Solar System Dynamics

by Carl D. Murray and Stanley F. Dermott

Chapter 7

Secular Perturbations

Before using the software supplied at this web site, please read this disclaimer.
  1. Structure of the Solar System
  2. The Two-Body Problem
  3. The Restricted Three-Body Problem
  4. Tides, Rotation and Shape
  5. Spin-Orbit Coupling
  6. The Disturbing Function
    1. Introduction
    2. Secular perturbations for two planets
    3. Jupiter and Saturn
    4. Free and forced elements
    5. Jupiter, Saturn and a test particle
    6. Gauss's averaging method
    7. Generalised secular perturbations
    8. Secular theory for the solar system
      • Secular evolution of the orbits of the inner planets : animation
      • Secular evolution of the orbits of the outer planets : animation
      • Section 7.8 : notebook
    9. Generalised free and forced elements
    10. Hirayama families and the IRAS dust bands
    11. Secular resonance
    12. Higher order secular theory
    13. Exercises
  8. Resonant Perturbations
  9. Chaos and Long-term Evolution
  10. Planetary Rings
  1. Appendix - Solar System Data
  2. Appendix - Expansion of the Disturbing Function
  3. References (PDF)
All links presented on this page are to HTML files except those marked as an animation (QuickTime® format), a notebook (Mathematica® notebook format), or PDF (portable document format).

The latest list of known errors and a compilation of symbols used in the book are available as PDF files. Highlighted text within PDF files are links to external online documents.

See the software page for more information regarding these alternative formats.

Table of Contents

Copyright © 1999-2006 by Carl D. Murray
Last modified on 8 September 2006
Maintained by Carl D. Murray
Designed by Lynne Marie Stockman