A Modern Almagest

Ptolemy Today

The ancient science of the sky, retold with modern diagrams

The sky appears to move as a sphere

Early humans likely arrived at this idea by watching the sky carefully over time. They noticed that the sun, moon, and stars all travel from east to west along circular paths, and that these paths run parallel to one another. Each star rises up from below the horizon, climbs gradually higher, continues along its arc, and descends until it sinks back into the earth and vanishes. After some time out of sight, it rises again in the same place it rose before and repeats its journey. The timing of these motions, and the points where each star rises and sets, remain reliably the same from one daily cycle to the next.

Figure 1 — The sky as a sphere, viewed from an observer at mid-latitude. Stars near the pole stay above the horizon; stars farther from the pole rise, cross the sky, and set.

What first suggested that the sky is shaped like a sphere was the behaviour of the stars that never set (the ones that, from a certain place, are visible all night, every night). These are called circumpolar stars. They move in circles, and every one of those circles shares the same centre. This central point is the pole of rotation of the sky. Stars close to the pole move in a tight circle around it. Stars further away move in wider and wider circles. But some stars appear so far from the pole that, when they move in their circle, they go below the horizon and become invisible for part of the night. Among the stars that do set, some are hidden only briefly, while others stay below the horizon for much longer, in proportion to how far they are from the pole. The circular movement of stars around the pole is easily noticeable if you watch a specific star or constellation at night over a matter of minutes.

This is how the concept of a celestial sphere first took shape. Once the idea was there, every further observation confirmed it, and every alternative explanation failed to fit what people actually see. It became quickly obvious for people who travelled that some stars are always visible at night in some parts of the world but not in others: those same stars do dip below the horizon in other places. Similarly, some stars that rise and set in one part of the world never rise at all in others; they remain permanently below the horizon. No flat or disc-shaped sky could account for this.

Several other lines of argument (from the behaviour of sundials, from the apparent motion of the sun through the year, from the geometry of eclipses) all point to the same conclusion. Each of these will be explored in the chapters that follow.