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Origin of chaos in the Prometheus–Pandora system

Goldreich, Peter and Rappaport, Nicole (2003) Origin of chaos in the Prometheus–Pandora system. Icarus, 166 (2). pp. 320-327. ISSN 0019-1035.

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We demonstrate that the chaotic orbits of Prometheus and Pandora are due to interactions associated with the 121:118 mean motion resonance. Differential precession splits this resonance into a quartet of components equally spaced in frequency. Libration widths of the individual components exceed the splitting resulting in resonance overlap which causes the chaos. A single degree of freedom model captures the essential features of the chaotic dynamics. Mean motions of Prometheus and Pandora wander chaotically in zones of width 1.8 deg yr^−1 and 3.1 deg yr^−1, respectively.

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Additional Information:Author preprint. This research was supported by NASA Planetary Geology and Geophysics grant 344-30-53-02 and by NSF grant AST-0098301.
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NASA Planetary Geology and Geophysics344-30-53-02
Subject Keywords:Satellites of Saturn, Orbits, Chaos
Record Number:CaltechAUTHORS:GOLicarus03b
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Official Citation:Peter Goldreich, Nicole Rappaport, Origin of chaos in the Prometheus-Pandora system, Icarus, Volume 166, Issue 2, December 2003, Pages 320-327, ISSN 0019-1035, DOI: 10.1016/j.icarus.2003.09.002. (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:2431
Deposited By: Archive Administrator
Deposited On:04 Apr 2006
Last Modified:28 Feb 2013 17:14

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