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The origin of the eccentricities of the rings of Uranus

Goldreich, Peter and Tremaine, Scott (1981) The origin of the eccentricities of the rings of Uranus. Astrophysical Journal, 243 (1). pp. 1062-1075. ISSN 0004-637X. https://resolver.caltech.edu/CaltechAUTHORS:20130306-155257978

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Abstract

We consider the effect of gravitational perturbations from a nearby satellite on the eccentricity e of a narrow particulate ring. The perturbations near a resonance in an eccentric ring may be divided into corotation and Lindblad terms. For small e, the corotation terms damp e, whereas the Lindblad terms excite e. In the absence of saturation the corotation terms win by. a small margin, and e damps. However, if the perturbations open gaps at the strongest resonances, then the Lindblad terms win, and e grows. This result offers an explanation for the existence of both circular and eccentric rings around Uranus. We also show that eccentricity changes induced by circular rings on eccentric satellite orbits are similar to those induced by satellites with circular orbits on eccentric rings.


Item Type:Article
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1086/158671DOIUNSPECIFIED
http://adsabs.harvard.edu/abs/1981ApJ...243.1062GADSUNSPECIFIED
Additional Information:© 1981 American Astronomical Society. Received 1980 July 7; accepted 1980 August 13. This research was supported in part by the National Science Foundation grants AST 79-24978 and PHY 79-19884 and NASA grant NGL-05-002-003.
Funders:
Funding AgencyGrant Number
NSFAST 79-24978
NSFPHY 79-19884
NASANGL-05-002-003
Subject Keywords:planets: satellites, planets: Uranus. URANUS, RINGS, ECCENTRICITY, ORIGIN, GRAVITY EFFECTS, PERTURBATIONS, SATELLITES, RESONANCE, COROTATION, SATURATION, ORBITS, DAMPING, MATHEMATICAL MODELS, ELLIPTICITY, PARTICLES, COLLISIONS, EVOLUTION, E RING, TORQUES
Issue or Number:1
Record Number:CaltechAUTHORS:20130306-155257978
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20130306-155257978
Official Citation:The origin of the eccentricities of the rings of Uranus Goldreich, P. & Tremaine, S. Astrophysical Journal, Part 1, vol. 243, Feb. 1, 1981, p. 1062-1075.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37362
Collection:CaltechAUTHORS
Deposited By: Ruth Sustaita
Deposited On:07 Mar 2013 19:15
Last Modified:03 Oct 2019 04:47

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