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Perturbed Particle Disks

Borderies, Nicole and Goldreich, Peter and Tremaine, Scott (1983) Perturbed Particle Disks. Icarus, 55 (1). pp. 124-132. ISSN 0019-1035. doi:10.1016/0019-1035(83)90055-6.

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The Boltzmann moment equations are solved to determine the velocity ellipsoid in a particle disk near an isolated satellite resonance. In a coordinate frame which rotates with the pattern speed of the perturbation potential, the solutions are stationary functions of the azimuthal angle. From the velocity ellipsoid we obtain the stress tensor due to particle collisions and consequently, the viscous angular momentum flux. We show that the magnitude of the rate of deformation tensor in a perturbed particle disk is bounded from above by KΩ(1 + τ^2)^½ where Ω is the orbital angular velocity, τ is the optical depth, and K is a dimensionless constant of order unity. It is also found that in sufficiently perturbed regions there are ranges of azimuthal angle within which the radial component of the angular momentum flux is negative. It is even possible for the angular momentum luminosity, the radial flux integrated over azimuth, to be negative. These results are important for understanding sharp edges and the decay of density waves in planetary rings. They are also relevant to the damping of differential precession and eccentricity in narrow ringlets.

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Additional Information:© 1983 Academic Press, Inc. Received December 17, 1982, and in revised form February 23, 1983. N.B. acknowledges an NSF U.S.-France exchange postdoctoral fellowship and a grant from ATP Planétologie 1981. P.G. acknowledges support from NSF Grant 80-20005 and NASA Grant NGL-05402403. S.T. acknowledges support from NSF Grant AST-8210463 and NASA Grants NSG-7643 and NGL-22-009-638.
Group:UNSPECIFIED, Division of Geological and Planetary Sciences
Funding AgencyGrant Number
ATP Planétologie 1981UNSPECIFIED
NSF U.S.-France exchange postdoctoral fellowshipUNSPECIFIED
Issue or Number:1
Record Number:CaltechAUTHORS:20130228-101759239
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Official Citation:Nicole Borderies, Peter Goldreich, Scott Tremaine, Perturbed particle disks, Icarus, Volume 55, Issue 1, July 1983, Pages 124-132, ISSN 0019-1035, 10.1016/0019-1035(83)90055-6. (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37198
Deposited By: Ruth Sustaita
Deposited On:28 Feb 2013 19:46
Last Modified:09 Nov 2021 23:27

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