Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1981
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1981apj...243.1062g&link_type=abstract
Astrophysical Journal, Part 1, vol. 243, Feb. 1, 1981, p. 1062-1075.
Astronomy and Astrophysics
Astrophysics
81
Eccentric Orbits, Orbit Perturbation, Planetary Gravitation, Satellite Orbits, Uranus Rings, Circular Orbits, Particle Motion, Planetary Evolution, Resonance Lines, Uranus, Rings, Eccentricity, Origin, Gravity Effects, Perturbations, Satellites, Resonance, Corotation, Saturation, Orbits, Damping, Mathematical Models, Ellipticity, Particles, Collisions, Evolution, E Ring, Torques
Scientific paper
The effect of gravitational perturbations from a nearby satellite on the eccentricity e of a narrow particulate ring is considered. The perturbations near a resonance in an eccentric ring may be divided into corotation and Lindblad terms. For small e, the corotation terms damp e, whereas the Lindblad terms excite e. In the absence of saturation the corotation terms win by a small margin, and e damps. However, if the perturbations open gaps at the strongest resonances, then the Lindblad terms win, and e grows. This result offers an explanation for the existence of both circular and eccentric rings around Uranus. It is also shown that eccentricity changes induced by circular rings on eccentric satellite orbits are similar to those induced by satellites with circular orbits on eccentric rings.
Goldreich Peter
Tremaine Scott
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