Solar System Dynamics

Rating:
Summary: Authoritative, Fascinating, Challenging
Review: Three books on our solar system appeared in the past year or so. Each has its own "flavor." I will review them in turn, but browsers should be aware of the others, so they are listed here: See also, "The New Solar System," J. Kelly Beatty, Carolyn Collins Petersen, Andrew Chalkin, and "The Planetary Scientist's Companion," Katharine Lodders and Bruce Fegley, Jr.

If one of the other books, "The New Solar System" is lacking in mathematics, this volume more than makes up for it. Although my current interest, the Titius/Bode Law, is given only one page of description, it is a full and fair assessment of this astronomical curiosity. The authors immediately follow this on p. 9 by a statement that sums up the flavor of the rest of the book: "...It is Newton's laws that are at work and the subtle gravitational effect that determines the dynamical structure of our solar system is the phenomenon of 'resonance'." Planets do not circle the sun independently, they influence each other's orbits in fascinating and subtle ways, some of which may take billions of years to evolve.

The manifold aspects of "resonance" can be seen in the Chapter headings: The Two-Body Problem, The Restricted Three-Body Problem, Tides, Rotation, and Shape, Spin-Orbit Coupling, The Disturbing Function, Secular Perturbations, Resonant Perturbations, Chaos and Long-Term Evolution, and Planetary Rings.

The mathematics appears to be straightforward, but like most perturbation theory, it is not simple. Calculus is essential, of course. However, I welcome it. It will challenge my curiosity and ability for many years to come.

This is a compelling, must-have book for the advanced student of the science underlying our solar system and probably of other planetary systems as well.