Goldreich, Peter and Rappaport, Nicole (2003) Origin of chaos in the Prometheus–Pandora system. Icarus, 166 (2). pp. 320-327. ISSN 0019-1035. doi:10.1016/j.icarus.2003.09.002. https://resolver.caltech.edu/CaltechAUTHORS:GOLicarus03b
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Abstract
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.
Item Type: | Article | |||||||||
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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. | |||||||||
Group: | TAPIR | |||||||||
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Subject Keywords: | Satellites of Saturn, Orbits, Chaos | |||||||||
Issue or Number: | 2 | |||||||||
DOI: | 10.1016/j.icarus.2003.09.002 | |||||||||
Record Number: | CaltechAUTHORS:GOLicarus03b | |||||||||
Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:GOLicarus03b | |||||||||
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. (http://www.sciencedirect.com/science/article/B6WGF-49V1DPH-7/2/33c120c8b1cd6ef8cde6d210ee57e9c1) | |||||||||
Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | |||||||||
ID Code: | 2431 | |||||||||
Collection: | CaltechAUTHORS | |||||||||
Deposited By: | Archive Administrator | |||||||||
Deposited On: | 04 Apr 2006 | |||||||||
Last Modified: | 08 Nov 2021 19:47 |
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