Solar System Dynamics

by Carl D. Murray and Stanley F. Dermott

Chapter 3

The Restricted Three-Body Problem

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  1. Structure of the Solar System
  2. The Two-Body Problem
    1. Introduction
    2. Equations of motion
    3. The Jacobi integral
    4. The Tisserand relation
    5. Lagrangian equilibrium points
    6. Location of equilibrium points
    7. Stability of equilibrium points
      1. The collinear points
      2. The triangular points
    8. Motion near L4 and L5
    9. Tadpole and horseshoe orbits
    10. Orbits and zero velocity curves
    11. Trojan asteroids and satellites
    12. Janus and Epimetheus
    13. Hill's equations
    14. The effects of drag
      1. Analysis of the Jacobi constant
      2. Linear stability of the L4 and L5 points
      3. Inertial drag forces
    15. Exercises
  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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Copyright © 1999-2006 by Carl D. Murray
Last modified on 8 September 2006
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