Solar System Dynamics

by Carl D. Murray and Stanley F. Dermott

Chapter 10

Planetary Rings

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
10. PLANETARY RINGS
    1. Introduction
    2. Planetary ring systems
       • Figure 10.1 : notebook
       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
          • Figure 10.7 : notebook
       2. Perturbations in eccentricity and Lindblad resonances
          • Figure 10.8 : notebook
          • Figure 10.9 : notebook
          • Figure 10.10 : notebook
       3. Perturbations in inclination and vertical resonances
       4. Locations of resonances
          • Table 10.1 : notebook
    4. Density waves and bending waves
       • Figure 10.11 : notebook
       • Figure 10.12 : notebook
    5. Narrow rings and sharp edges
       1. Spreading timescales
       2. Localised effects of satellite perturbations
          • Figure 10.15 : notebook
       3. Shepherding satellites and radial confinement
       4. Eccentric and inclined rings
          • Figure 10.19 : notebook
       5. Embedded satellites and horseshoe orbits
    6. The Encke gap and Pan
    7. The F ring of Saturn
       • Figure 10.25 : notebook
    8. The Adams ring of Neptune
    9. The evolution of rings
    10. The Earth's dust ring
    11. Exercises
        • Answers (PDF)

1. Appendix - Solar System Data
2. Appendix - Expansion of the Disturbing Function
3. References (PDF)

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