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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. 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
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1016/j.icarus.2003.09.002DOIUNSPECIFIED
http://arxiv.org/abs/astro-ph/0307259arXivUNSPECIFIED
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
Funders:
Funding AgencyGrant Number
NASA Planetary Geology and Geophysics344-30-53-02
NSFAST-0098301
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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