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Disk-Satellite Interactions

Goldreich, Peter and Tremaine, Scott (1980) Disk-Satellite Interactions. Astrophysical Journal, 241 (1). pp. 425-441. ISSN 0004-637X. doi:10.1086/158356.

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We calculate the rate at which angular momentum and energy are transferred between a disk and a satellite which orbit the same central mass. A satellite which moves on a circular orbit exerts a torque on the disk only in the immediate vicinity of its Lindblad resonances. The direction of angular momentum transport is outward, from disk material inside the satellite's orbit to the satellite and from the satellite to disk material outside its orbit. A satellite with an eccentric orbit exerts a torque on the disk at corotation resonances as well as at Lindblad resonances. The angular momentum and energy transfer at Lindblad resonances tends to increase the satellite's orbit eccentricity whereas the transfer at corotation resonances tends to decrease it. In a Keplerian disk, to lowest order in eccentricity and in the absence of nonlinear effects, the corotation resonances dominate by a slight margin and the eccentricity damps. However, if the strongest corotation resonances saturate due to particle trapping, then the eccentricity grows. We present an illustrative application of our results to the interaction between Jupiter and the protoplanetary disk. The angular momentum transfer is shown to be so rapid that substantial changes in both the structure of the disk and the orbit of Jupiter must have taken place on a time scale of a few thousand years.

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Additional Information:© 1980 American Astronomical Society. Received 1980 January 7; accepted 1980 April 9. This research was supported in part by NSF grants PHY-79-19884 and AST-79-24978, and NASA grant NGL-05-002-003.
Group:UNSPECIFIED, Division of Geological and Planetary Sciences
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Subject Keywords:hydrodynamics, planets: Jupiter, planets: satellites, solar system: general
Issue or Number:1
Record Number:CaltechAUTHORS:20130306-154423987
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Official Citation:Disk-satellite interactions Goldreich, P. & Tremaine, S. Astrophysical Journal, Part 1, vol. 241, Oct. 1, 1980, p. 425-441.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37360
Deposited By: Ruth Sustaita
Deposited On:08 Mar 2013 22:36
Last Modified:09 Nov 2021 23:28

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