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Tidal evolution of the Uranian satellites. III - Evolution through the Miranda-Umbriel 3:1, Miranda-Ariel 5:3, and Ariel-Umbriel 2:1 mean-motion commensurabilitiesNumerical experiments have been conducted which indicate that the orbital eccentricity of Miranda may have reached a value sufficiently large to have affected its thermal evolution. There is a large chaotic zone associated with the Miranda-Ariel 5:3 mean-motion commensurability, even in the planar approximation; the orbital eccentricities of both satellites may vary chaotically for a considerable period. Since the anomalously high orbital inclination of Miranda is a consequence of passage through the 3:1 commensurability with Umbriel, the requirement that the satellites encountered this resonance places a lower limit on the Uranian specific dissipation function of 39,000.
Document ID
19900049454
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
Authors
Tittemore, William C.
(Arizona, University Tucson, United States)
Wisdom, Jack
(MIT Cambridge, MA, United States)
Date Acquired
August 14, 2013
Publication Date
June 1, 1990
Publication Information
Publication: Icarus
Volume: 85
ISSN: 0019-1035
Subject Category
Lunar And Planetary Exploration
Accession Number
90A36509
Funding Number(s)
CONTRACT_GRANT: NSF AST-88-57365
CONTRACT_GRANT: NAGW-1720
CONTRACT_GRANT: NAGW-706
Distribution Limits
Public
Copyright
Other

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