Solar System Dynamics

by Carl D. Murray and Stanley F. Dermott

Chapter 6

The Disturbing Function

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  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
    1. Introduction
    2. The disturbing function
    3. Expansion using Legendre polynomials
    4. Literal expansion in orbital elements
    5. Literal expansion to second order
    6. Terms associated with a specific argument
    7. Use of the disturbing function
    8. Lagrange's planetary equations
    9. Classification of arguments in the disturbing function
      1. Secular terms
      2. Resonant terms
      3. Short period and small amplitude terms
    10. Sample calculations of the averaged disturbing function
      1. Terms associated with the 3:1 commensurability
      2. Terms associated with the 18:7 commensurability
    11. The effect of planetary oblateness
    12. Exercises
  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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