The development of man's understanding of planetary motions is the
crown jewel of Newtonian mechanics. This book offers a concise but
self-contained handbook-length treatment of this historically
important topic for students at about the third-year-level of an
undergraduate physics curriculum. After opening with a review of
Kepler's three laws of planetary motion, it proceeds to analyze the
general dynamics of 'central force' orbits in spherical
coordinates, how elliptical orbits satisfy Newton's gravitational
law, and how the geometry of ellipses relates to physical
quantities, such as energy and momentum. Exercises are provided,
and derivations are set up in such a way that readers can gain
analytic practice by filling in the missing steps. A brief
bibliography lists sources for readers who wish to pursue further
study on their own.
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