Solar System Dynamics

by Carl D. Murray and Stanley F. Dermott

Chapter 2

The Two-Body Problem

1. Structure of the Solar System
2. THE TWO-BODY PROBLEM
   1. Introduction
   2. Equations of motion
   3. Orbital position and velocity
      • Orbital Precession : animation
      • Figure 2.4 : notebook
   4. The mean and eccentric anomalies
   5. Elliptic expansions
      • Section 2.5 : notebook
   6. The guiding centre approximation
      • Guiding centre : animation
      • Section 2.6 : notebook
      • Figure 2.10 : notebook
   7. Barycentric orbits
   8. The orbit in space
      • Figure 2.14 : notebook
      • Figure 2.15 : notebook
   9. Perturbed orbits
   10. Hamiltonian formulation
   11. Exercises
       • Answers (PDF)
3. The Restricted Three-Body Problem
4. Tides, Rotation and Shape
5. Spin-Orbit Coupling
6. The Disturbing Function
7. Secular Perturbations
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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