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

Borderies, Nicole and Goldreich, Peter and Tremaine, Scott (1983) The Variations in Eccentricity and Apse Precession Rate of a Narrow Ring Perturbed by a Close Satellite. Icarus, 53 (1). pp. 84-89. ISSN 0019-1035. http://resolver.caltech.edu/CaltechAUTHORS:20130228-092555967

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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.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/0019-1035(83)90022-2DOIUNSPECIFIED
http://www.sciencedirect.com/science/article/pii/0019103583900222PublisherUNSPECIFIED
Additional Information:© 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.
Funders:
Funding AgencyGrant Number
ATP Planétologie 1981UNSPECIFIED
NSFAST 80-20005
NASANGL-05-002-003
NASANSG-7643
NASANGL-22-009-638
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Caltech Division of Geological and Planetary Sciences3807
Record Number:CaltechAUTHORS:20130228-092555967
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20130228-092555967
Official Citation:Nicole Borderies, Peter Goldreich, Scott Tremaine, The variations in eccentricity and apse precession rate of a narrow ring perturbed by a close satellite, Icarus, Volume 53, Issue 1, January 1983, Pages 84-89, ISSN 0019-1035, 10.1016/0019-1035(83)90022-2. (http://www.sciencedirect.com/science/article/pii/0019103583900222)
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37190
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:28 Feb 2013 18:20
Last Modified:28 Feb 2013 18:20

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