Books  Physical Sciences  Cosmology & Astronomy 

The Ballet of the Planets: On the Mathematical Elegance of Planetary Motion

By: Donald C Benson(Author)

178 pages, 60 b/w illustrations

Oxford University Press USA

Hardback | Jun 2012 | #200096 | ISBN-13: 9780199891009
Availability: Usually dispatched within 6 days Details
NHBS Price: £25.99 $33/€28 approx

About this book

The Ballet of the Planets unravels the beautiful mystery of planetary motion, revealing how our understanding of astronomy evolved from Archimedes and Ptolemy to Copernicus, Kepler, and Newton. Mathematician Donald Benson shows that ancient theories of planetary motion were based on the assumptions that the Earth was the center of the universe and the planets moved in a uniform circular motion. Since ancient astronomers noted that occasionally a planet would exhibit retrograde motion – would seem to reverse its direction and move briefly westward – they concluded that the planets moved in epicyclic curves, circles with smaller interior loops, similar to the patterns of a child's Spirograph. With the coming of the Copernican revolution, the retrograde motion was seen to be apparent rather than real, leading to the idea that the planets moved in ellipses. This laid the ground for Newton's great achievement – integrating the concepts of astronomy and mechanics – which revealed not only how the planets moved, but also why. Throughout, Benson focuses on naked-eye astronomy, which makes it easy for the novice to grasp the work of these pioneers of astronomy.



1 The Survival of the Valid

I. Birth
2 The Bowl of Night
3 Epicycles and Relative Motion
4 The Deferent-Epicycle Model
5 Making Money, Et Cetera

II Rebirth
6 The Reluctant Revolutionary
7 Circles No More
8 The War with Mars

III Enlightenment
9 The Birth of Mechanics
10 The Astronomical Alchemist

A. The Greek Alphabet
B. Vectors


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Donald C. Benson is Emeritus Professor of Mathematics at the University of California, Davis, and the author of A Smoother Pebble and The Moment of Proof.

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