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Precession of inclined rings

Borderies, Nicole and Goldreich, Peter and Tremaine, Scott (1983) Precession of inclined rings. Astronomical Journal, 88 (2). pp. 226-228. ISSN 0004-6256. doi:10.1086/113309.

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Differential precession due to the planet's quadrupole moment tends to destroy the alignment of particles in inclined rings. We propose that alignment is maintained by the self-gravity of the ring. This hypothesis predicts that δi/δɑ>0 across the ring. If δi/i0<(1, δe/e_0 <(1, ɑδi/δɑ<(1, and ɑδe/δɑ< 1, a further prediction is that δi/i_0 = δe/e_0. The ɑ and β rings of Uranus may be used to test these predictions.

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Additional Information:© 1983 American Astronomical Society. Received 22 July 1982; revised 18 October 1982. We thank J. L. Elliot and P. D. Nicholson for enlightening conversations. We are grateful to F. H. Shu for bringing to our attention the relation between the determinant of Eq. (15) and the WKB dispersion relation for linear bending waves. During the period this research was accomplished N.B. held a NSF U.S.-France exchange postdoctoral fellowship and a grant from ATP Planétologie 1981. P.G. acknowledges support from NSF Grant No. AST 80-20005 and NASA Grant No. NGL-05-002-003. S.T. acknowledges support from NASA Grants No. NSG-7643 and No. NGL-22-009-638.
Group:UNSPECIFIED, Division of Geological and Planetary Sciences
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ATP Planétologie 1981UNSPECIFIED
NSF U.S.-France exchange postdoctoral fellowshipUNSPECIFIED
Issue or Number:2
Record Number:CaltechAUTHORS:20130307-112553837
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Official Citation:Precession of inclined rings Borderies, N., Goldreich, P., & Tremaine, S. Astronomical Journal, vol. 88, Feb. 1983, p. 226-228.
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:37374
Deposited By: Ruth Sustaita
Deposited On:08 Mar 2013 19:42
Last Modified:09 Nov 2021 23:28

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