The Variations in Eccentricity and Apse Precession Rate of a Narrow Ring Perturbed by a Close Satellite

Creators: Borderies, Nicole; Goldreich, Peter; Tremaine, Scott

Abstract

We derive a Hamiltonian which describes the first-order perturbations of orbital eccentricity and apse precession rate of a narrow ring due to a close satellite whose orbit is also eccentric. Our treatment covers cases in which the satellite crosses the ring. The level curves of the Hamiltonian are displayed for several values of the parameters. We apply our results to the interaction of Saturn's F ring with its inner shepherd satellite.

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© 1983 by Academic Press. Received July 22, 1982; revised October 20, 1982. We thank E. Danielson, S. Synnott, and R. Terrile for helpful discussions. We are grateful to S. Peale for suggesting several improvements which we incorporated into our manuscript. During the period this research was accomplished N.B. held an NSF U.S.- France exchange postdoctoral fellowship and a grant from ATP Planétologie 1981. P.G. acknowledges support from NSF Grant AST 80-20005 and NASA Grant NGL-05-002-003. S.T. acknowledges support from NASA Grants NSG-7643 and NGL-22-009-638.

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The Variations in Eccentricity and Apse Precession Rate of a Narrow Ring Perturbed by a Close Satellite

Abstract

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