Newton's Clock: Chaos in the solar system
The book follows a more or less chronological path, starting with the early ideas of the Greeks and finishing with the recent use of powerful computers to follow the behaviour of the solar system. However it is possible to read the chapters independently if required. In particular those on the behaviour of the moon, the gaps in the asteroid belt, and the tumbling of Saturn's satellite Hyperion would be useful to a reader requiring information on a particular subject. I think it's better to read the whole book though, as this shows how the problem of the stability of the solar system just refuses to go away.