Astronomy and Astrophysics – Astrophysics
Scientific paper
Sep 1984
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984apj...284..429b&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 284, Sept. 1, 1984, p. 429-434. Research supported by the Centre National d
Astronomy and Astrophysics
Astrophysics
28
Celestial Mechanics, Gravitational Effects, Natural Satellites, Saturn Rings, Secular Variations, Uranus Rings, Bessel Functions, Equations Of Motion, Hamiltonian Functions, Planets, Rings, Inclinations, Satellites, Resonance, Gravity Effects, Orbits, Motion, Celestial Mechanics, Interactions, Dissipation, Viscosity, Saturn, Uranus, Giant Planets, Calculations, Models
Scientific paper
Resonant gravitational interactions between a ring and a satellite produce secular variations of their orbital inclinations. Interactions at vertical resonances, analogous to Lindblad resonances but involving inclinations instead of eccentricities, excite inclinations. There is no inclination analog of the corotation resonance. An equatorial ring changes the inclination of a nearby satellite in qualitatively the same way that a satellite in an equatorial orbit changes the inclination of a nearby ring. Viscous dissipation in a ring leads to an equilibrium value of its inclination. These results provide a basis for discussing the origins of the inclinations of planetary rings.
Borderies Nicole
Goldreich Peter
Tremaine Scott
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