Solar System Dynamics

by Carl D. Murray and Stanley F. Dermott

Chapter 10

Planetary Rings

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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
  6. The Disturbing Function
  7. Secular Perturbations
  8. Resonant Perturbations
  9. Chaos and Long-term Evolution
    1. Introduction
    2. Planetary ring systems
      1. The rings of Jupiter
      2. The rings of Saturn
      3. The rings of Uranus
      4. The rings of Neptune
      5. Rings and satellites
    3. Resonances in the rings
      1. Perturbations in semi-major axis and corotation resonances
      2. Perturbations in eccentricity and Lindblad resonances
      3. Perturbations in inclination and vertical resonances
      4. Locations of resonances
    4. Density waves and bending waves
    5. Narrow rings and sharp edges
      1. Spreading timescales
      2. Localised effects of satellite perturbations
      3. Shepherding satellites and radial confinement
      4. Eccentric and inclined rings
      5. Embedded satellites and horseshoe orbits
    6. The Encke gap and Pan
    7. The F ring of Saturn
    8. The Adams ring of Neptune
    9. The evolution of rings
    10. The Earth's dust ring
    11. Exercises
  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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