Solar System Dynamics

by Carl D. Murray and Stanley F. Dermott

Chapter 2

The Two-Body Problem

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  1. Structure of the Solar System
  2. THE TWO-BODY PROBLEM
    1. Introduction
    2. Equations of motion
    3. Orbital position and velocity
    4. The mean and eccentric anomalies
    5. Elliptic expansions
    6. The guiding centre approximation
    7. Barycentric orbits
    8. The orbit in space
    9. Perturbed orbits
    10. Hamiltonian formulation
    11. Exercises
  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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Last modified on 8 September 2006
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