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The Laplacian resonance and tidal dissipationThe Laplacian resonance amongst Io, Europa, and Ganymede was examined, taking into account tidal dissipation in Jupiter, Io and Europa. In equilibrium, it is not possible to neglect dissipation in Europa nor the torques of Jupiter on Europa and Ganymede. A formal calculation was made on the assumption that the tidal torques and the torques in orbit-orbit resonance reached an equilibrium such that the rates of decrease of the mean motions of the satellites are in the ratios 4:2:1. Q(j)/k(j)=167 Q(1)/k(1), Q(2)/k(2) = 0.44 Q(1)/K(1), where Q denotes the quality at the body's frequency of rotation, k its second degree Love number and the subscripts J, 1 and 2 denote Jupiter, Io, and Europa. The Q(J) found is at Jupiter's frequency of rotation. The rate of tidal dissipation in Europa comes to 1/5 that of Io. Such a low value of Q(2)/K(2) is plausible if dissipation in both Io and Europa is due to tidal friction in fluid against underlying and overlying solid layers.
Document ID
19840015366
Acquisition Source
Legacy CDMS
Document Type
Other
Authors
Cook, A. F.
(Smithsonian Astrophysical Observatory)
Date Acquired
August 12, 2013
Publication Date
April 1, 1984
Publication Information
Publication: NASA. Washington Repts. of Planetary Geol. Program
Subject Category
Lunar And Planetary Exploration
Accession Number
84N23434
Distribution Limits
Public
Copyright
Work of the US Gov. Public Use Permitted.
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