Chapter I
The Shape of the Milky Way
In 1785 William Herschel, who had discovered Uranus four years earlier, set out to map the shape of the Milky Way. With his sister Caroline he counted stars in hundreds of directions and concluded that the Sun sits near the middle of a flattened disc of stars. The flattening was right. The central position was an illusion. Interstellar dust dims distant stars in every direction, so the Herschels, like everyone for the next 130 years, could see only the Sun's neighbourhood.
Chapter II
Measuring Distance
The breakthrough was a way to measure great distances. At Harvard, Henrietta Swan Leavitt, a deaf astronomer paid as a "computer", studied variable stars in the Small Magellanic Cloud. Because they were all at about the same distance, their relative brightness was their true relative brightness, and in 1912 she found that the brighter Cepheid variables pulsate more slowly. Once one Cepheid's distance was measured, the period of any other would give its distance.
Harlow Shapley used such stars in 1918 to measure the distances of globular clusters, and found them centred on a point far off in Sagittarius. That, he argued, was the centre of the galaxy, and the Sun lay far out in its disc. In 1920 he debated Heber Curtis over whether the spiral nebulae were distant galaxies. Shapley thought not. In 1923 Edwin Hubble found a Cepheid in the Andromeda nebula, and its period put Andromeda far outside the Milky Way. The universe was full of galaxies, and ours was one of them. Hubble's next step, galaxies receding, belongs to physical cosmology.
Chapter III
Rotation and Missing Mass
In 1927 Jan Oort confirmed Bertil Lindblad's idea that the Milky Way rotates. Spectroscopy measures how fast stars move towards or away from us, and the pattern matched a disc whose inner parts orbit faster than its outer parts. In the 1970s Vera Rubin and Kent Ford measured rotation far out in other spiral galaxies, where the visible stars thin out. The speeds did not fall off as they should if the visible matter were all there is. Galaxies are embedded in halos of unseen mass, several times more than the stars.
Chapter IV
A Closer Look: Weighing the Black Hole at the Centre
Kepler's third law gives the mass of a central body from the orbit of anything circling it. With the orbit's semi-major axis in astronomical units (the Earth–Sun distance) and the period in years, the central mass in solar masses is
For the Earth, and , giving : the Sun.
The star S2 orbits the Milky Way's centre with a period of about 16.05 years, and its orbit, tracked for more than two decades by Reinhard Genzel's and Andrea Ghez's teams, has a semi-major axis of about 1,030 AU. So
That is over four million Suns in a region smaller than S2's orbit, where it comes within about 120 AU of the centre, about four times Neptune's distance from the Sun. Nothing but a black hole can be that massive, that small and that dark.
The same law weighs the whole galaxy. The Sun orbits the centre at about 230 km/s, at a distance of about 27,000 light-years. For a circular orbit, , which gives about solar masses inside the Sun's orbit. One lap takes about 220 million years. Since the Sun formed, it has gone round about twenty times.
Chapter V
Galaxies and Their Centres
Almost every large galaxy turns out to have a supermassive black hole at its centre, and the mass of the black hole tracks the mass of the galaxy's central bulge, which suggests that they grew together. How the first of them became so massive, so soon after the Big Bang, is unknown. The dark matter that holds galaxies together is one of the largest open questions in physics, and it is followed up in physical cosmology.