Solar System Dynamics

by Carl D. Murray and Stanley F. Dermott

Chapter 7

Secular Perturbations

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
7. SECULAR PERTURBATIONS
   1. Introduction
   2. Secular perturbations for two planets
   3. Jupiter and Saturn
      • Section 7.3 : notebook
   4. Free and forced elements
   5. Jupiter, Saturn and a test particle
      • Secular evolution of eccentricity : animation
      • Secular evolution of inclination : animation
      • Section 7.5 notebook
   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
       • Asteroid families : animation
       • Figure 7.12 : notebook
       • Figure 7.16 : notebook
   11. Secular resonance
   12. Higher order secular theory
   13. Exercises
       • Answers (PDF)
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)

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