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Uranian ring dynamics: An analysis of multimode motions

Longaretti, Pierre-Yves (1989) Uranian ring dynamics: An analysis of multimode motions. Icarus, 82 (2). pp. 281-287. ISSN 0019-1035. doi:10.1016/0019-1035(89)90039-0.

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The purpose of this paper is to present an extension of the standard streamline formalism which allows us to discuss the dynamics of a narrow ring in the presence of several modes. The ring is supposed to be perturbed by its self-gravity only, and nonlinear coupling between the modes is neglected. It is shown that self-gravity is able to enforce the rigid precession of all modes. Also, special attention is paid to the response of the ring width to the presence of several modes. In particular, it is shown that the m = 1 mode of the γ ring should have no influence on its width, and that extreme cases for which the mean shape is purely elliptical (m = 1 mode) while the width is controlled by a different mode are possible. This last result might help explain the apparent incoherence of the width-longitude relations of the narrowest Uranian rings.

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Additional Information:© 1989 Published by Elsevier. Received 9 December 1988, Revised 15 May 1989. I thank Peter Goldreich for a number of challenging and fruitful discussions related to the question addressed in this paper. This research has been supported by the National Science Foundation under Grant AST 86-12799.
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NSFAST 86-12799
Issue or Number:2
Record Number:CaltechAUTHORS:20180720-160735244
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Official Citation:Pierre-Yves Longaretti, Uranian ring dynamics: An analysis of multimode motions, Icarus, Volume 82, Issue 2, 1989, Pages 281-287, ISSN 0019-1035, (
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:88102
Deposited By: George Porter
Deposited On:23 Jul 2018 21:57
Last Modified:16 Nov 2021 00:23

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