Borderies, Nicole and Goldreich, Peter and Tremaine, Scott (1984) Excitation of inclinations in ring-satellite systems. Astrophysical Journal, 284 (1). pp. 429-434. ISSN 0004-637X. https://resolver.caltech.edu/CaltechAUTHORS:20130312-110957161
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Abstract
Resonant gravitational interactions between a ring and a satellite produce secular variations of their orbital inclinations. Interactions at vertical resonances, analogous to Lindblad resonances but involving inclinations instead of eccentricities, excite inclinations. There is no inclination analog of the corotation resonance. An equatorial ring changes the inclination of a nearby satellite in qualitatively the same way that a satellite in an equatorial orbit changes the inclination of a nearby ring. Viscous dissipation in a ring leads to an equilibrium value of its inclination. These results provide a basis for discussing the origins of the inclinations of planetary rings.
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| Additional Information: | © 1984 American Astronomical Society. Received 1984 January 9; accepted 1984 March 19. N. B. acknowledges an NSF US-France exchange postdoctoral fellowship and a grant from ATP Planetologie 1982 and 1983 and also a consortium arrangement with Ames. P. G. acknowledges support from NSF grant 80-20005 and NASA grant NGL-05-002-003. S. T. acknowledges support from NSF grant AST-8210463 and NASA grants NSG-7643 and NGL-22-009-638. | ||||||||||||||||||
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| Subject Keywords: | celestial mechanics, planets: satellites, planets: Saturn, planets: Uranus | ||||||||||||||||||
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| Issue or Number: | 1 | ||||||||||||||||||
| Record Number: | CaltechAUTHORS:20130312-110957161 | ||||||||||||||||||
| Persistent URL: | https://resolver.caltech.edu/CaltechAUTHORS:20130312-110957161 | ||||||||||||||||||
| Official Citation: | Excitation of inclinations in ring-satellite systems Borderies, N., Goldreich, P., & Tremaine, S. Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 284, Sept. 1, 1984, p. 429-434. | ||||||||||||||||||
| Usage Policy: | No commercial reproduction, distribution, display or performance rights in this work are provided. | ||||||||||||||||||
| ID Code: | 37469 | ||||||||||||||||||
| Collection: | CaltechAUTHORS | ||||||||||||||||||
| Deposited By: | Ruth Sustaita | ||||||||||||||||||
| Deposited On: | 12 Mar 2013 18:26 | ||||||||||||||||||
| Last Modified: | 03 Oct 2019 04:48 |
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