forty years. CfA2 CfA2 slice 1986 1,100 → 18,000 walls and voids 1 2dF SDSS 2dF and Sloan 221,000 · millions BAO ruler 2005 2 DESI DESI since 2021 5,000 fibres 14 million+ in 3D 3 Euclid Rubin Euclid and Rubin 1.5 bn · c. 20 bn imaging surveys 4 Planck CMB · base Planck baseline CMB maps 2013, 2018 recipe to 1% 5
Fig 58 · Mapping the Universe. Galaxy surveys as towers on a log scale, all standing on Planck's map of the afterglow
Chapter 59 · Part VI

The Cosmic Calendar

The cosmic calendar squeezes the history of the universe into a single year. Carl Sagan popularised it in The Dragons of Eden in 1977 and in the television series Cosmos in 1980, when the universe was thought to be about 15 billion years old. With today's figure of 13.8 billion years, each day of the calendar stands for about 37.8 million years, each hour for about 1.6 million, and each second for about 437 years.

January is crowded. The Big Bang strikes at midnight on 1 January; at 00:14 the universe turns transparent and releases the light now seen as the cosmic microwave background. The first stars light up within the first week, and the Milky Way's oldest stars are shining before the month is out, with its disc taking shape through the spring. Then comes a long, quiet stretch in which generations of stars live, die and seed the gas with heavier elements. The Sun does not form until 1 September, and the Earth follows a day or so later.

The dates come from different clocks. The age of the universe is read from the microwave background and the expansion rate, measured by Planck. The Sun's age comes from the radioactive decay of uranium and lead in the oldest meteorite grains, which formed 4.567 billion years ago. The dates of life come from fossils, dated by the rocks around them. On that evidence the earliest microbes appear in late September, though the oldest traces are debated, and oxygen begins to fill the air around 29 October.

Most of what we think of as natural history crowds into December. Animals with shells and skeletons burst onto the scene in the Cambrian on 17 December. Plants reach dry land around 20 December, dinosaurs appear on Christmas Day, and an asteroid ends their reign early on the morning of 30 December. Our species, Homo sapiens, turns up at about 23:48 on New Year's Eve. Farming begins at 23:59:33, and Galileo raises his telescope to the sky less than a second before midnight.

Did you know? All of recorded history, from the first writing in Mesopotamia to this morning's news, fits into the last 12 seconds of 31 December.

The calendar is a scale model, not a prophecy. The year is not ending at midnight: the universe will go on for vastly longer than it has existed, and on the same scale the Sun has about four more months before it swells into a red giant. A human lifetime is about a fifth of a second. Every human story ever told has happened in the time it takes to say "Happy New Year".

The cosmic calendar: 13.8 billion years as one year 1 day ≈ 37.8 million years · 1 second ≈ 437 years J F M A M J J A S O N D December, day by day 23:45 23:48 23:51 23:54 23:57 31 December, the last 15 minutes A human lifetime: a fifth of a second. January: light, stars 00:00 Big Bang · 00:14 CMB c. 3 Jan first stars 1 1 Sep: the Sun 4.6 billion yr ago 2 Autumn: life late Sep · 29 Oct O₂ 3 17 Cambrian 20 land plants 25 dinosaurs 30 asteroid December: complex life skeletons → dinosaurs → us 4 23:48 · Homo sapiens The final 30 seconds 23:59:33 farming 23:59:48 writing 5
Fig 59 · The Cosmic Calendar. The universe's 13.8 billion years as one calendar year, with December and the last minute
Chapter 60 · Part VI

How It All Ends

How the universe ends depends mostly on dark energy, the unknown something that is accelerating cosmic expansion. The gravity of all the matter can no longer stop that expansion on its own, so the outcome turns on whether dark energy stays the same, grows stronger or fades away. Whichever it is, the timescales dwarf everything so far. On the longest reckonings, the universe's 13.8 billion years are a few opening seconds.

The favoured fate is heat death, sometimes called the Big Freeze. If dark energy is a cosmological constant, as most data have long suggested, expansion goes on accelerating for ever. In roughly 100 billion years every galaxy beyond our own merged neighbourhood will have slipped beyond view, and any astronomers then would see a single giant galaxy in an empty dark, with little sign that a Big Bang ever happened. Star formation dwindles as gas runs out; Fred Adams and Gregory Laughlin estimated in 1997 that the last stars will fade around 100 trillion years from now. Black holes then dominate, slowly evaporating through the quantum glow predicted by Stephen Hawking in 1974: one with the mass of the Sun in about 10⁶⁷ years, the largest in around 10¹⁰⁰. What remains is a thin, cold radiation bath with nothing left to happen. The term "heat death" comes from 19th-century thermodynamics: not a universe that burns, but one where no heat can flow because everything is the same temperature.

The violent alternative is the Big Rip. In 2003 Robert Caldwell, Marc Kamionkowski and Nevin Weinberg showed that if dark energy grows denser over time, expansion would eventually overpower the forces holding everything together. In their worked example, about 22 billion years from now, galaxies are torn apart some 60 million years before the end, the Solar System comes unbound about three months before it, and atoms are ripped apart in the final instant. Current measurements push any rip, if there is one, far further off.

The reverse is the Big Crunch. If dark energy weakens and eventually turns negative, expansion could stall and reverse, pulling everything back into a hot, dense state. Hints from DESI in 2024 and 2025 that dark energy may be weakening revived interest, though no recollapse is established. Stranger still is vacuum decay: measurements of the Higgs boson and top quark suggest our vacuum may not be the lowest possible energy state, and a bubble of a truer vacuum could one day appear and spread at nearly the speed of light. Estimates put the expected wait far beyond 10¹⁰⁰ years.

Did you know? A small red dwarf such as Proxima Centauri may shine for around four trillion years, so the last stars to die will be the faintest ones.

Closer to home, the timetable is clearer: in about five billion years the Sun swells into a red giant. Euclid, DESI and Rubin are now measuring dark energy finely enough to narrow the cosmic forecast. The universe almost certainly has an ending, and we happen to live in its brief, bright opening chapter.

How it all ends: four fates, one deciding question The universe's 13.8 billion years are its opening seconds. What does dark energy do? measured by DESI, Euclid, Rubin 1 Heat death the Big Freeze · favoured stays constant 10¹¹ yr other galaxies gone 10¹⁴ yr last stars fade 10⁶⁷ yr star black holes go 10¹⁰⁰ yr giant ones evaporate 2 Big Rip phantom energy · 2003 grows stronger −60 Myr galaxies torn apart −3 months Solar System unbound −30 min Earth breaks up −10⁻¹⁹ s atoms ripped apart 3 Big Crunch recollapse · speculative fades, reverses stall expansion halts reverse galaxies close in collapse hot, dense end evidence DESI hints 2024–25 4 Vacuum decay, at any time Higgs field may be metastable · a bubble spreads at near light speed · wait ≫ 10¹⁰⁰ yr 5
Fig 60 · How It All Ends. Four fates for the universe, branching on what dark energy does next
Part VII

Exoplanets & Life

Six thousand worlds and the search for company.

Chapter 61 · Part VII

Worlds Beyond

For most of history the planets of other stars were a matter of faith. Giordano Bruno argued for countless worlds in the 1580s, and astronomers assumed them for centuries, but nobody could prove a single one. The problem is contrast. A planet is a dim speck lost in the glare of a star typically a billion times brighter, and even the nearest stars are light-years away. An exoplanet, any planet orbiting a star other than the Sun, had to be caught indirectly, by its effect on its star.

The first ones came as a shock. In 1992 Aleksander Wolszczan and Dale Frail, timing the pulsar PSR B1257+12 with the Arecibo radio telescope, found its metronome-perfect pulses arriving early and late in a pattern only orbiting planets could explain. These worlds circle the collapsed core of an exploded star some 2,300 light-years away. Then on 6 October 1995 Michel Mayor and Didier Queloz of the University of Geneva announced 51 Pegasi b, a giant of about half Jupiter's mass circling an ordinary Sun-like star every 4.2 days. Found with the ELODIE spectrograph at the Haute-Provence Observatory in France, it won them a share of the 2019 Nobel Prize in Physics.

What followed was an avalanche. In 1999 the first planet seen crossing the face of its star, HD 209458 b, proved these were real gas giants. NASA's Kepler space telescope, launched in 2009, stared at about 150,000 stars in Cygnus and Lyra and found more than 2,600 confirmed planets before retiring in 2018; TESS took over that year, scanning almost the whole sky. In 2016 a planet turned up around Proxima Centauri, the nearest star of all, and in 2017 seven Earth-sized worlds were revealed around TRAPPIST-1. NASA's Exoplanet Archive passed 6,000 confirmed planets in 2025, with thousands more candidates awaiting checks.

Did you know? The first exoplanets ever confirmed orbit a dead star: the pulsar PSR B1257+12, which spins about 160 times a second and sweeps its planets with beams of radiation.

The numbers now say something profound. Gravitational microlensing surveys, which catch planets by the way their gravity briefly magnifies a background star, suggest that the typical star in the Milky Way hosts at least one planet. Planets therefore outnumber stars, with hundreds of billions in our galaxy alone. They come in a bewildering variety, from lava worlds to puffed-up giants less dense than cork, and most systems look nothing like ours. A common myth casts exoplanets as rare jewels; in fact the rare thing, so far, is a system shaped like the Sun's.

Each method favours different worlds. Transits catch planets lined up edge-on; wobbles weigh the heavy and the close; direct imaging photographs young giants far from their stars; microlensing finds cold worlds and even rogues adrift between the stars. Together they turn every point of light overhead into a probable solar system. On a clear night, most of the stars you can see have planets, and one of those planets is the one you are standing on.

Worlds beyond: the exoplanet count, 1990–2026 confirmed planets, NASA Exoplanet Archive (approx.) 0 2,000 4,000 6,000 1990 2000 2010 2020 found by: transits ~3/4 · wobbles · direct imaging · microlensing · timing From none to thousands: planets are the rule, not the exception. Pulsar worlds PSR B1257+12 1992 · Arecibo 1 51 Pegasi b 1995 · ELODIE Nobel 2019 2 Kepler era 2009–2018 2,600+ planets 3 Next door Proxima b 2016 TRAPPIST-1 2017 4 6,000+ Today 2025 · NASA TESS + JWST 5
Fig 61 · Worlds Beyond. Thirty years of discovery: from pulsar planets to more than 6,000 worlds
Chapter 62 · Part VII

The Transit Method

Most known exoplanets were found by their shadows. When a planet's orbit happens to be lined up edge-on to us, it passes across the face of its star once every orbit, blocking a sliver of light. This is the transit method: watch thousands of stars at once, measure their brightness with exquisite precision, and look for dips that repeat like clockwork. The depth of the dip gives the planet's size, since the fraction of light blocked equals the area of the planet's disc divided by the star's. The spacing between dips gives the length of its year.

The dips are tiny. Jupiter crossing the Sun would dim it by about 1 per cent; Earth would dim it by only 0.008 per cent, roughly 84 parts in a million, for about 13 hours once a year. Seen from a random direction, there is only about a 1 in 200 chance that an Earth-like orbit lines up at all. That is why surveys watch enormous numbers of stars, and why the best of them work from space, above the shimmer of the atmosphere.

The first transit was caught in 1999, when David Charbonneau and colleagues, and independently Greg Henry, watched HD 209458 b, a gas giant about 160 light-years away, dim its star by around 1.5 per cent. NASA's Kepler, launched in 2009, turned the trick into an industry. It stared at one patch of sky in Cygnus and Lyra, measuring about 150,000 stars every half hour for four years, and found thousands of planets, including Kepler-186f, the first Earth-sized world confirmed in a habitable zone. After two of its reaction wheels failed it carried on as K2 until its fuel ran out in 2018. TESS, launched in April 2018, now surveys almost the whole sky in strips, favouring nearby, bright stars that are easier to follow up. ESA's PLATO mission is planned to join it from around the end of 2026.

Did you know? Transits can reveal planets that never cross their star at all: an unseen sibling's gravity makes a transiting planet arrive minutes early or late, which is how Kepler-19c was found in 2011.

Transits tell more than size. Combine the size with a mass from the wobble method and you get density, enough to tell iron and rock from water or gas. And during a transit, a thin ring of starlight filters through the planet's atmosphere, picking up the fingerprints of the molecules in it. Hubble detected sodium this way in HD 209458 b in 2002; in 2022 JWST found carbon dioxide in the atmosphere of WASP-39 b, the first clear detection of the gas on a planet beyond the solar system.

The method has a bias worth remembering: it favours big planets close to small stars, because they transit often and deeply. The census is lopsided, and astronomers correct for it statistically. The alignment also cuts both ways. From some nearby stars, an observer watching the Sun would see Earth's own transit each year, a regular wink announcing that a small world circles in our star's habitable zone.

The transit method: a planet's shadow depth = (planet radius ÷ star radius)² host star brightness time The shadow gives the size, the rhythm the year, the rim of light the air. Edge-on orbit Earth-like orbit: ≈1 in 200 line up 1 depth Jupiter ≈1% · Earth ≈0.008% 2 period P = one year 3 Starlight through air JWST 2022: CO₂ on WASP-39 b Hubble 2002: sodium, HD 209458 b 4 The hunters Kepler 2009–18 · ≈150,000 stars TESS 2018– · almost whole sky 5
Fig 62 · The Transit Method. A planet's shadow: how a dip in starlight gives a world's size, year and air
Chapter 63 · Part VII

The Wobble Method

A planet does not simply orbit its star. Both swing around their shared centre of mass, the barycentre, like a dancer whirling a much lighter partner. The star traces a tiny loop, moving towards us for half the orbit and away for the other half. That motion shifts its light by the Doppler effect: slightly bluer as it approaches, slightly redder as it recedes. By measuring this radial velocity, astronomers can detect and weigh planets they cannot see.

The signals are absurdly small. Jupiter drags the Sun around at about 12.5 metres per second, roughly a sprinter's speed, over its 12-year orbit. Earth moves it at just 9 centimetres per second, about the pace of a giant tortoise. Jupiter's pull shifts the wavelength of sunlight by a few parts in a hundred million, Earth's by a few parts in ten billion, so the spectrographs that measure such shifts must be extraordinarily stable: sealed in vacuum tanks, held at constant temperature and calibrated against glowing lamps, iodine gas or laser frequency combs.

This method announced the exoplanet age. Bruce Campbell, Gordon Walker and Stephenson Yang reported a possible planet around Gamma Cephei in 1988 but were too cautious to claim it; it was confirmed only in 2003. Then in 1995 Michel Mayor and Didier Queloz used the ELODIE spectrograph in France to find 51 Pegasi wobbling at about 56 metres per second every 4.2 days, the signature of a giant hugging its star. Geoff Marcy and Paul Butler in California quickly confirmed it and went on to find dozens more. The HARPS spectrograph at La Silla in Chile, working from 2003, reached about 1 metre per second and in 2016 helped find Proxima b around the nearest star. ESPRESSO on the Very Large Telescope now pushes towards 10 centimetres per second.

Did you know? The barycentre of the Sun and Jupiter lies just outside the Sun's surface, so strictly speaking Jupiter does not orbit the Sun's centre at all.

The wobble's rhythm gives the planet's period, its size gives the mass, and its shape reveals whether the orbit is circular or stretched. There is one catch. Because we usually do not know how the orbit is tilted, the method yields only a minimum mass. Pair it with a transit, which fixes the tilt, and the true mass emerges. Stars also cheat: starspots, pulsations and the boiling of their surfaces produce jitters of a metre per second or more that can mimic planets, and untangling them is now the field's hardest problem.

The prize is a true Earth twin, which demands catching 9 centimetres per second over years. The planned Terra Hunting Experiment aims to watch a few dozen Sun-like stars almost nightly for a decade to try. Meanwhile the wobble supplies the masses of most nearby worlds, including the small planets teased out around Barnard's Star in 2024 and 2025. Seen from afar, our own Sun is quietly flinching at nine centimetres a second, and in principle someone could be measuring it.

The wobble method: weighing what we cannot see radial velocity · Doppler shift of starlight planet's orbit to observer on Earth Weigh a world without seeing it: just watch its star flinch. barycentre shared centre of mass 1 planet lines shift blue 2 lines shift red 3 Velocity curve: 51 Pegasi +56 m/s −56 m/s 4.2 days 4 Precision ladder ELODIE 1995 13 m/s HARPS 2003 ≈1 m/s ESPRESSO 2018 →0.1 m/s Earth twin needs 0.09 m/s 5
Fig 63 · The Wobble Method. Star and planet circle a shared centre; the star's light shifts blue, then red
Chapter 64 · Part VII

Hot Jupiters

Before 1995, theory told a neat story. Giant planets form far from their stars, beyond the snow line, where ice is plentiful enough to build massive cores, so gas giants should sit in wide, slow orbits like Jupiter's 12-year circuit at 5.2 times Earth's distance from the Sun. Then the first planet found around a Sun-like star broke the rule. 51 Pegasi b has about half Jupiter's mass but orbits just 0.05 astronomical units from its star, eight times closer than Mercury is to the Sun, and its year lasts 4.2 days. It is the archetype of the hot Jupiters.

These are some of the most extreme places known. Tides at such close range almost certainly lock them with one face permanently towards the star, giving a scorching day side and a cooler night side, with jet streams of thousands of kilometres an hour between them. KELT-9b, the hottest known, has a day side of around 4,300 °C, hotter than many stars. On WASP-76b, the ESPRESSO spectrograph on ESO's Very Large Telescope found in 2020 that iron vaporises on the day side and appears to condense as the gas crosses into night. HD 189733 b, deep blue in Hubble's eyes, may have winds carrying droplets of molten glass. HD 209458 b trails a comet-like tail of hydrogen boiling off its heated atmosphere.

How did they get there? Most astronomers think they formed farther out and migrated inward. Some spiralled in through the gas disc around the young star, trading momentum with it, a scenario worked out for 51 Pegasi b by Douglas Lin, Peter Bodenheimer and Derek Richardson in 1996. Others may have been flung onto stretched orbits by sibling planets, then had their orbits rounded off by tides. Measurements made during transits of the angle between a hot Jupiter's orbit and its star's spin show that many orbit tilted or even backwards, scars of violent histories. A minority may simply have formed where they are.

Hot Jupiters dominated early discoveries because they are easy. Big, close and quick, with wobbles of tens to hundreds of metres per second, they shout in both the wobble and the transit methods. Yet surveys show they are genuinely rare, found around only about 1 per cent of Sun-like stars; their early fame was a selection effect. Some are doomed. WASP-12b, circling its star in about 26 hours, has an orbit shrinking by roughly 29 milliseconds a year and should be swallowed within a few million years.

Did you know? The hot Jupiter TrES-2b reflects less than 1 per cent of the light that falls on it, making it darker than coal.

Their real legacy is a lesson in humility. Hot Jupiters proved that planetary systems are dynamic, with giants that can wander across a system and scatter whatever lies in their path. Our own Jupiter may once have drifted inward and then back out, a proposal called the Grand Tack, and in doing so shaped the small rocky worlds of the inner solar system. Had it kept going, Earth might never have formed.

Hot Jupiters: giants in the furnace orbits in astronomical units (AU); Earth–Sun = 1 AU Giants wander: the tidy solar system is one arrangement among many. WASP-12b 51 Peg b · 0.05 Mercury 0.39 Jupiter 5.2 AU: far off the page 1 day >1,000 °C faces star night cooler tidally locked: one face 2 snow line Migration disc drift or scattering 3 KELT-9b ≈4,300 °C day WASP-76b iron vapour HD 189733 b glass rain? WASP-12b spiralling in the most extreme worlds known, all found since 2005 4 ≈1 in 100 stars 5
Fig 64 · Hot Jupiters. Giant planets parked closer to their stars than Mercury is to the Sun
Chapter 65 · Part VII

Super-Earths & Mini-Neptunes

If you picked a planet at random from the Milky Way, it would probably be a kind our solar system lacks. Kepler's census showed that the most common planets around Sun-like stars, at least in orbits of up to a few months, are between one and four times Earth's width. Earth is the largest rocky planet we have; Neptune, at almost four Earth radii, is the smallest giant. In between lies an empty gap in our own family and a crowded one everywhere else.

These planets split into two populations. In 2017 Benjamin Fulton and colleagues, using precise star sizes from the California-Kepler Survey, found a shortage of planets around 1.5 to 2 Earth radii, now called the radius valley or Fulton gap. Below it sit super-Earths, mostly bare rock and iron, some several times heavier than Earth. Above it sit mini-Neptunes, rocky cores wrapped in thick envelopes of hydrogen and helium, puffed up by a few per cent of their mass in gas. The leading explanation is that young planets close to their stars lost their light atmospheres, stripped by stellar X-rays and ultraviolet light or by heat leaking from their own cores, while those with more gas or more distance kept them. Leslie Rogers had estimated in 2015 that most planets bigger than about 1.6 Earth radii are not rocky.

Each is an experiment we cannot run at home. 55 Cancri e, almost twice Earth's width and eight times its mass, circles its star in under 18 hours with a day side hot enough to melt rock; JWST data in 2024 hinted that it holds an atmosphere, perhaps fed by a magma ocean. GJ 1214 b, a mini-Neptune 48 light-years away, is cloaked in haze so thick that its spectrum is nearly featureless. Then there is K2-18 b, 124 light-years away and 2.6 times Earth's width, orbiting in its red dwarf's habitable zone. Nikku Madhusudhan of Cambridge has proposed it as a hycean world, a planet-wide ocean under a hydrogen sky, though other teams argue it may be a gas-rich mini-Neptune or even have a molten surface.

Did you know? Statistically, the Milky Way's most typical planet is a kind we cannot visit or study up close, because the Sun never made one.

Size and mass alone are ambiguous. A planet of 2.5 Earth radii and 8 Earth masses could be rock under a thin hydrogen veil, or rock beneath a deep layer of water, or something stranger; several mixtures fit the same density. That is why JWST's spectra of their atmospheres matter. The balance of water, methane, ammonia and carbon dioxide helps tell an ocean world from a gas dwarf.

Why our system skipped them is itself a clue. One idea is that the young Jupiter blocked the inward drift of pebbles that might have built super-Earths close to the Sun, leaving the small rocky planets we have. Whatever the cause, the planet under your feet is the exception, and the galaxy's favourite kind of world is one we can only study from light-years away.

Between Earth and Neptune: the galaxy's commonest planets column height = planet radius, to scale (1 R⊕ = 52 px) iron rock water / ice H/He gas Kepler census, 2009–2018 The commonest kind of planet is the one kind our Sun never made. Earth 1.0 R⊕ 1 Super-Earth ≤1.6 R⊕ · rock 2 Radius valley 1.5–2 R⊕ few planets 3 Mini-Neptune ≈2.6 R⊕ 4 Neptune 3.9 R⊕ 5
Fig 65 · Super-Earths & Mini-Neptunes. The galaxy's commonest planets, sized between Earth and Neptune, opened up
Chapter 66 · Part VII

The Habitable Zone

Around every star lies a band of orbits where a planet with the right kind of atmosphere could keep liquid water on its surface: the habitable zone, nicknamed the Goldilocks zone. Too close and oceans boil away; too far and they freeze solid. The term was popularised by Su-Shu Huang in 1959 and made quantitative by James Kasting and colleagues in 1993, who modelled how a planet's carbon dioxide and water vapour respond to starlight. In 2013 Ravi Kopparapu and colleagues updated the calculation, placing the Sun's conservative zone at roughly 0.99 to 1.7 times Earth's distance, with Earth uncomfortably close to its inner edge.

The zone's position depends on the star. A hot, bright F-type star pushes it out beyond the distance of Mars; a dim red dwarf pulls it in to a few hundredths of an astronomical unit, where a year lasts days or weeks. Proxima b, 4.2 light-years away, orbits in its star's habitable zone every 11.2 days at just 0.05 astronomical units. TRAPPIST-1's zone lies well inside the size of Mercury's orbit. Kepler-186f, announced in 2014, was the first Earth-sized planet confirmed in a habitable zone; Kepler-452b, announced in 2015, circles a Sun-like star in a 385-day year.

The zone also moves with time. Stars brighten as they age, and the Sun is about 30 per cent more luminous than when Earth formed. In roughly a billion years its growing glare will push the inner edge beyond Earth's orbit, and our oceans will begin to escape to space. Life on Earth occupies a window in the zone's slow outward march.

Did you know? Venus sits just inside the inner edge of the Sun's habitable zone, and its surface, at about 465 °C, is hot enough to melt lead.

The habitable zone is a first filter, not a promise, and a popular myth treats it as a label for life. Our own system proves the point. Mars orbits within the zone yet is a frozen desert, because it was too small to keep its atmosphere once its magnetic field faded. Atmosphere, magnetism, plate tectonics, tides and stellar flares all decide the rest. Red dwarfs, about three-quarters of the galaxy's stars, are convenient targets with brutal habits: violent flares, and planets likely to be tidally locked, with one face in permanent day. Conversely, water can exist far outside any habitable zone. Europa and Enceladus hide oceans beneath their ice, kept liquid by tidal flexing.

Even with these caveats the numbers are large. Analyses of Kepler data suggest that a substantial fraction of Sun-like stars host a roughly Earth-sized planet in the zone, and red dwarfs may add tens of billions more across the galaxy. The habitable zone tells telescopes where to look first. For us it is a reminder that a blue sky is a fortunate, and temporary, address.

The habitable zone, star by star distance from star, log scale (AU) · zone ranges approximate 0.01 0.1 1 AU 10 too hot ← → too cold A starting line, not a guarantee: the zone marks where water could stay liquid. F star K dwarf zone beyond Mars 1 Sun (G) Venus Earth Mars Jupiter Saturn 2 Proxima TRAPPIST-1 Proxima b · 11.2 d e f g TRAPPIST-1 e, f, g 3 Kepler-186 Kepler-186f · 2014 Kepler-442b · 2015 4 Oceans under ice Europa · Enceladus: tides 5
Fig 66 · The Habitable Zone. Where liquid water is possible, star by star: close for red dwarfs, far for hot stars
Chapter 67 · Part VII

TRAPPIST-1

Forty light-years away in Aquarius lies a star so faint that you need a large telescope to see it at all. TRAPPIST-1 is an ultracool red dwarf only slightly wider than Jupiter, with about 9 per cent of the Sun's mass and a surface around 2,300 °C, glowing mostly in infrared. Around it circle seven rocky planets, each roughly the size of Earth. The whole system would fit comfortably inside the orbit of Mercury: the outermost planet, h, orbits at about 0.06 astronomical units, and its year lasts under 19 days.

The planets were found by their transits. In 2016 Michaël Gillon of the University of Liège and colleagues announced three, using TRAPPIST, a 60-centimetre robotic telescope at La Silla in Chile whose name nods to the Trappist beers of Belgium. In February 2017 NASA's Spitzer Space Telescope, after watching the star almost continuously for about 20 days, showed there were seven. Their orbits form a precise resonance chain: for every eight orbits of b, c completes five, and simple ratios continue down the line. So delicate a chain suggests the planets formed farther out and migrated inward together, gently.

Because the planets transit often and the star is small, the dips are deep and the timing exquisite. Tiny variations in when each planet crosses, measured over years, give their masses. They turn out to have similar densities, a little lower than Earth's, consistent with rocky bodies holding slightly less iron or some water. Three planets, e, f and g, lie in the habitable zone, with d at its warm inner edge.

The James Webb Space Telescope has started asking the obvious question: do they have air? In 2023 its MIRI instrument measured the day side of b at about 230 °C, close to what a bare dark rock would reach, and c at about 110 °C, ruling out a thick, Venus-like carbon dioxide atmosphere on either. The star's habits count against them: TRAPPIST-1 flares frequently and was brighter in its youth, which may have stripped the inner worlds. The verdict on e, the best candidate for an Earth-like climate, is still being gathered transit by transit.

Did you know? From the surface of one TRAPPIST-1 planet, a neighbour passing close by could look larger in the sky than the full Moon does from Earth.

TRAPPIST-1 is a laboratory for the most important statistical question in the search for life. Red dwarfs make up most of the galaxy's stars, and the smallest live for trillions of years, far longer than the Sun's 10-billion-year lifetime. If planets like these can keep their atmospheres, most of the habitable real estate in the universe orbits dim red suns, and it will last almost forever.

TRAPPIST-1: one red dwarf, seven rocky worlds TRAPPIST-1 M8 dwarf · 40 ly · Aquarius · 0.09 M☉ Resonance chain periods in ratio 8:5 · 5:3 · 3:2 · 3:2 · 4:3 · 3:2, b to h The whole family would fit inside Mercury's orbit, six times over. Roasted too hot b 1.51 d · 1.12 R⊕ c 2.42 d · 1.10 R⊕ 1 Inner edge warm rim d 4.05 d · 0.79 R⊕ 2 Habitable e, f, g e 6.10 d · 0.92 R⊕ f 9.21 d · 1.05 R⊕ g 12.4 d · 1.13 R⊕ 3 Cold outer likely frozen h 18.8 d · 0.76 R⊕ 4 Observers who saw them TRAPPIST 60 cm · 2016 Spitzer seven · 2017 JWST MIRI · 2023– 5
Fig 67 · TRAPPIST-1. One cool red star, seven rocky worlds: the family, from roasted b to frigid h
Chapter 68 · Part VII

Biosignatures

We will not visit the surfaces of other stars' planets any time soon, so the search for life there is a matter of chemistry at a distance. A biosignature is a substance or pattern that life produces and that is hard to make otherwise. On Earth the clearest is the atmosphere itself: about 21 per cent oxygen, plus methane at under two parts per million. The two react with each other in sunlight, and methane lasts only about a decade in our air, so their coexistence means something is constantly replenishing both. James Lovelock argued in 1965 that this kind of chemical disequilibrium would betray life on any planet.

The idea has been tested on the one living world we know. In December 1990 the Galileo spacecraft, swinging past Earth on its way to Jupiter, turned its instruments on its home planet, and in 1993 Carl Sagan and colleagues reported what an alien observer would conclude. They found abundant oxygen, methane far out of equilibrium, a sharp rise in reflected light just beyond the red, now called the red edge of vegetation, and narrowband radio signals that no natural process explains. Life, and even technology, was detectable.

For exoplanets the main tool is transmission spectroscopy. During a transit, starlight passing through a planet's atmosphere loses specific colours absorbed by its molecules, and JWST, launched in December 2021, reads them with instruments such as NIRSpec and MIRI. In 2023 a team led by Nikku Madhusudhan reported methane and carbon dioxide in the atmosphere of K2-18 b, a possible ocean world 124 light-years away, plus a tentative hint of dimethyl sulphide, a gas that on Earth comes mainly from marine plankton. A 2025 follow-up claimed a stronger signal, but independent reanalyses found the evidence weak or absent, and the argument continues.

Did you know? Seen from another star, Earth's air may have advertised life for around two billion years, ever since oxygen from cyanobacteria built up, long before any animals existed.

No single molecule proves life, and false alarms are part of the method. Oxygen can accumulate without life when ultraviolet light splits water on a planet losing its hydrogen to space, a particular risk around red dwarfs. Methane leaks from volcanoes and from water reacting with hot rock. In 2020 a reported detection of phosphine on Venus caused a sensation, then a long dispute over the data. Astronomers now talk of a ladder of confidence, from "consistent with life" to "no other explanation", and expect any first claim to be fought over for years.

Better tools are coming. ESO's Extremely Large Telescope, planned for first light around the end of this decade, may probe oxygen on nearby rocky planets, and NASA's proposed Habitable Worlds Observatory aims to image Earth-like planets around Sun-like stars and take their spectra directly. The question is no longer whether we could recognise a living world, but how sure we would need to be. Somewhere in the starlight already reaching us, the answer may be written in a few missing colours.

Biosignatures: reading a planet's air by starlight transmission spectroscopy during a transit No single gas proves life: the verdict comes from context, and patience. star JWST planet + air 1 Transmission spectrum 1 μm 2 μm 3 μm 4 μm 5 μm H₂O CH₄ CO₂ 2 Disequilibrium pair O₂ and CH₄ destroy both present → renewed Galileo 1990: Earth passes 3 False positives UV splits water → O₂ volcanoes → CH₄ hot rock + water → CH₄ 4 Ladder of confidence no other explanation independent confirmation ruled-out fakes consistent with life a hint K2-18 b (2023–25) and Venus phosphine (2020): still disputed 5
Fig 68 · Biosignatures. Reading a planet's air by starlight, from spectrum to a cautious verdict
Chapter 69 · Part VII

The Drake Equation

In the autumn of 1961 a young radio astronomer, Frank Drake, hosted a small meeting at the National Radio Astronomy Observatory in Green Bank, West Virginia, to discuss whether we could detect intelligent life elsewhere. To organise the agenda he wrote down the factors that would decide how many civilisations in our galaxy might be sending signals right now. The result, now called the Drake equation, multiplies seven terms: the rate at which suitable stars form, the fraction with planets, the number of habitable planets per system, the fractions of those on which life, intelligence and detectable technology arise, and L, the length of time such civilisations keep transmitting.

About a dozen people attended, including Carl Sagan, Philip Morrison and the chemist Melvin Calvin, who learned during the meeting that he had won the Nobel Prize in Chemistry. They called themselves the Order of the Dolphin, after the attendee John Lilly's work on dolphin intelligence. Their own guesses gave an answer roughly equal to L: if civilisations last a thousand years, perhaps a thousand are out there; if they last a million, perhaps a million.

Six decades on, astronomy has filled in the front of the equation. The Milky Way turns roughly one to two Suns' worth of gas into new stars each year. Kepler and its successors show that most stars have planets and that a meaningful fraction have rocky worlds in their habitable zones. The astronomical terms, pure guesses in 1961, are now known to within factors of a few.

Did you know? Drake never expected his equation to be solved: he wrote it simply as a way to organise the agenda of a meeting.

The back half remains guesswork. We have one example of life, one of intelligence and one of technology, and a sample of one cannot give a fraction. Life appeared on Earth fairly quickly, perhaps within a few hundred million years, which some take as a hint that it is easy; intelligence capable of building radios took about four billion years, and only one species out of millions managed it. L is the most humbling term of all, since our own civilisation has been radio-loud for barely a century. Honest answers still range from far less than one, meaning we are probably alone in the galaxy, to many thousands or more.

The equation is often mocked as a way of multiplying ignorance, but that misses its purpose. It turns a vague question into a research programme, showing which numbers astronomy, biology and history would each have to supply. It also sharpens the Fermi paradox, Enrico Fermi's lunchtime question of 1950: if civilisations are common, where is everybody? Frank Drake died in 2022. His equation, still unsolved, remains the best map we have of our own uncertainty, with our own future written into its final term.

The Drake equation: seven factors, one number N = R* · fp · ne · fl · fi · fc · L shaded = measured by astronomy · white = unknown A map of our ignorance, with our own future in the last term. R* star births Measured ≈1–2 Suns of gas a year 1 fp with planets ne habitable worlds Measured most stars have planets Kepler · TESS · RV 2 fl life begins fi intelligence Unknown one example: Earth tiny … nearly 1 3 fc technology Unknown radio, lasers, beacons? 4 L lifetime N Drake, 1961 N ≈ L Green Bank meeting 1,000 yr → ≈1,000 5
Fig 69 · The Drake Equation. Seven factors that multiply into N, from star births to how long civilisations last
Chapter 70 · Part VII

SETI

The Search for Extraterrestrial Intelligence, or SETI, looks for technology rather than biology: radio transmissions, laser flashes or other signs that someone, somewhere, built something. Its scientific starting gun was a two-page paper in Nature in 1959, in which Giuseppe Cocconi and Philip Morrison pointed out that radio telescopes could already detect a transmitter like our own across interstellar distances. They suggested listening near 1,420 megahertz, the natural frequency of hydrogen, the universe's commonest element.

A year later Frank Drake tried it. Project Ozma, in 1960, used an 85-foot dish at Green Bank to listen to two nearby Sun-like stars, Tau Ceti and Epsilon Eridani, for about 150 hours. It heard nothing, and set the pattern. On 15 August 1977 Ohio State University's Big Ear telescope recorded a strong, narrow signal from the direction of Sagittarius, lasting the 72 seconds a source took to drift through its beam; the volunteer Jerry Ehman circled it on the printout and wrote "Wow!" beside it. Despite many attempts it has never been seen again. Proposed natural explanations, including a flaring hydrogen cloud suggested in 2024, remain unconfirmed.

The searches since have grown enormously. The SETI Institute, founded in 1984, built the Allen Telescope Array in northern California, which began observing in 2007. Breakthrough Listen, launched in 2015, uses the Green Bank Telescope, the Parkes dish in Australia known as Murriyang, and the MeerKAT array in South Africa to survey a million nearby stars and the centres of a hundred nearby galaxies. China's 500-metre FAST dish has joined in. Modern receivers sift billions of radio channels at once, and machine-learning tools, such as one trained in 2023 by Peter Ma and colleagues, now flag candidates among millions of human-made interference signals.

Did you know? A 2018 estimate by Jason Wright and colleagues found that all SETI searches to date had examined about as much of the possible search space as a large hot tub holds of water, compared with all of Earth's oceans.

That is the key to reading the silence. The cosmic haystack has many dimensions: direction on the sky, radio frequency, signal strength, type of signal and time, since a beacon might be switched on only occasionally. Silence from so small a sample says very little, a point made for decades by Jill Tarter, the SETI pioneer who inspired the heroine of Contact. There have been false alarms too: BLC1, a signal picked up in 2019 from the direction of Proxima Centauri, turned out to be interference from electronics on Earth.

A popular myth says aliens could be watching our old television. In fact our broadcast leakage is weak and would be hard to detect even a few light-years away, though powerful planetary radars carry much farther. SETI is a modest bet with the largest imaginable payoff, and every night the telescopes listen a little longer. Most of the sky's whispers are still unheard.

SETI: the cosmic haystack not to scale · the searched fraction is far smaller than drawn Silence from a hot tub says nothing about the ocean. Frequency 1–10 GHz window H line 1,420 MHz 1 Sky direction stars · galaxies · all-sky 2 Sensitivity fainter, farther GBT · Parkes · FAST 3 Searched so far ≈ a hot tub vs oceans Wright et al. 2018 4 Project Ozma 1960 · Green Bank Wow! signal 1977 · Big Ear, 72 s Allen Array 2007 · 42 dishes Breakthrough 2015– · 1M stars 5
Fig 70 · SETI. The cosmic haystack: frequency, sky and sensitivity, and the sliver searched so far
Part VIII

Telescopes

The instruments that turned wonder into science.

Chapter 71 · Part VIII

How Telescopes Work

A telescope is a light bucket with a sharp edge. Its first job is to collect far more light than the pupil of your eye, which opens to about 7 millimetres on a dark night; its second is to bring that light to a crisp focus, where an eye, a camera or a spectrograph can use it. There are only two ways to do this. A refractor bends light through a lens. A reflector bounces it off a curved mirror.

What matters most is the aperture, the diameter of the lens or mirror. Light grasp grows with the area, so with the diameter squared: a 1-metre mirror gathers about 20,000 times as much light as a dark-adapted eye, and an 8-metre giant more than a million times. Aperture also sets sharpness. Light spreads as it passes any opening, so the finest detail a telescope can split is roughly the wavelength divided by the diameter. For visible light a 1-metre telescope could in principle resolve about a seventh of an arcsecond, the width of a coin seen from 30 kilometres.

Refractors came first, in the Netherlands in 1608, and Galileo turned one on the sky a year later. Their weakness is colour. A simple lens bends blue light more than red, smearing every star into a fringed blur, a fault called chromatic aberration. Two-element achromatic lenses, patented by John Dollond in 1758, tamed it, and refractors grew to the 40-inch (1.02-metre) lens at Yerkes Observatory in Wisconsin, completed in 1897. That was effectively the end of the road. A lens can only be held by its rim, so a big one sags under its own weight, and light must pass through it, so the glass has to be flawless all the way through.

Did you know? Isaac Newton's first reflector of 1668 was only about 15 centimetres long, with a mirror of polished speculum metal some 3 centimetres across, yet it rivalled refractors many times its length.

Mirrors have none of those problems. A mirror reflects every colour to the same point, only its front surface needs to be perfect, and it can be propped up from behind. Newton put a small flat mirror inside the tube to send light out to the side; Laurent Cassegrain's design of 1672 sent it back through a hole in the main mirror instead, the layout used by Hubble and most professional telescopes today. When Léon Foucault and Carl August von Steinheil learned to coat glass with silver in the 1850s, the reflector won the size war for good.

One popular myth deserves to go: magnification hardly matters. Any telescope can magnify enormously by swapping the eyepiece, but it only shows more if it has gathered more light and focused it sharply. Astronomers rate an instrument by aperture, image quality and the detector behind it, never by zoom. When you look through a backyard telescope, you are using the same physics as the giants on the mountaintops: a wider bucket, and a truer curve.

Bend it or bounce it: the two ways to build a telescope refractor vs reflector · not to scale Refractor lens at the front Reflector (Cassegrain) mirror at the back starlight starlight Mirrors won: they can be held from behind and grown to giant size. Objective lens bends light · 1608 Colour fringes blue and red focus apart eyepiece 1 The size limit Yerkes 1.02 m, 1897 held only at its rim sags under its weight flawless all through chromatic blur 2 Primary mirror one surface, all colours 3 Focus Secondary mirror Cassegrain, 1672 Newton's first: 1668 4 Aperture is king light grasp ∝ D² eye, 7 mm 1 m ≈ 20,000 eyes 8 m > 1 million circles not to scale 5
Fig 71 · How Telescopes Work. Refractor and reflector: two ways to gather starlight and bring it to a focus
Chapter 72 · Part VIII

Light Buckets

Astronomy's history can be told as a race for glass. Each doubling of a mirror's diameter quadruples the light it collects, which lets it see objects about one and a half magnitudes fainter, or the same objects four times faster. Every jump in size has opened a new layer of the universe, so the biggest mirror of each era tends to define what that era discovers.

In 1917 the 100-inch (2.5-metre) Hooker telescope on Mount Wilson in California became the world's largest, and with it Edwin Hubble showed in the 1920s that the Andromeda nebula lay far beyond the Milky Way. George Ellery Hale then pushed for something twice as wide. The Hale Telescope on Palomar Mountain, with a 200-inch (5.1-metre) mirror of Pyrex glass weighing about 14.5 tonnes, was dedicated in 1948 and reigned for decades. Its mirror was ground and polished for more than a decade, interrupted by the Second World War. In 1963 Maarten Schmidt used it to measure the redshift of 3C 273, revealing the first known quasar.

Beyond about 8 metres, a single slab of glass becomes almost impossible to cast, move and keep in shape. The answer was the segmented mirror. Jerry Nelson's design for the twin 10-metre Keck telescopes on Mauna Kea, Hawaii, which opened in 1993 and 1996, tiles each primary from 36 hexagons 1.8 metres across. Sensors and pistons keep the segments aligned to within a few nanometres, about a ten-thousandth of the width of a hair, so that they behave as one mirror. Monolithic mirrors survived too: the University of Arizona spin-casts 8.4-metre honeycomb mirrors in a rotating furnace beneath its football stadium, and the European Southern Observatory's Very Large Telescope in Chile combines four 8.2-metre mirrors on Cerro Paranal.

Did you know? The first 200-inch mirror blank, cast by Corning in 1934, came out flawed when some of the moulding blocks broke loose. It was replaced, and the reject is on display at the Corning Museum of Glass in New York.

The next leap is under construction. ESO's Extremely Large Telescope on Cerro Armazones, Chile, will have a primary 39 metres across made of 798 hexagonal segments, each about 1.4 metres wide, inside a dome around 80 metres tall. Its collecting area of nearly 1,000 square metres is, ESO says, more than all today's 8- to 10-metre telescopes combined. The Giant Magellan Telescope, with seven 8.4-metre mirrors forming a 25-metre eye, is rising at Las Campanas in Chile, and the 30-metre Thirty Meter Telescope awaits a final site. First light for the ELT is planned for around the end of this decade.

Bigger mirrors do not give a closer view so much as a fainter, sharper one: planets around nearby stars, the first generation of galaxies, the spectra of individual stars in distant galaxies. Every photon these buckets catch has crossed space for years or billions of years to reach a mountaintop, and the bigger the bucket, the older and quieter the light it can hear.

Light buckets: a century of giant mirrors, to scale primary mirror diameters · 1 m = 3.2 units · isometric 10 m scale bar light grasp, relative to Hale Each doubling of width quadruples the light: the ELT gathers about 60 Hales. Hale, Palomar 5.1 m · 1948 one Pyrex slab ×1 1 Keck I + II 10 m · 1993 36 hexagons ×3.8 2 Giant Magellan 25.4 m · building 7 × 8.4 m mirrors ×25 3 ELT, Cerro Armazones 39 m · 798 segments each about 1.4 m wide first light: end of decade ×59 4
Fig 72 · Light Buckets. A century of giant mirrors, from Palomar's 5 metres to the 39-metre ELT, drawn to scale
Chapter 73 · Part VIII

Radio Astronomy

Visible light is a thin slice of the electromagnetic spectrum. Radio waves, with wavelengths from about a millimetre to many metres, pass through dust that blocks starlight and are emitted by things that hardly shine at all: cold hydrogen gas, electrons spiralling in magnetic fields, the spinning cores of dead stars. Radio astronomy listens to that part of the sky, day or night, through cloud as well as clear air.

It began by accident. In 1932 Karl Jansky, an engineer at Bell Telephone Laboratories in New Jersey, was tracking static that might disturb transatlantic radio calls. One faint hiss rose and fell every 23 hours and 56 minutes, the length of a sidereal day, and came from the direction of Sagittarius: the centre of the Milky Way. The unit of radio brightness, the jansky, is named after him. Grote Reber built a 9-metre dish in his back garden in Illinois in 1937 and made the first radio map of the sky.

A radio telescope works like an optical reflector. A curved dish focuses waves onto a receiver, and because radio waves are long, the surface need only be accurate to a fraction of the wavelength, so mesh will do for metre waves. The catch is sharpness. Resolution depends on wavelength divided by diameter, and radio waves are up to a million times longer than light, so a single dish sees a blurred sky. The fix, interferometry, combines signals from separate dishes so that they act like one telescope as wide as their spacing. Martin Ryle at Cambridge developed this aperture synthesis and shared the 1974 Nobel Prize for it.

The discoveries have been extraordinary. In 1951 Harold Ewen and Edward Purcell detected the 21-centimetre line of neutral hydrogen, which now maps the spiral arms of our galaxy. In 1967 Jocelyn Bell Burnell, a Cambridge graduate student, spotted the regular pulses of the first pulsar. China's FAST, a 500-metre dish set in a natural limestone hollow in Guizhou and completed in 2016, has found more than a thousand new pulsars. The Very Large Array in New Mexico spreads 27 dishes over 36 kilometres, and ALMA links 66 antennas at 5,000 metres in Chile's Atacama Desert.

Did you know? All the radio energy ever collected by radio telescopes, astronomers like to point out, would not equal the energy released by a single snowflake landing on the ground.

The ultimate interferometer is the Event Horizon Telescope, which links dishes from Hawaii to the South Pole at a 1.3-millimetre wavelength into a virtual telescope the size of Earth. In 2019 it revealed the shadow of the black hole in the galaxy M87, about 6.5 billion times the mass of the Sun, and in 2022 that of Sagittarius A* at the heart of our own galaxy. Next comes the Square Kilometre Array, with dishes in South Africa and more than 130,000 antennas in Western Australia. Radio astronomers hear the cold, dark and violent universe that our eyes were never built to see.

Radio astronomy: anatomy of a dish, and a dish the size of Earth single dish · interferometer · Event Horizon Telescope Many dishes as one One dish radio waves Link dishes across a planet and you can photograph a black hole's shadow. Dish surface λ/20 accuracy mesh: long waves 1 Feed + receiver cryo-cooled amp 2 Alt-az mount tracks the sky FAST: reshapes itself 3 Correlator atomic-clock timed VLA: 27 dishes · ALMA: 66 Ryle, aperture synthesis, 1974 Nobel 4 Hawaii Spain ALMA South Pole Event Horizon Telescope 1.3 mm · Earth-wide baseline M87* 2019 · Sgr A* 2022 ~20 microarcseconds 5
Fig 73 · Radio Astronomy. Anatomy of a radio dish, and the Earth-sized array that imaged a black hole
Chapter 74 · Part VIII

Hubble Space Telescope

The Hubble Space Telescope is a 2.4-metre Cassegrain reflector the size of a school bus, circling Earth a little over 500 kilometres up once every 95 minutes. Above the turbulent atmosphere it sees stars as sharp points, with resolution about a twentieth of an arcsecond, and it sees ultraviolet light that never reaches the ground. The idea came from the astrophysicist Lyman Spitzer, who argued for a large space telescope in 1946; NASA named the result after Edwin Hubble, who had shown the universe is expanding.

Space shuttle Discovery carried it aloft on 24 April 1990. Within weeks the first images were embarrassingly fuzzy. The primary mirror had been polished beautifully to the wrong shape: its edge was about 2.2 micrometres too flat, around a fiftieth of the width of a human hair. A testing instrument at the manufacturer, Perkin-Elmer, had a lens misplaced by about 1.3 millimetres. Because Hubble was built to be serviced, the fix came by hand. In December 1993 the crew of shuttle Endeavour installed COSTAR, a set of corrective mirrors, and a new camera, WFPC2, with the correction built in. The next images were stunning.

Astronauts visited five times in all, in 1993, 1997, 1999, 2002 and finally 2009, replacing gyroscopes, batteries and instruments so that the telescope today is far more capable than the one launched. Its current cameras and spectrographs, among them the Wide Field Camera 3 and the Cosmic Origins Spectrograph, cover the ultraviolet, visible and near-infrared.

Did you know? The Hubble Deep Field of 1995 pointed at a patch of sky that looked empty, about the size of a grain of sand held at arm's length, and found around 3,000 galaxies there.

The results reshaped astronomy. The Deep Field and its successor, the Ultra Deep Field of 2004 with around 10,000 galaxies, showed young galaxies billions of years back in time. Hubble's Key Project, led by Wendy Freedman, pinned the expansion rate of the universe to about 10 per cent by 2001. Supernova distances measured partly with Hubble supported the 1998 discovery that the expansion is accelerating. It watched fragments of comet Shoemaker-Levy 9 strike Jupiter in 1994, photographed the Pillars of Creation in the Eagle Nebula, M16, in 1995, and weighed black holes at the centres of galaxies. Data from Hubble have appeared in more than 21,000 peer-reviewed papers.

Age is catching up. Since 2024 Hubble has worked on a single gyroscope to save its ailing spares, which slows its pointing but keeps the science flowing, and its orbit is slowly decaying, with re-entry not expected before the 2030s. No shuttle remains to visit it. Yet after 36 years its images still define how most people picture the cosmos, and a telescope rescued by its own crews became the most celebrated scientific instrument of its age.

Hubble: 36 years from blurred start to sharpest sky 1990 – 2026 · five shuttle servicing missions 1990 1995 2000 2005 2010 2015 2020 2025 SM2 SM3A SM3B 21,000+ papers · 5 crewed visits · 2.4 m mirror · ~95 min orbit Along the way 1994 comet hits Jupiter 1995 Pillars of Creation 1998 expansion speeds up 2001 H0 to about 10% Built to be repaired, Hubble was rescued by hand and grew better with age. Launch 24 Apr 1990, STS-31 Discovery shuttle mirror 2.2 µm off 1 The fix Dec 1993, STS-61 COSTAR + WFPC2 sharp at last 2 Deep Field Dec 1995, 10 days ~3,000 galaxies UDF 2004: ~10,000 3 Last visit May 2009, STS-125 WFC3 + COS added no crew since 4 One-gyro mode since June 2024 spares held back re-entry: 2030s+ 5
Fig 74 · Hubble Space Telescope. From a flawed launch to five servicing missions and 36 years of discovery
Chapter 75 · Part VIII

James Webb Space Telescope

The James Webb Space Telescope is an infrared observatory built to see the first galaxies, the birth of stars and the air of other worlds. Its primary mirror is 6.5 metres across, nearly three times the diameter of Hubble's, made of 18 hexagonal segments of beryllium, a metal that is light and keeps its shape in deep cold. Each segment is coated with a layer of gold about 100 nanometres thick, around 48 grams of gold in all, because gold reflects infrared light superbly.

Infrared matters for two reasons. Light from the earliest galaxies has been stretched by the expansion of the universe, so ultraviolet and visible light emitted 13 billion years ago now arrives as infrared. Infrared also passes through the dust clouds where stars and planets form. But any warm object glows in infrared, including the telescope itself, so Webb must be cold. A sunshield of five layers of Kapton film, each thinner than a human hair and together about the size of a tennis court, keeps the Sun, Earth and Moon at bay. The sunny side can reach about 85 °C; the mirror side settles below minus 220 °C, and the MIRI instrument is chilled further, to under 7 kelvin, by a cryocooler.

Webb was a joint project of NASA, the European Space Agency and the Canadian Space Agency. It launched on an Ariane 5 rocket from Kourou in French Guiana on 25 December 2021. The rocket's accuracy was so good that Webb saved enough fuel for a working life of perhaps twenty years. Over the following weeks it unfolded itself in space and reached its orbit around the second Lagrange point, L2, about 1.5 million kilometres from Earth on the side away from the Sun, roughly four times the distance to the Moon.

Did you know? Engineers counted 344 single-point failures in Webb's launch and deployment, any one of which could have ended the mission. Every one went right.

Its four instruments, NIRCam, NIRSpec, MIRI and NIRISS, cover wavelengths from 0.6 to about 28 micrometres. The first full-colour images were released on 12 July 2022, led by a deep field of the galaxy cluster SMACS 0723. Since then Webb has found galaxies seen less than 300 million years after the Big Bang, such as JADES-GS-z14-0 in 2024, and more of them bright and early than many models expected. It detected carbon dioxide in the atmosphere of the hot giant WASP-39 b in 2022 and has probed the rocky worlds of TRAPPIST-1. A common myth calls Webb Hubble's replacement; in fact the two work side by side, Hubble in visible and ultraviolet light, Webb in the infrared.

Webb shows us the universe before our galaxy had grown up, and chemistry on worlds we will never visit. A gold flower parked in the cold beyond the Moon is now our deepest view of where we came from.

Webb: a gold mirror on a five-layer parasol isometric · not to scale · cold side up, warm side down Cold enough to see the heat of the first galaxies, 1.5 million km away. Bus + solar array power, pointing, radio warm side, faces Sun 1 Five-layer sunshield Kapton, tennis-court size hot ~85 °C, cold < −220 °C 2 Four instruments NIRCam · NIRSpec MIRI < 7 K · NIRISS 3 secondary Gold mirror 6.5 m · 18 segments beryllium, ~48 g gold 4 Orbit around L2 Sun Earth L2 1.5 million km not to scale 5
Fig 75 · James Webb Space Telescope. Webb's layered sunshield and gold mirror, seen in isometric cutaway at L2
Chapter 76 · Part VIII

Spectroscopy

Pass sunlight through a prism and it fans into a rainbow; look closely and the rainbow is crossed by hundreds of thin dark lines. Those lines are the most informative thing in astronomy. Spectroscopy, the splitting of light into its component wavelengths, tells astronomers what a star is made of, how hot it is, how fast it moves, how strong its magnetic field is and whether something unseen is tugging on it, all without touching it.

The physics is in the atom. Electrons in each element can only hold certain energies, so an atom absorbs or emits light only at particular wavelengths. Cool gas in front of a hot source removes those wavelengths, leaving dark absorption lines; hot, thin gas on its own glows at the same wavelengths as bright emission lines. Hydrogen's red line sits at 656.3 nanometres, sodium's yellow pair near 589. Each element has its own barcode, as distinctive as a fingerprint.

The story runs from Isaac Newton's prism experiments of 1666 to William Wollaston, who noticed a few dark lines in sunlight in 1802. In 1814 Joseph von Fraunhofer, a Bavarian glassmaker, mapped more than 500 of them and labelled the strongest with letters still used today. The key came in 1859, when Gustav Kirchhoff and Robert Bunsen in Heidelberg showed that each line matched an element heated in a flame: sodium, iron, calcium in the Sun. In 1864 William Huggins turned a spectroscope on the Cat's Eye Nebula, NGC 6543, and saw bright lines, proving some nebulae were glowing gas rather than unresolved stars. In 1925 Cecilia Payne showed that stars are made mostly of hydrogen and helium, overturning the belief that the Sun had Earth's composition.

Did you know? Helium was found in the Sun before it was found on Earth. A yellow line seen during the solar eclipse of 18 August 1868 matched no known element; William Ramsay isolated helium in a laboratory only in 1895.

Lines also measure motion. Light from an object moving away is stretched to longer, redder wavelengths, and from one approaching to shorter, bluer ones: the Doppler shift. HARPS in Chile measures stellar velocities to about a metre per second, slower than walking pace, and ESPRESSO on the Very Large Telescope does better still, which is how many exoplanets were found by the wobble they give their stars. George Ellery Hale used the splitting of lines in magnetic fields, the Zeeman effect, to discover in 1908 that sunspots are magnetic. Today the DESI instrument in Arizona takes 5,000 spectra at once, and Webb's NIRSpec reads the atmospheres of distant planets.

Nearly everything astronomers know about the composition, temperature and motion of the universe came through a slit and a grating. When you see the rainbow after a storm, you are looking at the same tool, waiting for someone to read its lines.

Inside a spectrograph: starlight becomes a barcode light path left to right · wavelengths in nanometres Each element signs the light with its own lines: chemistry from light-years away. star Telescope Slit one strip 1 Collimator parallel rays 2 Grating 1,000s of grooves/mm Camera + detector CCD or infrared array records the spectrum 3 400 nm 500 nm 600 nm 700 nm Ca H+K Hγ 434 Hβ 486 Mg 517 Na 589 Hα 656 4 redshift: whole pattern slides red, star moving away shift / wavelength = speed / light speed 5
Fig 76 · Spectroscopy. Inside a spectrograph: starlight split into a barcode of elements, heat and motion
Chapter 77 · Part VIII

Adaptive Optics

Stars twinkle because the air above us is never still. Pockets of warmer and cooler air bend light by slightly different amounts, so a flat wavefront from a star arrives at the ground crumpled, and its image dances and smears many times a second. Astronomers call this blur seeing. However large the mirror, a telescope on a good site rarely beats about half an arcsecond, which means that an 8-metre giant, capable in principle of dozens of times sharper views, is blurred to the sharpness of a 20-centimetre amateur telescope.

Adaptive optics undoes the damage in real time. Light from a bright star near the target is sent to a wavefront sensor, often a Shack–Hartmann design: a grid of tiny lenses, each forming a spot that shifts when the wavefront in its patch is tilted. A computer turns the pattern of shifts into a map of the distortion and commands a deformable mirror, a thin flexible surface pushed and pulled by hundreds or thousands of actuators, to take the opposite shape. The loop runs around a thousand times per second, faster than the atmosphere changes.

The American astronomer Horace Babcock proposed the idea in 1953, but the computing and mirrors were decades away. Much of the early development was secret, for imaging satellites, and was declassified in 1991. The first astronomical system, COME-ON, built by French teams with ESO, was tested in 1989 and went to work on ESO's 3.6-metre telescope at La Silla in Chile in 1990. Bright stars are rarely where you need them, so observatories make their own. A laser guide star is tuned to 589 nanometres, the colour that excites a thin layer of sodium atoms about 90 kilometres up, left there by meteors. The glowing spot acts as an artificial star anywhere in the sky. Keck began routine laser guide star observations in 2004; ESO's Very Large Telescope fires four lasers from one telescope.

Did you know? Planets twinkle less than stars, but not because they shine by reflected light. A planet shows a tiny disc rather than a point, so the shimmer from different parts of the disc averages out.

The prize was spectacular. Using adaptive optics on Keck and the VLT, the teams of Andrea Ghez and Reinhard Genzel tracked stars whipping around the centre of the Milky Way. One star, S2, completes an orbit every 16 years, passing within about 120 times the Earth–Sun distance of a mass of 4 million Suns packed into a tiny space. That proof of a supermassive black hole earned them the 2020 Nobel Prize in Physics. The ELT will build adaptive optics into the telescope itself: its fourth mirror, 2.4 metres across and only 2 millimetres thick, will be shaped by more than 5,000 actuators.

Adaptive optics gives ground telescopes images as sharp as those from space, at far larger apertures. The twinkle that inspired nursery rhymes turns out to be a problem that can be solved, a thousand times a second.

Adaptive optics: un-twinkling a star 1,000 times a second sky above the telescope · the correction loop inside it Sense, compute, bend, repeat: the ground sees as sharply as space. star flat wavefront telescope Babcock idea 1953 · COME-ON 1989 · Keck laser 2004 turbulent air, 0–20 km crumpled wavefront 1 sodium layer ~90 km 589 nm laser 2 Wavefront sensor Shack–Hartmann spots shift light 3 Real-time computer ~1,000 loops/s measures 4 beam in Deformable mirror 1,000s of actuators ELT M4: 5,000+ corrects Camera sharp star 5
Fig 77 · Adaptive Optics. The adaptive optics loop: guide star, wavefront sensor, computer and a flexing mirror
Chapter 78 · Part VIII

Hearing Spacetime

In 1916 Albert Einstein's general theory of relativity predicted that accelerating masses should send ripples through the fabric of space and time. These gravitational waves travel at the speed of light, stretching space in one direction and squeezing it in the other as they pass. Einstein doubted they could ever be measured. By the time a wave from even a violent cosmic event reaches Earth, it changes distances by roughly one part in a thousand billion billion.

The instrument that finally caught one is an interferometer. At each LIGO site, at Hanford in Washington State and Livingston in Louisiana, a laser beam is split and sent down two arms 4 kilometres long at right angles, inside the largest ultra-high vacuum systems on Earth. Mirrors at the ends bounce the light back and forth hundreds of times before the beams recombine. Normally they cancel out. When a gravitational wave passes, one arm grows as the other shrinks by a few thousandths of the width of a proton, and a flicker of light leaks through to the detector. Suspensions isolate the mirrors from the ground, and the two sites, 3,000 kilometres apart, must see the same signal within about 10 milliseconds.

On 14 September 2015 both detectors recorded a chirp lasting a fifth of a second: GW150914. Two black holes of about 36 and 29 solar masses, 1.3 billion light-years away, had spiralled together into one of about 62, turning three Suns' worth of mass into gravitational energy. The announcement in February 2016 made headlines worldwide, and in 2017 Rainer Weiss, Kip Thorne and Barry Barish shared the Nobel Prize in Physics for building LIGO. Indirect evidence had come earlier: the binary pulsar found by Russell Hulse and Joseph Taylor in 1974 loses energy exactly as relativity predicts.

Did you know? For a fraction of a second, the merger behind GW150914 radiated more power as gravitational waves than all the stars in the observable universe were putting out as light.

The detectors now work as a global network. Virgo, with 3-kilometre arms near Pisa in Italy, joined in 2017 and helped pinpoint the neutron-star collision GW170817; KAGRA, built underground in Japan's Kamioka mine with mirrors cooled to about 20 kelvin, has joined later observing runs. Comparing arrival times across sites narrows where a signal came from. By 2025 the LIGO–Virgo–KAGRA collaboration had reported hundreds of candidate mergers, including GW231123, a collision totalling about 225 solar masses. LIGO-India is planned, the Laser Interferometer Space Antenna, LISA, is being prepared by ESA for launch in the 2030s, and pulsar timing arrays such as NANOGrav reported evidence in 2023 for a slow background hum of waves.

For all of history, astronomy meant collecting light. Now we can also feel the universe shake. Every few days somewhere in the cosmos two dark objects collide, and a faint tremor passes through the planet, and through you, unnoticed.

Hearing spacetime: the global gravitational-wave network LIGO–Virgo–KAGRA · observing runs O1–O4, 2015–2025 Four ears are better than one: timing differences point to the source. LIGO–Virgo–KAGRA orchestrator · joint runs, shared data Joint alert stream sky map in minutes · telescopes chase the source 1 Hanford Washington, USA Laser + arms 4 km, vacuum ~280 bounces GW150914 14 Sept 2015 36 + 29 suns 2 Livingston Louisiana, USA Isolation quad pendulums quiet mirrors Twin check 3,000 km away ≤10 ms apart 3 Partners Europe + Japan Virgo 3 km, near Pisa joined 2017 KAGRA 3 km, Kamioka mirrors ~20 K 4 Next ears 2030s onward LIGO-India Maharashtra planned LISA ESA, 2030s 2.5 million km 5
Fig 78 · Hearing Spacetime. The LIGO–Virgo–KAGRA network: one collaboration, five detectors, one sky
Chapter 79 · Part VIII

Vera Rubin Observatory

On Cerro Pachón, a 2,682-metre peak in the Chilean Andes, a telescope is making a ten-year film of the entire southern sky. The Vera C. Rubin Observatory, funded by the US National Science Foundation and Department of Energy, is named after the astronomer whose measurements of how galaxies spin gave some of the strongest evidence for dark matter. Its project, the Legacy Survey of Space and Time, or LSST, will photograph the visible sky every few nights, around 800 times over a decade, and flag everything that moves, flickers or appears.

The design is built for speed and width. The Simonyi Survey Telescope has an 8.4-metre primary mirror cast in one piece with a 5-metre tertiary at its centre, plus a 3.4-metre secondary, a compact three-mirror layout that gives an unusually wide, sharp field. The whole telescope can swing to a new patch of sky in about five seconds. Each exposure covers about 9.6 square degrees, some 45 times the area of the full Moon.

At the focus sits the LSST Camera, built at the SLAC National Accelerator Laboratory in California: the largest digital camera ever made. It is roughly the size of a small car and weighs about 3 tonnes. Its front lens is 1.57 metres across, and its focal plane holds 189 science sensors totalling about 3,200 megapixels, cooled to around minus 100 °C to quiet their electronic noise. Six filters, from ultraviolet to near-infrared, slide into the light path by turns.

Did you know? Showing a single Rubin image at full resolution would take about 400 ultra-high-definition television screens.

Rubin released its first images on 23 June 2025, including the Trifid and Lagoon nebulae, M20 and M8, and a sweeping view of the Virgo Cluster of galaxies. In about ten hours of test observations it found more than 2,000 previously unknown asteroids. Once the survey is fully running, each night will produce around 20 terabytes of data, and software will compare every new image with a template of the same patch, sending out up to about ten million alerts a night within a minute or two. Community "brokers" such as ALeRCE, Fink and the UK's Lasair sort them so that other telescopes can chase the most interesting.

The catalogue promises around 20 billion galaxies and billions of stars, with motions and brightness changes tracked for each. Rubin is expected to find millions of asteroids, many thousands of near-Earth objects that could one day threaten our planet, distant Kuiper belt worlds, supernovae by the hundreds of thousands, and perhaps the hypothetical giant Planet Nine if it exists. It will also map dark matter by the subtle distortion of galaxy shapes. For the first time, the whole sky becomes a movie rather than a still, and anyone, anywhere, can watch it change.

Rubin Observatory: a wide eye and the largest camera ever built cutaway · not to scale · Cerro Pachón, Chile, 2,682 m Every few nights, the whole southern sky again: a ten-year film of change. Simonyi Survey Telescope M2 3.4 m M1 8.4 m M3 5 m light 1 Cryostat electronics, coolers L1 1.57 m L2 filter ×6 ~1.65 m wide · 3 m long · 3 t 2 189 CCDs in 21 rafts 3,200 megapixels −100 °C · 45 full Moons 3 Nightly data ~20 TB per night Difference images new minus template Alerts ~10 million a night ALeRCE · Fink · Lasair first images 23 June 2025 4
Fig 79 · Vera Rubin Observatory. Rubin's telescope and car-sized camera in cutaway, with its nightly flood of alerts
Chapter 80 · Part VIII

Observatories of Tomorrow

Telescopes take decades to plan and build, so the observatories of the 2030s already exist as steel, glass and spreadsheets. Most share a goal: see fainter, sharper and wider, across every messenger the universe sends, and above all, look closely at planets like our own.

In space, the next to fly is NASA's Nancy Grace Roman Space Telescope, named after the agency's first chief of astronomy, often called the mother of Hubble. Its mirror is 2.4 metres across, the same size as Hubble's, but its Wide Field Instrument, a 300-megapixel camera, sees an area of sky about 100 times larger at similar sharpness. Completed in 2025, it is set to launch no later than May 2027 for an orbit around L2. Roman will survey billions of galaxies to trace dark energy, find thousands of exoplanets by microlensing and test a coronagraph, a device that blocks a star's light so faint planets beside it can be seen. Europe's PLATO and Ariel missions, planned for launch in 2026 and 2029, will hunt Earth-like planets and analyse the atmospheres of about a thousand known ones.

On the ground, three giants lead. ESO's 39-metre Extremely Large Telescope in Chile is planned to see first light around the end of this decade, with instruments able to take spectra of rocky planets around the nearest stars. The 25-metre Giant Magellan Telescope is under construction at Las Campanas, while the 30-metre Thirty Meter Telescope still awaits a settled site. The Square Kilometre Array, with headquarters at Jodrell Bank in England, is building around 200 dishes in South Africa and more than 130,000 antennas in Western Australia; SKA-Low produced its first image in 2025.

Did you know? Nancy Grace Roman, the telescope's namesake, spent much of the 1960s and 1970s persuading Congress and astronomers that a large space telescope was worth building. That telescope became Hubble.

Further out, ESA's LISA, three spacecraft holding a laser triangle about 2.5 million kilometres on a side, is planned for launch around 2035 to hear merging supermassive black holes. Europe's Einstein Telescope and the US Cosmic Explorer would push gravitational-wave detection back towards the first stars. NASA's Habitable Worlds Observatory, recommended by the US decadal survey in 2021, aims for the 2040s: a space telescope of around 6 metres designed to photograph about 25 Earth-like planets directly and search their light for oxygen, water and methane. Seeing an Earth beside its star means suppressing glare about ten billion times brighter than the planet.

These instruments carry a single, ancient question into hardware: is anyone else out there, and how did all of this begin? If they work, a child born today may grow up knowing whether a planet in our neighbourhood breathes. The next great telescopes are already being built for the people who will ask what they found.

Observatories of tomorrow: the next twenty years of eyes planned dates, subject to change · space and ground 2026 2030 2035 2040 2045 GMT ET / CE Why it is hard Earth vs Sun: 1 to 10 billion in visible light, 0.1″ apart from 30 light-years away Is anyone out there? The hardware to ask is already being built. Roman by May 2027, NASA 2.4 m, 300 Mpx 100× Hubble's field 1 ELT ~2029, ESO, Chile 39 m mirror rocky-planet spectra 2 SKA late 2020s S. Africa + Australia 131,072 antennas 3 LISA ~2035, ESA 3 craft, lasers 2.5 million km arms 4 Habitable Worlds 2040s, NASA ~6 m space telescope ~25 Earths imaged 5
Fig 80 · Observatories of Tomorrow. The next generation of telescopes on a timeline, from Roman and the ELT to the 2040s
Part IX

Space Exploration

Rockets, rovers and footprints beyond Earth.

Chapter 81 · Part IX

The Rocket Equation

Every rocket works by throwing something away. Hot gas rushes out of the nozzle at a few kilometres a second and, by Newton's third law, the vehicle is shoved the other way. The catch is that the rocket must also carry, and accelerate, all the propellant it has not yet burned. In 1903 a Russian schoolteacher, Konstantin Tsiolkovsky, captured the consequence in a single line now called the rocket equation: the speed a rocket can gain equals its exhaust speed multiplied by the natural logarithm of its full mass divided by its empty mass.

That logarithm is the tyranny. To stay in low Earth orbit a craft must travel at about 7.8 kilometres a second, roughly 28,000 km/h, and on the way up it loses another 1.5 km/s or so to gravity and air drag, a total budget of around 9.4 km/s. A good kerosene engine exhausts at about 3 km/s. Put those numbers in and a single-stage rocket must weigh some 20 times its empty self at lift-off: about 95 per cent propellant, leaving a sliver for tanks, engines and cargo. Want twice the speed and the mass ratio does not double. It squares.

Staging is how engineers cheat. An empty tank is dead weight, so a rocket drops it and carries on as a smaller, lighter rocket. The Saturn V that launched the Apollo crews weighed about 2,900 tonnes on the pad. Its first stage burned more than 2,000 tonnes of kerosene and liquid oxygen in under three minutes, then fell into the Atlantic; two more stages followed. Of that whole mountain, only about 45 tonnes, the Apollo command, service and lunar modules, left Earth orbit for the Moon. A modern Falcon 9 puts around 4 per cent of its lift-off mass into low orbit when its booster is thrown away, and less when it is kept for landing.

Did you know? A British mathematician, William Moore, worked out the same relation for war rockets in 1813, ninety years before Tsiolkovsky, but nobody then imagined using it to leave the Earth.

We know the equation holds because it is simply conservation of momentum, and every launch since Robert Goddard's first liquid-fuelled rocket rose 12 metres over a Massachusetts farm in March 1926 has obeyed it. Hermann Oberth reached the same conclusions independently in Germany in 1923. The only other lever is exhaust speed. Hydrogen and oxygen engines such as the Space Shuttle's RS-25 reach about 4.4 km/s, and the ion engines on NASA's Dawn probe more than 30 km/s, though they push with the weight of a few sheets of paper.

The climb out of Earth's gravity well is the expensive part. From low orbit, a further 3.6 km/s or so sends a probe towards Mars, which is why Robert Heinlein called orbit halfway to anywhere in the solar system. Every satellite overhead and every footprint on the Moon is a negotiation with a logarithm.

The rocket equation: Saturn V, a mountain of propellant Apollo launch vehicle · heights to scale · isometric Launch Complex 39A 111 m Tsiolkovsky, 1903 Δv = ve × ln(m0 / mf) ve kerosene: about 3 km/s Δv to orbit: about 9.4 km/s so m0/mf: about 20 Staging cheats the maths: drop the empty tanks, and keep accelerating. S-IC first stage 5 × F-1 · kerosene + LOX 2,100 t burned in 160 s 1 S-II second stage 5 × J-2 · hydrogen + LOX 450 t burned in 6 min 2 S-IVB third stage 1 × J-2 · fires twice orbit, then to the Moon 3 Apollo spacecraft CSM + lunar module about 45 t to the Moon 4 Lift-off mass: 2,900 t S-IC propellant 71% S-II propellant 15% S-IVB propellant 4% tanks, engines 7% Apollo spacecraft 1.5% orbit 140 t · Moon 45 t 5
Fig 81 · The Rocket Equation. Saturn V in three stages: a mountain of propellant to send 45 tonnes to the Moon
Chapter 82 · Part IX

Sputnik to Apollo

On 4 October 1957 a polished metal ball 58 centimetres across rode a converted missile into orbit from the steppe of Kazakhstan. Sputnik 1 weighed 83.6 kilograms, circled the Earth every 96 minutes and did almost nothing but beep. That was enough. Radio amateurs around the world tuned in to its signal on 20 and 40 megahertz, and the Jodrell Bank radio telescope in Cheshire tracked its rocket stage. The Soviet chief designer Sergei Korolev, whose name was kept secret until his death, had started the space race.

The Soviet Union kept winning the early laps. The dog Laika flew a month after Sputnik; Luna 3 photographed the Moon's hidden far side in 1959; and on 12 April 1961 Yuri Gagarin made one orbit of the Earth in Vostok 1, a flight of 108 minutes. Gagarin ejected and landed by parachute, separately from his capsule, a detail officials kept quiet for years because record rules required a pilot to land with his craft. Valentina Tereshkova became the first woman in space in 1963, and Alexei Leonov made the first spacewalk in 1965.

The American reply was a deadline. Six weeks after Gagarin, John F. Kennedy asked Congress to land a man on the Moon and return him safely before the decade was out. NASA, created in 1958, used the two-person Gemini flights of 1965 and 1966 to rehearse rendezvous, docking and long stays in orbit. The cost in lives was real on both sides: the Apollo 1 fire killed three astronauts on the launch pad in January 1967, and Vladimir Komarov died when the parachute of Soyuz 1 failed that April.

Did you know? The Apollo guidance computer's fixed memory, about 72 kilobytes, was woven by hand at a Raytheon factory in Massachusetts, with copper wire threaded through or around tiny magnetic rings to store each bit.

Apollo 8 carried Frank Borman, Jim Lovell and Bill Anders around the Moon at Christmas 1968 and brought back the photograph Earthrise. On 20 July 1969 Neil Armstrong and Buzz Aldrin landed Apollo 11's lunar module Eagle on the Sea of Tranquillity while Michael Collins orbited above; an estimated 600 million people watched on television. Five more crews followed, one of which, Apollo 13, survived an explosion and never landed. When Eugene Cernan and the geologist Harrison Schmitt left the Taurus-Littrow valley in December 1972, twelve men had walked on the Moon.

How do we know they did? Apollo brought home 382 kilograms of rock whose chemistry and ages no Earth sample can mimic, and laboratories worldwide still study it. Laser reflectors left by Apollo 11, 14 and 15 still return pulses fired from observatories on Earth. No human has travelled beyond low orbit since 1972, so everyone younger than about 53 was born after the last footstep.

Sputnik to Apollo: fifteen years, two rivals 1957 – 1973 · Soviet firsts above the line, American below 1957 1959 1961 1963 1965 1967 1969 1971 1973 USSR USA Luna 3 · 1959 Tereshkova · 1963 Explorer 1 1958 · Van Allen Apollo 8 1968 · Earthrise N1: 4 failures Crewed flights, 1961–1972 USA: Mercury 6 · Gemini 10 · Apollo 11 USSR: Vostok 6 · Voskhod 2 · Soyuz 10 Soviet crewed Moon plan: cancelled From first beep to last footprint in fifteen years, and nobody has been back since. Sputnik 1 Oct 1957 · 83.6 kg 1 Gagarin Apr 1961 · 108 min Kennedy's goal May 1961 2 Leonov 1965 · spacewalk Gemini 1965–66 · 10 crews 3 Apollo 11 20 July 1969 4 Apollo 17 December 1972 6 landings · 12 moonwalkers 5
Fig 82 · Sputnik to Apollo. Fifteen years from a radio beep in orbit to the last footsteps on the Moon
Chapter 83 · Part IX

Robotic Pioneers

Humans have stood on one other world. Our machines have reached them all. Since Mariner 2 flew past Venus in December 1962, robotic probes have flown by, orbited or landed on every planet in the solar system, along with dwarf planets, moons, asteroids and comets. They travel for years on a few hundred watts, steered by navigators who aim them through gravity like snooker players, and they report home through the giant dishes of NASA's Deep Space Network at Goldstone in California, near Madrid and near Canberra.

Venus was the cruellest test. Its surface sits at around 465 °C under air 90 times as dense as ours, and early Soviet landers were crushed on the way down. In 1970 Venera 7 became the first craft to send data from the surface of another planet, and in 1982 Venera 13 survived for 127 minutes, long enough to return colour pictures of flat, orange-lit rock. Mars was gentler. Mariner 4's 22 grainy photographs in 1965 showed craters, not canals, and the twin Viking landers of 1976 tested Martian soil for life, an experiment whose ambiguous results are still argued over.

The outer planets demanded patience. Pioneer 10 crossed the asteroid belt to Jupiter in 1973, Galileo orbited the giant for eight years from 1995, and Juno has circled it since 2016. Cassini arrived at Saturn in 2004 and spent 13 years among its rings and moons, discovering geysers on Enceladus and lakes of liquid methane on Titan. In September 2017, low on fuel, it was steered into Saturn's atmosphere so it could never contaminate those moons.

Did you know? Europe's Huygens probe, carried by Cassini, landed on Titan on 14 January 2005 and kept transmitting from the surface for over an hour; it remains the most distant landing ever made.

Smaller bodies brought the boldest manoeuvres. ESA's Rosetta matched orbits with comet 67P/Churyumov-Gerasimenko in 2014, dropped the lander Philae, which bounced twice before settling in a shadowed crevice, and rode alongside the comet around the Sun for two years. NASA's New Horizons flew past Pluto on 14 July 2015, nine and a half years after launch, revealing a vast heart-shaped plain of nitrogen ice called Sputnik Planitia, then went on to the snowman-shaped Arrokoth in 2019.

How do we know what they found? Every image arrives as a faint radio whisper, which large antennas collect and engineers decode, while precise tracking of each probe's signal also measures the gravity of the worlds it passes. These scouts are cheaper than crews, can go where people cannot survive, and keep working for decades. Most of what this book says about the planets, they told us first.

Robotic pioneers: a postcard from every world the solar system with its first visitors · distances not to scale Sun Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune Pluto Also: Mariner 10, MESSENGER at Mercury · Galileo, Juno at Jupiter Voyager 2, the only visitor to Uranus (1986) and Neptune (1989) Every planet has had a robot visitor; most of what we know, they saw first. Venera 7 and 13 1970 · 1982 · Venus 465 °C, 90 bar 1 Viking 1 and 2 1976 · Mars landers first tests for life 2 Cassini–Huygens 2004–2017 · Saturn Titan landing 2005 3 Rosetta, Philae 2014–2016 · 67P first comet landing 4 New Horizons 14 July 2015 · Pluto Arrokoth, 2019 5
Fig 83 · Robotic Pioneers. Every planet, plus a comet and Pluto, now carries the mark of a visiting robot
Chapter 84 · Part IX

The Voyagers

In the late 1970s the outer planets lined up in a way that happens only about once every 175 years, letting a single spacecraft swing from Jupiter to Saturn to Uranus to Neptune, each planet's gravity flinging it on to the next. A young engineer at NASA's Jet Propulsion Laboratory, Gary Flandro, had spotted the alignment in 1965. NASA built two identical probes to use it. Voyager 2 launched on 20 August 1977 and Voyager 1, on a faster path, on 5 September.

Each is a ten-sided box about the size of a small car, topped by a 3.7-metre high-gain antenna and powered by three radioisotope thermoelectric generators, which turn the heat of decaying plutonium-238 into about 470 watts at launch. Voyager 1 passed Jupiter in March 1979, finding active volcanoes on the moon Io, and Saturn in November 1980, where a close look at Titan bent its path up out of the plane of the planets. Voyager 2 took the long road. It remains the only spacecraft to visit Uranus, in 1986, and Neptune, in 1989, where it photographed the Great Dark Spot and nitrogen geysers on the moon Triton.

On 14 February 1990, at Carl Sagan's urging, Voyager 1 turned its camera back and photographed Earth from about 6 billion kilometres away: the Pale Blue Dot, a speck less than a pixel wide caught in a sunbeam. Then the cameras were switched off for good to save power.

Did you know? Each Voyager carries a gold-plated copper record with greetings in 55 languages, 115 encoded images, whale song and 90 minutes of music, from Bach to Chuck Berry, with a stylus and instructions for playing it.

A popular myth says Voyager 1 has left the solar system. It has left the heliosphere, the bubble blown by the solar wind, crossing the boundary called the heliopause in August 2012 at about 121 times the Earth-Sun distance; Voyager 2 followed in November 2018. We know because their plasma instruments measured a sudden jump in the density of the surrounding gas. But both remain within the Sun's gravitational realm, and Voyager 1 will need around 300 years to reach the inner Oort Cloud and perhaps 30,000 to cross it.

Voyager 1 is now more than 25 billion kilometres away, so a command at the speed of light takes nearly a day to arrive and the reply another day to return. Its transmitter puts out about 23 watts, and the 70-metre dishes of the Deep Space Network catch a signal far weaker than a billionth of a billionth of a watt. The plutonium loses about 4 watts a year, so engineers switch instruments off one by one; in 2024 they rescued Voyager 1 from a failed memory chip by rewriting its code from across the void. When they finally fall silent, the two probes will drift on for billions of years, our longest-lived message.

Voyager: anatomy of an interstellar probe one of two identical craft · launched 1977 · about 720 kg 13 m magnetometer boom bus 10-sided bus computers, radios Earth: 70 m DSN dishes 0 AU 50 AU 100 AU 150 AU Sun Neptune Built for a four-year tour, still talking to Earth after nearly fifty. High-gain antenna 3.7 m dish · X-band about 160 bit/s 1 Plutonium power 3 RTGs · plutonium-238 470 W in 1977, falling 2 Science boom cameras, spectrometers Pale Blue Dot, 1990 3 Golden Record 55 languages · images 90 min of music 4 heliopause 121 AU V2 V1, 25 bn km 5
Fig 84 · The Voyagers. Voyager: a 3.7-metre dish, plutonium power and a golden record, now in interstellar space
Chapter 85 · Part IX

Mars Rovers

Landing on Mars is notoriously hard; roughly half of all attempts have failed. Driving on it is harder still, because the planet is between 3 and 22 light-minutes away, too far for anyone to steer a rover live. Every move is planned a day ahead by engineers on Earth and carried out by a robot that must look after itself. In three decades these machines have turned Mars from a red light in the sky into a world with mapped valleys, drilled rocks and a weather forecast.

The first was Sojourner, a 10.6-kilogram rover the size of a microwave oven that rolled off the Mars Pathfinder lander, which touched down on 4 July 1997, and explored about 100 metres of an ancient flood plain over 83 days. In January 2004 the golf-cart-sized twins Spirit and Opportunity bounced down on airbags on opposite sides of the planet. Built for 90 days, Spirit worked for six years. Opportunity lasted more than 14, driving 45.2 kilometres, more than a marathon, and finding tiny haematite spheres nicknamed blueberries that formed in groundwater, before a global dust storm smothered its solar panels in 2018.

Did you know? Spirit's and Opportunity's solar panels were repeatedly wiped clean by passing Martian whirlwinds, called dust devils, which was one reason they outlived their 90-day design life many times over.

The next rovers were too heavy for airbags. Curiosity, the size of a small car at 899 kilograms and powered by plutonium, was lowered on cables by a hovering rocket stage called the sky crane into Gale crater on 6 August 2012. It found that the crater once held a long-lived lake with the chemical ingredients life would need, and has been climbing the layered slopes of Mount Sharp ever since. Its near-twin Perseverance landed in Jezero crater, an ancient river delta, on 18 February 2021. It carries 43 sample tubes and has been sealing cores of rock to be collected one day; ten were deliberately left in a depot on the crater floor as a backup.

Perseverance also brought Ingenuity, a 1.8-kilogram helicopter that in April 2021 made the first powered, controlled flight on another planet, in air about one per cent as dense as Earth's. Planned for five flights, it made 72 before a damaged rotor grounded it in January 2024. China's Zhurong rover, landed in May 2021, made China the second nation to drive on Mars.

How do we know what the rocks say? Rovers carry their own laboratories: Curiosity's ChemCam zaps rocks with a laser and reads the flash, and its drill feeds powder to ovens that sniff out organic molecules. In 2024 Perseverance found a rock nicknamed Cheyava Falls with leopard-spot markings that could hint at ancient microbes, or at chemistry alone. Bringing samples home is the only way to be sure, and the plan for doing so remains uncertain. For now, our robot geologists keep rolling, a few hundred metres at a time.

Mars rovers to scale: from a microwave to a car side views · 1 m = 44 px · masses on Earth 1 m Landing: airbags in 1997 and 2004, the rocket sky crane in 2012 and 2021 Zhurong, China's 240 kg rover, joined them in Utopia Planitia in 2021 adult, 1.8 m Mars: 3 to 22 light-minutes away drives planned a day ahead Each generation grew heavier, bolder and longer-lived than its builders planned. Sojourner 10.6 kg 1997 Ares Vallis 1 Spirit + Opp. 185 kg each 2004 · solar Opp: 45.2 km 2 Curiosity 899 kg 2012 · Gale plutonium 3 Perseverance 1,025 kg 2021 · Jezero 43 tubes 4 Ingenuity 1.8 kg 72 flights 2021–2024 5
Fig 85 · Mars Rovers. Five NASA rovers to scale, from 10.6-kilogram Sojourner to one-tonne Perseverance
Chapter 86 · Part IX

The ISS

Look up on a clear evening at the right moment and a bright, steady light glides across the sky in a few minutes without blinking, outshining every star. That is the International Space Station, a laboratory about 109 metres across, roughly the span of a football pitch, and weighing some 420 tonnes. It orbits about 400 kilometres up at around 28,000 km/h, circling the Earth every 92 minutes, so its crew sees 16 sunrises and 16 sunsets a day.

It was built in orbit, piece by piece. The Russian-built Zarya module launched in November 1998 and the American node Unity joined it a fortnight later. More than 40 assembly flights followed, many by the Space Shuttle, and astronauts bolted on trusses, solar arrays and laboratories during hundreds of hours of spacewalks. On 2 November 2000 the first resident crew, Bill Shepherd, Yuri Gidzenko and Sergei Krikalev, moved in. People have lived there ever since, which means an entire generation has never known a day without humans off the planet.

The station is a partnership of five agencies: NASA, Russia's Roscosmos, the European Space Agency, Japan's JAXA and the Canadian Space Agency. Europe supplied the Columbus laboratory and the seven-windowed Cupola; Japan built Kibo, the largest single module; Canada provided Canadarm2, the 17.6-metre robotic arm that catches visiting cargo ships. More than 280 people from over 20 countries have been aboard, ferried by Soyuz capsules, the Shuttle and, since 2020, SpaceX's Crew Dragon.

Did you know? The station recycles almost all of its water, including the crew's sweat and urine; in 2023 its life-support system reached 98 per cent recovery, the target needed for long journeys to Mars.

A common myth says astronauts float because there is no gravity up there. In fact gravity at the station's height is about 90 per cent as strong as on the ground. The crew float because the station and everyone in it are falling around the Earth together, always missing it, a state called free fall. That makes the ISS a unique laboratory. We know from years of careful measurement that long stays thin weight-bearing bones by around 1 per cent a month and change the shape of the eye; NASA's twin study compared Scott Kelly, after his 340 days aboard in 2015 and 2016, with his brother Mark on the ground. Other experiments grow crystals, study flames that burn as spheres and hunt cosmic antimatter with the Alpha Magnetic Spectrometer.

The station is ageing, and its partners plan to retire it around 2030, when a SpaceX-built deorbit vehicle will steer it into a remote stretch of the South Pacific. Commercial stations are being designed to replace it. Until then, it remains the easiest spacecraft in history to see for yourself: check a pass prediction, step outside and wave.

The ISS as a team: five agencies, one station International Space Station since 2 Nov 2000 · 420 t · 400 km Visiting ships Soyuz · Progress · Crew Dragon · Cargo Dragon · Cygnus No single nation could have built it; together they have kept it crewed for 25 years. NASA Destiny 2001 · US lab science racks Solar arrays 109 m truss 8 wings 1 Roscosmos Zarya 1998 · first power, storage Zvezda 2000 crew quarters 2 ESA Columbus 2008 · lab life sciences Cupola 2010 · dome 7 windows 3 JAXA Kibo 2008–2009 largest module HTV freighter 2009–2020 9 cargo runs 4 CSA Canadarm2 2001 · 17.6 m catches ships Dextre 2008 · hands fine repairs 5
Fig 86 · The ISS. Five space agencies, one station: who built which part of the ISS
Chapter 87 · Part IX

Sample Returns

A spacecraft can carry only a few kilograms of instruments, chosen years before launch. A laboratory on Earth has electron microscopes, mass spectrometers and particle accelerators that weigh tonnes, and it gets better every decade. That is the case for sample return: fly out, grab a piece of another world, and bring it home where the best tools in the world can study it, and keep studying it long after the mission ends.

The first great haul came by hand. Between 1969 and 1972 six Apollo crews collected 382 kilograms of lunar rock, soil and core. Those samples showed the Moon was once covered in a magma ocean and is about as old as the Earth, evidence for the idea that it formed from debris after a giant impact. The Soviet Union managed the first robotic return in 1970, when Luna 16 drilled out 101 grams of soil and fired it home in a small capsule; Luna 20 and Luna 24 followed. NASA's Stardust then caught dust from comet Wild 2 in a block of ultra-light aerogel, landing in Utah in 2006, and Japan's Hayabusa returned tiny grains of asteroid Itokawa in 2010.

Did you know? Some Apollo 17 samples were sealed in 1972 and left unopened for half a century; NASA opened a vacuum-sealed tube in 2022 so scientists could use instruments that did not exist in the 1970s.

The new era is one of asteroids and the Moon's hidden face. Japan's Hayabusa2 fired a copper projectile into asteroid Ryugu to expose fresh material and dropped 5.4 grams into the Australian outback in December 2020. NASA's OSIRIS-REx touched asteroid Bennu for about six seconds in October 2020, blasting loose rubble with a puff of nitrogen, and its capsule hit the atmosphere at about 44,500 km/h before parachuting into the Utah desert on 24 September 2023. Two stuck fasteners kept part of the canister shut for months, but curators at NASA's Johnson Space Center eventually weighed out 121.6 grams. China's Chang'e 5 returned 1.73 kilograms of young volcanic rock from the Moon's near side in 2020, and in June 2024 Chang'e 6 brought back about 1.9 kilograms from the far side, a first.

How do we know the samples are clean? They are opened in sealed cabinets filled with pure nitrogen, handled with tools of stainless steel and Teflon, and split among teams around the world, with much kept back for the future. The rewards are already large. Bennu's dust contains 14 of the 20 amino acids that build proteins on Earth, all five of the bases used in DNA and RNA, and salts left by evaporating brine, ingredients for life delivered by asteroids to the early planets.

Next come China's Tianwen-2, launched in 2025 towards a small near-Earth asteroid, and long-planned missions to bring back rock from Mars and its moon Phobos. Every grain that comes home is a question we can keep asking, with better tools, for generations.

Sample return: Bennu to the laboratory NASA's OSIRIS-REx, 2020 – 2023 · below, every haul so far (log scale) Bennu Earth Returned to Earth 1 g 1 kg 1 t Apollo, 1969–72 382 kg Chang'e 6, 2024 1.9 kg Chang'e 5, 2020 1.7 kg Luna 16, 20, 24 326 g OSIRIS-REx, 2023 121.6 g Hayabusa2, 2020 5.4 g A probe carries kilograms of instruments; a laboratory on Earth has tonnes, and decades. Touch and go 20 Oct 2020 6 s of contact 1 Cruise home May 2021 – 2023 over 2 years 2 Re-entry 24 Sep 2023 44,500 km/h 3 Clean room Houston 121.6 g weighed 4 Labs worldwide amino acids 5
Fig 87 · Sample Returns. How OSIRIS-REx brought 121.6 grams of asteroid Bennu from orbit to the laboratory
Chapter 88 · Part IX

Return to the Moon

Apollo went to the Moon to win a race and stopped once it had. Artemis, named after Apollo's twin sister in Greek myth, aims to go back to stay. NASA leads the programme with partners in Europe, Canada and Japan, and with private companies building landers, rovers and supply ships. Its target is not the flat equatorial plains Apollo chose, but the rugged region around the lunar south pole.

The rocket is the Space Launch System, 98 metres tall and producing about 39 meganewtons of thrust at lift-off, carrying the Orion capsule. Orion's power and propulsion come from a European Service Module built for ESA by Airbus in Bremen. On Artemis I, launched in November 2022, an uncrewed Orion spent 25 days in space, looping into a distant orbit around the Moon and travelling about 432,000 kilometres from Earth, farther than any spacecraft built for people had gone. Inspectors later found that its heat shield had shed chunks of charred material on re-entry, so NASA changed the angle of descent for the next flight.

That next flight, Artemis II, carried Reid Wiseman, Victor Glover, Christina Koch and Canada's Jeremy Hansen around the Moon on a ten-day free-return path in April 2026: the first crew beyond low Earth orbit since Apollo 17. Glover became the first person of colour, Koch the first woman and Hansen the first non-American to make the trip. A landing comes next, using a commercial lander, SpaceX's Starship or Blue Origin's Blue Moon, that will meet Orion in a looping high orbit and carry astronauts down to the surface.

Did you know? In 2009 NASA deliberately crashed a spent rocket stage into Cabeus crater near the south pole; the plume, watched by the LCROSS probe, contained about 5 per cent water by mass.

Why the pole? Because the Moon's axis is barely tilted, the Sun there skims the horizon, so some crater floors have not seen sunlight for perhaps billions of years. NASA's Lunar Reconnaissance Orbiter has measured temperatures below minus 230 °C in these permanently shadowed regions, cold enough to trap water ice for aeons, and India's Chandrayaan missions found evidence for it. Ice can be melted for drinking, split into oxygen to breathe and hydrogen for rocket fuel. Nearby ridges, such as the rim of Shackleton crater, are lit for most of the year, ideal for solar power.

Artemis has rivals and company. China plans its own crewed landing by 2030 and, with Russia, a research station later, while India's Chandrayaan-3 set down near the south polar region in 2023. More than 50 nations have signed the Artemis Accords, principles for peaceful exploration and sharing data. When people next walk on the Moon, they will be standing at the frontier of a permanent human presence beyond Earth.

Artemis: back to the Moon, step by step flight paths sketched · Earth–Moon distance 384,400 km, not to scale Earth Moon about 3 days each way Apollo left flags and footprints; Artemis is aiming for a doorstep. SLS and Orion 98 m · pad 39B ESA service module 1 Artemis I, 2022 uncrewed · 25 days 432,000 km out 2 Artemis II, 2026 4 crew · 10 days free-return loop 3 halo orbit Lander rendezvous Starship HLS or Blue Moon 4 South pole: ice in the dark Shackleton floors below −230 °C 5
Fig 88 · Return to the Moon. Artemis step by step: an uncrewed test, a crewed flyby, then a landing near the south pole
Chapter 89 · Part IX

The Commercial Space Age

For half a century a rocket was a disposable object. Each booster, engines and all, flew once and fell into the sea. That changed on 21 December 2015, when the first stage of a Falcon 9 came back to Cape Canaveral and landed upright on its legs ten minutes after launching 11 satellites. In March 2017 a used booster flew again. Today single Falcon 9 first stages have flown more than 25 times, landing on concrete pads or on drone ships in the ocean, and the nose-cone fairings are fished out and reused too.

The shift began with NASA itself. From 2006 the agency stopped designing all its own vehicles and began buying services, paying private companies to deliver cargo, and later crews, to the ISS. SpaceX's Dragon became the first commercial spacecraft to visit the station in 2012, and in May 2020 Crew Dragon carried Doug Hurley and Bob Behnken there, the first astronauts launched from American soil since the Shuttle retired in 2011. Private crews followed: Inspiration4 orbited the Earth with four civilians in 2021, and Polaris Dawn made the first commercial spacewalk in 2024.

The numbers tell the story. Around 2010 the world managed about 75 orbital launches a year, almost all by governments. In 2024 it attempted about 260, and more than half were Falcon 9s. Rocket Lab launches small satellites from New Zealand, China's private firms are flying their own rockets, and Blue Origin's New Glenn reached orbit in 2025. The company Intuitive Machines made the first commercial Moon landing in 2024, and Firefly's Blue Ghost the first fully successful one in 2025. SpaceX's Starship, the largest rocket ever flown, is designed to be fully reusable; in October 2024 its Super Heavy booster was caught in mid-air by the arms of its launch tower.

Did you know? The first Falcon 9 booster ever to land was never flown again; it now stands upright on display outside SpaceX's headquarters in Hawthorne, California.

Cheap launches filled the sky. There are now more than 10,000 working satellites in orbit, most of them in megaconstellations such as SpaceX's Starlink, which beams internet to remote villages, ships and war zones. Astronomers pay a price. Sunlit satellites streak across long-exposure images, and survey telescopes such as the Vera C. Rubin Observatory must flag and remove the trails; radio astronomers have detected stray emissions from the satellites' electronics. Operators now add dark coatings and sunshades, and the International Astronomical Union's centre for dark and quiet skies negotiates with industry over brightness limits.

The prize is access. Universities, small nations and start-ups can now fly experiments that once needed a superpower, and fully reusable rockets could make journeys to the Moon and Mars routine. The challenge is to share a sky that belongs to everyone, including whoever is looking up tonight.

The commercial space age: launches per year, to scale orbital launch attempts worldwide · column height = launches · isometric 50 Rockets that land and fly again turned a trickle of launches into a stream. 2010 Around 2010 about 75 governments 1 2015 First landing 21 Dec 2015 Falcon 9 2 2020 Crews, Starlink about 114 Crew Dragon 3 2024 2024 about 260 half Falcon 9 others SpaceX 134 4 satellite trails Crowded sky over 10,000 working satellites 5
Fig 89 · The Commercial Space Age. Orbital launches per year to scale, and the reusable boosters that made the climb possible
Chapter 90 · Part IX

Where Next?

The next half-century of exploration has a map, and it runs along two lines. One leads outwards for people: from the Moon, as a rehearsal, to Mars, as the great goal. The other leads inwards for robots, beneath the ice of moons where liquid water may still support life today. Each is very hard. None, any longer, is science fiction.

The Moon comes first because it is close: three days away, with help only a radio second distant. NASA's Artemis programme and China's plans for crewed landings by 2030 both point to bases near the lunar south pole, where ice could provide water, oxygen and fuel. Mars is another matter. The planets line up for an efficient journey only every 26 months, so a crew would spend six to nine months each way and wait more than a year on the surface for the next window home: a round trip of about three years. Curiosity's radiation detector showed that the journey alone would expose astronauts to roughly 0.66 sieverts, hundreds of times a typical annual dose on Earth. No one has yet landed anything on Mars heavier than about a tonne; a crewed landing needs tens of tonnes. Perseverance's small MOXIE experiment did show that oxygen can be made from Martian air.

The robots are heading for oceans. Europa, a moon of Jupiter, hides a salty ocean beneath an ice shell perhaps 15 to 25 kilometres thick, holding about twice as much water as all Earth's seas. NASA's Europa Clipper, the largest planetary spacecraft it has built, launched in October 2024 and reaches Jupiter in 2030 to make dozens of close flybys. Europe's JUICE, launched in 2023, arrives in 2031 to study Europa, Callisto and Ganymede, which it will orbit. NASA's Dragonfly, a car-sized drone, is planned to launch in 2028 and fly between dunes and craters on Saturn's moon Titan from 2034.

Did you know? Saturn's moon Enceladus sprays its ocean into space through cracks near its south pole, so a spacecraft can taste an alien sea simply by flying through the plume.

Enceladus may be the best bet of all. Only about 500 kilometres wide, it vents water vapour and ice grains from its ocean, and Cassini flew through the plumes repeatedly between 2005 and 2015. Its instruments found salt, silica grains that point to hot water reacting with rock, molecular hydrogen and phosphorus, a key ingredient of DNA. On Earth, such hydrothermal vents teem with microbes. ESA is studying an orbiter and lander to return there in the 2040s.

No one knows which path will pay off first: footprints on Mars or a microbe in an icy sea. Either would answer questions people have asked for as long as they have looked up. The next chapters belong to the explorers, human and robotic, who are already on their way.

Where next? Five destinations, two ambitions positions are judgements, not measurements · people go left, robots go right travel time from Earth days months years more chance of life less the ocean moons proving grounds Venus Psyche, 2029 Footprints on Mars or a microbe in an icy sea: either would change everything. The Moon 3 days away south pole bases 1 Mars 7 months each way 3-year round trip 2 Titan methane lakes Dragonfly, 2034 3 Europa Clipper 2030 JUICE 2031 4 Enceladus ocean in plumes 5
Fig 90 · Where Next?. Five destinations plotted by travel time and by the chance of finding life
Part X

The Frontier

Where astronomy is heading, and its open questions.

Chapter 91 · Part X

Multi-Messenger Astronomy

For almost all of history, astronomy meant one thing: catching light. Every star chart, photograph and spectrum was built from photons, from radio waves to gamma rays. Light is a superb messenger, but it is easily absorbed by dust, scattered by gas and blocked entirely by the dense hearts of exploding stars. Multi-messenger astronomy adds three other carriers, each of which slips past those barriers and tells a different part of the story.

The first is the neutrino, a ghostly particle with almost no mass that passes through a light-year of lead with a fair chance of not hitting anything. On 23 February 1987 detectors in Japan, the United States and Russia caught about two dozen neutrinos from Supernova 1987A in the Large Magellanic Cloud, around three hours before its light brightened. They had escaped straight from the collapsing core while the light was still fighting its way out. Today IceCube at the South Pole watches a cubic kilometre of Antarctic ice through 5,160 light sensors strung up to 2.5 kilometres deep. In 2017 it traced a high-energy neutrino to the flaring blazar TXS 0506+056, and in 2022 to the active galaxy NGC 1068, 47 million light-years away.

The second is the gravitational wave, a ripple in spacetime itself. LIGO first heard one on 14 September 2015 from two black holes, of about 36 and 29 Suns, merging 1.3 billion light-years away. Together with Virgo in Italy and KAGRA in Japan, the network has now logged hundreds of mergers. Gravitational waves pass through matter almost untouched, so they report on events that emit little or no light at all.

The third is the cosmic ray, a charged nucleus moving close to light speed. Victor Hess discovered them in 1912 by carrying an electrometer up in a balloon and finding the air more ionised with height. In 1991 the Fly's Eye detector in Utah recorded the Oh-My-God particle, a single proton or nucleus carrying about 3 × 10²⁰ electronvolts, the energy of a well-hit tennis ball. Because magnetic fields bend charged particles, cosmic rays arrive with their directions scrambled; the Pierre Auger Observatory spreads 1,600 water tanks across 3,000 square kilometres of Argentina to catch the rare giants.

Did you know? IceCube's sensors sit in ice so clear and so dark that a flash of blue light from a single neutrino collision can be seen more than a hundred metres away.

The power lies in combining them. A neutrino says a cosmic accelerator is real; a gravitational wave weighs the objects; light shows where it happened and what was made. Each messenger corrects the blind spots of the others. For us, looking up, the night sky has stopped being a silent picture and become a conversation in four languages.

Four messengers: who listens for each one multi-messenger astronomy · detectors by messenger One cosmic event orchestrator · a merger, a blast, a jet Combine the messages light says where · waves weigh the bodies · particles name the engine Each messenger fills the blind spots of the others. Light photons, radio to γ JWST infrared, 6.5 m at L2 since 2022 Fermi gamma rays, 2008 burst alerts 1 Ripples gravitational waves LIGO 2 × 4 km arms, USA first: Sep 2015 Virgo · KAGRA Italy · Japan fix the sky spot 2 Neutrinos ghost particles IceCube 1 km³ of polar ice 5,160 sensors Super-Kamiokande 50,000 t of water Kamioka, Japan 3 Cosmic rays charged nuclei Pierre Auger 3,000 km², Argentina 1,600 water tanks Telescope Array Utah, USA Amaterasu, 2021 4
Fig 91 · Multi-Messenger Astronomy. Four messengers from one sky: light, gravitational waves, neutrinos and cosmic rays
Chapter 92 · Part X

The Kilonova Moment

At 12:41 universal time on 17 August 2017, the two LIGO detectors in Washington and Louisiana registered a rising chirp that lasted about 100 seconds. Unlike the short bursts from black holes, this one swept slowly upward in pitch, the signature of two lighter objects, each around 1.2 to 1.6 times the mass of the Sun, spiralling together at a third of the speed of light. They were neutron stars, city-sized cinders of dead stars, and the event became GW170817.

Just 1.7 seconds after the merger, NASA's Fermi satellite and ESA's INTEGRAL caught a short flash of gamma rays from the same patch of sky. Virgo, in Italy, had seen only a faint signal, and that weakness itself helped narrow the search area to about 28 square degrees. Telescopes across the planet swung round. Some 11 hours later the one-metre Swope telescope at Las Campanas in Chile found a new point of light in the galaxy NGC 4993, about 130 million light-years away in Hydra.

What followed was a kilonova, an explosion about a thousand times brighter than an ordinary nova, predicted by Li-Xin Li and Bohdan Paczyński in 1998. It glowed blue for a day or two, then faded to red as heavier atoms in the debris blocked the bluer light. Chandra detected X-rays nine days after the merger, and radio telescopes such as the Very Large Array picked up the slower jet after about 16 days. Around 70 observatories took part, and the summary paper carried some 3,500 authors.

Did you know? The gamma rays and the gravitational waves raced each other for 130 million years and arrived 1.7 seconds apart, showing that gravity travels at the speed of light to better than one part in a thousand million million.

The spectra told the chemistry. Debris flung out at up to a third of light speed was rich in neutrons, and atomic nuclei swallowed them so quickly that they built the heaviest elements through the r-process. In 2019 astronomers identified strontium in the glow. Estimates suggest a few per cent of a solar mass of heavy elements was made, perhaps several Earth masses of gold and platinum among them, making neutron-star collisions a leading source of the gold in the universe.

The event did more. It killed a whole family of alternative theories of gravity that predicted different speeds for light and gravitational waves, and it gave a first standard-siren measurement of the expansion rate, around 70 kilometres a second per megaparsec. No neutrinos were seen, so it was a two-messenger event rather than four, but the template was set. Somewhere in that wreckage was metal like the gold in a wedding ring.

GW170817: seventeen days that opened a new astronomy 17 Aug 2017 · NGC 4993 · 130 million ly · time on a log scale 0 s +1.7 s +11 h +3 d +9 d +16 d −100 s about 70 observatories · some 3,500 authors · no neutrinos seen Gravity and light raced for 130 million years and tied. The chirp LIGO + Virgo ~100 s rising tone merger 12:41 UTC 1 Gamma-ray burst GRB 170817A Fermi + INTEGRAL 1.7 s after merger 2 New light: SSS17a Swope 1 m, Chile NGC 4993, Hydra ~11 h after 3 Kilonova r-process debris blue · day 1 fading · day 3 red · day 7 4 X-rays, then radio Chandra: day 9 VLA radio: day 16 a jet breaks out 5
Fig 92 · The Kilonova Moment. GW170817: from spacetime chirp to golden afterglow in seventeen days
Chapter 93 · Part X

Hunting Dark Matter

Galaxies spin too fast, clusters hold together too tightly and light bends too strongly for the matter we can see. Fritz Zwicky noticed the problem in the Coma Cluster in 1933; Vera Rubin and Kent Ford made it unavoidable in the 1970s with the flat rotation curves of spiral galaxies. The Planck satellite's map of the cosmic microwave background now gives the budget precisely: dark matter outweighs ordinary atoms by about five to one. What it is made of remains unknown, and finding out is one of the great hunts in science.

The leading suspect for decades was the WIMP, a weakly interacting massive particle perhaps tens to thousands of times heavier than a proton. If WIMPs fill our galaxy, hundreds of millions could pass through your body each second, and very occasionally one should bump an atomic nucleus. Direct-detection experiments wait for that bump. The most sensitive is LZ (LUX-ZEPLIN), 1,480 metres underground at the Sanford Underground Research Facility in South Dakota, in an old gold mine. It holds about ten tonnes of liquid xenon chilled to around minus 100 degrees Celsius, seven tonnes of it an active target, inside a tank of ultrapure water and a jacket of liquid scintillator that tags stray neutrons.

A collision would produce a tiny flash of light and a few freed electrons, drifted upwards by an electric field to make a second flash. The pattern of the two flashes reveals where and how the xenon was struck. LZ, XENONnT beneath Gran Sasso in Italy and PandaX-4T in China's Jinping mine have so far seen nothing beyond expected backgrounds, ruling out a large share of the simplest WIMP models. In 2024 XENONnT and PandaX-4T began detecting neutrinos from the Sun's core knocking xenon nuclei, the first glimpse of the neutrino fog that will eventually limit every detector of this kind.

Did you know? The CUORE experiment, a neighbour of the dark-matter hunters at Gran Sasso, is shielded with lead from a Roman ship that sank off Sardinia some 2,000 years ago, because its radioactivity has long since decayed.

So the hunt is widening. The axion, proposed in the late 1970s to fix a puzzle in the strong nuclear force and named by Frank Wilczek after a laundry detergent, could be billions of times lighter than an electron, behaving more like a wave than a particle. ADMX at the University of Washington tunes a microwave cavity inside a powerful magnet, listening for axions turning into radio photons. Others look for primordial black holes or sterile neutrinos, and a minority argue that gravity itself needs modifying. Meanwhile Euclid and the Rubin Observatory map dark matter's pull across billions of galaxies through weak gravitational lensing.

Each empty result is a measurement, not a failure, and it narrows the space where the answer can hide. Most of the matter around you right now is something no instrument has ever caught.

Inside LZ: a mile down, waiting for one nudge LUX-ZEPLIN · Sanford Lab, South Dakota · exploded view, not to scale Every silence is a measurement: it narrows where dark matter can hide. 1,480 m of rock old gold mine blocks cosmic rays 1 Water tank ultrapure water stops rock neutrons 2 Outer detector liquid scintillator vetoes neutrons 3 Liquid xenon 7 t active target about −100 °C 4 Two flashes per event S2: electrons drift up, glow S1: recoil flash of light Two suspects WIMP heavy, rare bumps nuclei LZ · XENONnT PandaX-4T Axion ultra-light wave-like ADMX cavity in a magnet 2024: solar neutrinos seen, the 'neutrino fog' begins 5
Fig 93 · Hunting Dark Matter. The LZ detector: seven tonnes of liquid xenon waiting a mile underground for one nudge
Chapter 94 · Part X

The Hubble Tension

The Hubble constant, written H₀, says how fast the universe is expanding today. It is not a speed but a rate: for every megaparsec of distance, about 3.26 million light-years, galaxies recede a certain number of kilometres a second faster. Edwin Hubble's first estimate in 1929 was about 500. By the 2010s two very different methods had narrowed it to within a few per cent, and they disagreed. That stubborn gap is the Hubble tension.

The first route starts in the infant universe. The cosmic microwave background, light released 380,000 years after the Big Bang, carries a pattern of hot and cold spots whose size acts as a cosmic ruler. Feed the map from ESA's Planck satellite into the standard model of cosmology, with its dark matter and dark energy, and the expansion rate today comes out at 67.4 kilometres a second per megaparsec, with an uncertainty of under one per cent. Ground-based telescopes such as the Atacama Cosmology Telescope and the South Pole Telescope independently agree.

The second route climbs the distance ladder. Parallax, refined by the Gaia mission, fixes the distances to nearby Cepheid stars, whose pulsation periods reveal their true brightness, as Henrietta Swan Leavitt discovered in 1912. Cepheids then calibrate Type Ia supernovae in nearby galaxies, and the supernovae reach far enough to measure the expansion directly. Adam Riess's SH0ES team finds about 73, with an uncertainty near one kilometre a second. The difference of 8 to 9 per cent now exceeds five sigma, a level physicists treat as ruling out chance.

Did you know? A galaxy 100 megaparsecs away recedes about 560 kilometres a second faster under the local value than under the early-universe value, fast enough to cross the Atlantic in ten seconds.

Could it be a mistake? JWST was built partly to check. Its sharp infrared images separate Cepheids from crowded neighbouring stars, and Riess's team found the Hubble measurements held up. Wendy Freedman's group, using different stars as markers, such as the tip of the red giant branch, gets about 70, closer to the middle and with larger error bars. Other routes, including time delays in gravitationally lensed quasars and the gravitational waves from colliding neutron stars, have not yet broken the deadlock.

If the tension is real, something is missing from the cosmic recipe. Proposals include a burst of early dark energy before the afterglow was released, extra types of neutrino-like particles, or dark energy that changes over time, a possibility the DESI galaxy survey has hinted at since 2024. Each would shift the age of the universe by hundreds of millions of years. The universe's speedometer is giving two readings, and one of them is telling us something new.

The Hubble tension: two roads, two answers H₀ in km/s per megaparsec · bars show quoted uncertainty 64 66 68 70 72 74 76 78 expansion rate today, H₀ Either a hidden error, or a missing ingredient in the cosmos. Planck, CMB 2018 · 67.4 ± 0.5 DESI BAO + BBN 2024 · 68.5 ± 0.6 early universe 1 SH0ES ladder 2022 · 73.0 ± 1.0 Gaia parallax Cepheids Type Ia SNe H₀ ≈ 73 2 Freedman, JWST red giants · ≈ 70 ± 2 GW170817 siren 2017 · 70, broad Lensed quasars H0LiCOW · 73.3 ± 1.8 3 gap ≈ 8–9% · over 5σ 4
Fig 94 · The Hubble Tension. Two routes to the expansion rate, about 67 and 73, and neither will budge
Chapter 95 · Part X

JWST's Impossible Galaxies

Before the James Webb Space Telescope began science with its 6.5-metre gold mirror in July 2022, most models predicted it would find the first galaxies as faint, scrappy smudges. Instead it found too many, too bright and too early. Within weeks, candidates appeared that seemed to have formed stars at a furious pace only a few hundred million years after the Big Bang, and the press began calling them universe breakers.

Seeing them depends on redshift. As the universe expands, light travelling through it is stretched. A galaxy at redshift 14 sends ultraviolet light that arrives stretched fifteen times, deep into the infrared, which is exactly why JWST was built to see infrared from its cold post 1.5 million kilometres from Earth. Colour tricks in NIRCam images flag candidates; then the NIRSpec spectrograph confirms the distance by finding spectral breaks or emission lines.

The records have tumbled. Hubble's best, GN-z11, sat at redshift 10.6, about 430 million years after the Big Bang. In 2024 the JADES survey confirmed JADES-GS-z14-0 at redshift 14.32, about 290 million years after the beginning, and ALMA later detected oxygen in it, meaning earlier generations of stars had already lived and died. In 2025 a team led by Rohan Naidu confirmed MoM-z14 at redshift 14.44, around 280 million years after the Big Bang. Both are surprisingly luminous and compact, from a few hundred to under two thousand light-years across.

Did you know? JWST also found the little red dots, compact red objects common in the first billion years, many of which appear to hide growing black holes, and astronomers are still arguing about what they are.

The puzzle is abundance. Counting bright galaxies at redshifts above 10 gives several times more than many pre-launch simulations expected. Some of the most extreme early claims, such as six apparently enormous galaxies reported by Ivo Labbé and colleagues in 2023, were later trimmed, as accreting black holes or bursts of young stars could mimic a large mass. But the overabundance of bright young galaxies has survived spectroscopy.

The explanations being tested are mostly ordinary physics working harder than expected: gas turning into stars more efficiently before supernova winds can stop it, stellar populations weighted towards massive stars, little dust to dim them, or brief bursts that make some galaxies briefly dazzling. More radical ideas, from tweaked dark matter to primordial black holes as seeds, sit at the edges. The popular claim that JWST disproved the Big Bang is wrong; what it challenges is how quickly the first galaxies grew. The earliest light we can catch left these galaxies before the Earth, the Sun or even most elements existed, and it is still rewriting the opening chapter.

Cosmic dawn as JWST sees it: bright too soon cosmic time in millions of years after the Big Bang · linear 0 200 400 600 800 1000 z 20 z 14 z 10 z 7 The Big Bang stands; what changes is how fast the first galaxies grew. Dark ages afterglow at 0.38 Myr first stars by ~100–200 Myr 1 Beyond redshift 14 MoM-z14 · z 14.44 ~280 Myr · 2025 JADES-GS-z14-0 · z 14.32 ~290 Myr · 2024 2 GN-z11 z 10.6 · ~430 Myr Hubble record, 2016 JWST: active black hole Little red dots compact, dusty-red many hide growing black holes 3 Bright galaxies above z 10 pre-launch models JWST counts: × several Universe breakers Labbé and team, 2023 z 7.4–9.1 · ~500–700 Myr later trimmed by AGN 4 Revised models efficient star birth · bursts top-heavy stars · little dust 5
Fig 95 · JWST's Impossible Galaxies. Cosmic dawn as JWST sees it: bright galaxies under 300 million years after the Big Bang
Chapter 96 · Part X

The Sky as a Movie

Most of astronomy's great images are still photographs: one patch of sky, exposed for hours, frozen. Yet the universe is restless. Stars flare, supernovae erupt and fade over weeks, asteroids drift across the starfields and black holes tear apart passing stars. The Legacy Survey of Space and Time, run by the Vera C. Rubin Observatory on Cerro Pachón in Chile, is built to turn the sky into a film, shooting the whole southern sky every few nights for ten years.

The method is relentless repetition. The 8.4-metre Simonyi Survey Telescope takes an exposure of around 30 seconds with the 3,200-megapixel LSST Camera, covering 9.6 square degrees, about 45 full Moons, then slews to the next field in a few seconds. Over a decade each field will be revisited around 800 times in six colour filters. Software then performs difference imaging: it subtracts a deep template of that patch from the fresh frame, so that anything new, brighter, fainter or moved stands out as a residual.

Each residual becomes an alert, a small packet of data with position, brightness, a postage-stamp image and history, sent out within about a minute of the exposure. On a busy night there may be up to ten million. No human could read them, so they flow to community brokers such as ALeRCE in Chile, Fink in France and Lasair in the UK, which use machine learning to sort a likely supernova from a variable star or a passing asteroid, and pass the rare and urgent ones to telescopes that can take a spectrum. Rubin produces some 20 terabytes of raw data a night, processed at SLAC in California with partners in France and the United Kingdom.

Did you know? In its first public images in June 2025, from roughly ten hours of test observations, Rubin found 2,104 previously unknown asteroids, including seven near-Earth objects.

Earlier surveys showed the value of the method. The Zwicky Transient Facility at Palomar has issued alerts since 2018 and caught thousands of supernovae, while Pan-STARRS and the Catalina Sky Survey find most of the near-Earth asteroids we know. Rubin goes deeper and wider. Over its decade it is expected to detect millions of supernovae, map millions of asteroids, several times the current census, and catalogue roughly 20 billion galaxies and 17 billion stars. The rarest prizes, such as the next kilonova or a star being swallowed by a black hole, will be found because the camera was already looking.

The survey also changes who discovers what. Alerts are public in real time, so a student with a laptop can spot an oddity as fast as a major observatory. The sky has always moved; now it comes with a frame counter.

One Rubin night: from shutter to the world in a minute Legacy Survey of Space and Time · Cerro Pachón, Chile · per exposure Telescope Simonyi 8.4 m Pipeline subtraction Alert stream public, live Brokers ML sorting Follow-up spectra 0 s ~30 s ~60 s minutes hours Up to ten million alerts a night, open to anyone with a laptop. Expose 30 s 3,200 MP camera 9.6 deg² field 1 slew and settle in seconds Subtract new − template keep the residual 2 new − old = what changed Alert ≤ 60 s · public up to 10 M a night 3 position · brightness cut-out · history ~20 TB a night Classify ALeRCE · Fink Lasair · ANTARES 4 supernova variable star asteroid Spectrum Gemini · SOAR confirm the type 5 spectrum within hours
Fig 96 · The Sky as a Movie. One Rubin night: from a 30-second exposure to a worldwide alert in about a minute
Chapter 97 · Part X

Interstellar Visitors

Every comet and asteroid ever catalogued before 2017 belonged to the Sun, looping on closed orbits however long. Then, on 19 October 2017, Robert Weryk spotted something in images from the Pan-STARRS1 telescope on Haleakalā in Hawaii that was moving far too fast to be bound. Its path was a hyperbola, with an eccentricity of about 1.2, and it had entered the solar system at about 26 kilometres a second. It was named 1I/'Oumuamua, Hawaiian for a scout or messenger from afar.

'Oumuamua was already leaving when it was found, having swept past the Sun inside Mercury's orbit in September. It was small, perhaps a hundred to a few hundred metres long, and its light varied tenfold every few hours, suggesting an elongated or flattened shape. It showed no visible tail, yet it accelerated slightly away from the Sun, as comets do when gas jets off them. Explanations include outgassing of hydrogen or other invisible gases; the suggestion that it was an alien light sail found little support among astronomers.

The second visitor removed any doubt that such objects are natural. On 30 August 2019 the amateur astronomer Gennadiy Borisov, using a telescope he built himself in Crimea, found 2I/Borisov. It was unmistakably a comet, with a bright coma and tail, travelling at about 32 kilometres a second on a strongly hyperbolic path. Hubble and other telescopes found it unusually rich in carbon monoxide, hinting that it formed in a colder environment than most of the Sun's comets.

Did you know? The third visitor passed within about 30 million kilometres of Mars in October 2025, and spacecraft orbiting the planet turned their cameras to photograph a comet from another star.

That visitor, 3I/ATLAS, was found on 1 July 2025 by the ATLAS survey telescope at Río Hurtado in Chile. It is the fastest yet, about 58 kilometres a second before the Sun's pull, with an eccentricity above six. Its speed and direction suggest it comes from the Milky Way's thick disc, where stars are old, and some estimates put it at seven billion years or more, older than the Sun. It reached its closest point to the Sun at the end of October 2025, just inside the orbit of Mars, and showed a coma rich in carbon dioxide.

Each visitor is a free sample of another planetary system, delivered after a journey of millions or billions of years. Statistics from these finds suggest that at any moment thousands of 'Oumuamua-sized strangers lie within the orbit of Neptune, most far too faint to see. The Rubin Observatory should find them far more often, and ESA's Comet Interceptor, planned for launch around 2029, will wait in space ready to fly out to the next one. The neighbourhood, it turns out, has passing traffic.

Three strangers on open roads through the solar system inner solar system from above · orbits schematic, not to scale Jupiter Earth Mars Sun Each is a free sample of another star's planets, posted to our door. 'Oumuamua · 2017 1I · Pan-STARRS e ≈ 1.2 · 26 km/s no tail, slight push 1 1I Borisov · 2019 2I · amateur, Crimea e ≈ 3.4 · 32 km/s a true comet, CO-rich 2 2I 3I/ATLAS · 2025 ATLAS, Chile e ≈ 6.1 · 58 km/s maybe 7+ billion yr 3 3I 0 1 2 3 4 5 6 7 bound: e < 1 open, unbound: e > 1 4 Next visitors Rubin: maybe 1+ a year Comet Interceptor ~2029 5
Fig 97 · Interstellar Visitors. Three strangers on open paths through the solar system, 2017, 2019 and 2025
Chapter 98 · Part X

The Biggest Questions

Astronomy's scoreboard is humbling. Atoms, everything in every star, planet and person, make up about 5 per cent of the universe's contents. Dark matter accounts for about 27 per cent and dark energy, the unknown something that has been accelerating cosmic expansion for five billion years, for about 68. The best-tested theory of the cosmos, confirmed to percent-level precision by Planck and others, rests on two ingredients nobody has identified. That is not failure. A century ago no one knew other galaxies existed; Edwin Hubble settled that only in 1924 by finding Cepheid stars in the Andromeda Nebula.

The dark universe is the first great question, and it is now an engineering problem. ESA's Euclid, launched in 2023, the Rubin Observatory and NASA's Nancy Grace Roman Space Telescope, planned for launch by 2027, will map billions of galaxies to test whether dark energy is truly constant, as Einstein's cosmological constant would be, or changing, as the DESI survey has hinted.

The second is origins. Why is there something rather than nothing? The Big Bang should have made matter and antimatter in equal amounts, yet for every billion pairs that annihilated, about one extra particle of matter survived, and that remnant became everything we see. Inflation, a brief burst of expansion in the first fraction of a second, explains why the universe is so smooth and flat, but it is not proven. Its clearest signature would be a faint twist in the polarisation of the microwave background; a claimed detection by BICEP2 in 2014 turned out to be galactic dust, and the search continues. Whether there was any before at all remains open.

Did you know? The equations of general relativity predict their own breakdown: at the centre of a black hole and at the first instant of the Big Bang they give infinite density, which most physicists read as a sign that a deeper theory is missing.

That deeper theory is the third question. Quantum mechanics and general relativity each pass every test thrown at them, yet they refuse to combine. Black holes are where the conflict bites, since Stephen Hawking showed in 1974 that they should slowly evaporate, raising the puzzle of what happens to the information that fell in.

The fourth is the most human: are we alone? It too has become experimental. JWST is sniffing exoplanet atmospheres, though claims of life-linked gases on K2-18b remain strongly contested. Europa Clipper is due at Jupiter in 2030 to study an ocean moon, and the Habitable Worlds Observatory is being designed for the 2040s to image Earth-like planets directly. The biggest questions have not been answered, but they have been made precise, and a precise question is the first half of an answer.

What we know we don't know astronomy's open questions · each with the test that could settle it The unknown 95 per cent and the questions it raises 5% atoms 27% dark matter 68% dark energy 1924: other galaxies proven · 2126: questions nobody has asked yet A precise question is the first half of an answer. Dark universe what is it made of? Dark matter? WIMPs or axions LZ · ADMX · Euclid Dark energy? constant or not DESI · Rubin · Roman 1 Origins the first instant Matter wins 1 extra in a billion antimatter puzzle Inflation? a twist in the CMB B-mode searches 2 Quantum gravity GR meets quantum Black holes Hawking, 1974 where does info go? Before the Bang? infinite density a deeper theory 3 Are we alone? now an experiment Exoplanet air JWST spectra K2-18b: contested Ocean moons Europa Clipper arrives 2030 4
Fig 98 · The Biggest Questions. Astronomy's open questions, each sharpened into something a telescope can test
Chapter 99 · Part X

Everyone's Sky

Astronomy is one of the last sciences where an amateur can still make a discovery that matters. The sky is too big for professionals to watch alone, the equipment needed to see something new has never been cheaper, and the data from the world's great observatories increasingly belongs to everyone. The result is a working partnership that stretches from back gardens to the largest telescopes on Earth.

Amateurs still find things first. In August 2023 the Japanese amateur Hideo Nishimura discovered a comet, C/2023 P1, on camera images he had taken himself, weeks before it brightened near the Sun. In May 2023 Koichi Itagaki, another Japanese amateur with dozens of finds, spotted SN 2023ixf in the Pinwheel Galaxy, M101, the closest core-collapse supernova in a decade. Gennadiy Borisov built the telescope that caught the second interstellar visitor. Thomas Bopp, co-discoverer of Comet Hale-Bopp in 1995, was observing with a friend's homemade telescope in the Arizona desert.

Others contribute by looking at data. Galaxy Zoo, launched in 2007 by Chris Lintott and Kevin Schawinski at Oxford, asked the public to classify a million galaxy images from the Sloan Digital Sky Survey. More than 150,000 people took part in the first year and made over 50 million classifications, and it grew into the Zooniverse, a platform for hundreds of research projects. Volunteers on Planet Hunters flagged the strange dimming of Boyajian's Star in 2015, and others found the compact starburst galaxies known as Green Peas.

Did you know? Hanny's Voorwerp, a glowing green cloud the size of a galaxy, was spotted in 2007 by Dutch schoolteacher Hanny van Arkel; it shines because a quasar in the neighbouring galaxy IC 2497 lit it up and has since faded.

Long-term watching matters too. The American Association of Variable Star Observers, founded in 1911, holds tens of millions of brightness estimates of variable stars, many from amateurs. Amateur video has caught asteroids and comet fragments hitting Jupiter, and timing of stars blinking out behind asteroids maps their shapes. Much of the professional data is now open: Gaia's catalogues of nearly two billion stars are free to download, Hubble and JWST data typically become public after about a year, and Rubin's alerts go out to the world in real time.

The threat is the sky itself fading. Studies suggest more than a third of humanity can no longer see the Milky Way from home because of artificial light, and growing satellite constellations streak across long exposures. Dark-sky reserves and careful lighting help. The sky belongs to no one, which means it belongs to everyone who bothers to look up.

Everyone's sky: the citizen-astronomy loop how back gardens and browsers feed real discoveries Citizen astronomy public + pros Fading skies 1 in 3 can't see the Milky Way The sky belongs to no one, so it belongs to everyone who looks up. Look up Nishimura's comet SN 2023ixf, Itagaki 1 Record AAVSO, since 1911 tens of millions of logs 2 Share Minor Planet Center Zooniverse, 2007 on 3 Follow up Hanny's Voorwerp Hubble takes a look 4 Discover together open data: Gaia, JWST Rubin alerts, live 5
Fig 99 · Everyone's Sky. How amateurs and volunteers still make discoveries: the citizen-astronomy loop
Chapter 100 · Part X

We Are Star-Stuff

Every atom in your body has a history older than the Earth. The hydrogen in your water was made in the first few minutes after the Big Bang, 13.8 billion years ago. Nearly everything else, the carbon in your cells, the oxygen you breathe, the calcium in your bones and the iron in your blood, was forged inside stars that lived and died before the Sun was born. Carl Sagan put it plainly in his 1980 series Cosmos: we are made of star-stuff.

Take a body of 70 kilograms. About 65 per cent of its mass is oxygen, 18 per cent carbon, 10 per cent hydrogen, 3 per cent nitrogen, with calcium and phosphorus making up most of the rest. By number of atoms, hydrogen wins easily, about six atoms in every ten. The whole body contains around seven thousand trillion trillion atoms, and each one can be traced to a cosmic source.

Each element has its own forge. Hydrogen and most helium came from the Big Bang itself. Carbon and nitrogen come largely from ordinary, Sun-like stars late in life, swelling as red giants and puffing their outer layers into space. Oxygen, calcium and phosphorus come mostly from massive stars that burn fast and end as core-collapse supernovae. About half the iron in you came from Type Ia supernovae, the thermonuclear destruction of white dwarfs. The rarest heavy elements, such as the iodine your thyroid needs and the gold in a ring, were built by rapid neutron capture in events like the kilonova of 2017.

Did you know? Before Cecilia Payne showed in her 1925 thesis that the Sun is mostly hydrogen, astronomers assumed stars were made of much the same mix as the Earth.

We know this from spectroscopy and nuclear physics together. In 1957 Margaret and Geoffrey Burbidge, William Fowler and Fred Hoyle set out how stars build the elements, in a paper so famous it is known by their initials, B²FH. Since then the chemistry of millions of stars has been measured, from the Sloan surveys to Gaia, and radioactive isotopes such as aluminium-26 in meteorites show that the cloud that formed the Sun was seeded by recent stellar deaths. Astronomer Jennifer Johnson's periodic table of cosmic origins now colours every element by the stars that made it.

That is the thesis of astronomy, a hundred chapters on. It is not the study of distant things. It is matter, gathered from the ashes of many generations of stars, organised into eyes and minds, turning around to ask where it came from. Every telescope ever built is the universe opening an eye, and every person who looks up is part of what they see.

Where your atoms were made a 70 kg body by mass · blocks stacked by cosmic origin 0% 50% 100% iron, iodine and gold slabs enlarged Every person who looks up is part of what they see. Hydrogen · 10% Big Bang, first minutes 6 in 10 of your atoms 1 Carbon, nitrogen · 21% ageing Sun-like stars shed by red giants 2 Oxygen · 65% massive stars core-collapse supernovae 3 Calcium, phosphorus bones · supernovae Iron · about 4 g half from Type Ia exploding white dwarfs 4 Iodine, gold · traces neutron-star mergers r-process, as in 2017 5
Fig 100 · We Are Star-Stuff. Your body by mass, stacked by where its atoms were made
Astronomy · First Edition, October 2026
100 chapters · 10 parts · one hundred diagrams
by Mat Siems · The Visual Encyclopaedia, No. 5 · 2026