Physics
Scientific paper
Feb 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985icar...61..218s&link_type=abstract
Icarus (ISSN 0019-1035), vol. 61, Feb. 1985, p. 218-223. NASA-supported research.
Physics
20
Eccentric Orbits, Eccentricity, Natural Satellites, Oberon, Orbit Decay, Satellite Orbits, Uranus (Planet), Ariel, Error Analysis, Icy Satellites, Miranda, Orbital Elements, Physical Properties, Titania, Umbriel, Uranus, Satellites, Orbits, Eccentricity, Physical Properties, Decay, Calculations, Motion, Celestial Mechanics, Commensurability, Hypotheses, Tidal Effects, Ariel
Scientific paper
The eccentricity decay times for the Uranian satellites are calculated using recent observations (Brown et al., 1982) of the diameters and orbital elements of the satellites and assuming reasonable dissipation functions and rigidities for icy satellites. For the outer two satellites, Titania and Oberon, the decay times are found to be very long, whereas the inner three satellites, Miranda, Ariel, and Umbriel, have decay times on the order of 10 to the 7th to 10 to the 8th years and have a near-commensurability in their mean motions that cannot force their eccentricities. There are several possible solutions for the lack of resonant forcing: (1) the reported eccentricities are incorrect, and are very nearly zero, (2) the reported mean motions are incorrect, and an exact commensurability exists, (3) the physical properties assumed for the satellites are grossly in error, and (4) the system is evolving rapidly, perhaps from a previous state of higher eccentricity. A new lower bound of about 17,000 on the dissipation function of Uranus is calculated from the mass of Ariel and its proximity to Uranus.
Lissauer Jack . J.
Reynolds Ray T.
Squyres Steve W.
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