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The variations in eccentricity and apse precession rate of a narrow ring perturbed by a close satellite |
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| Authors: | Nicole Borderies Peter Goldreich Scott Tremaine |
| Institution: | Division of Geological and Planetary Sciences, California Institute of Technology, Pasadena, California 91125, USA;Department of Physics, Center for Space Research and Center for Theoretical Physics, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139, USA |
| 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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