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Published February 1983 | Published + Erratum
Journal Article Open

Precession of inclined rings

Abstract

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.

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.

Attached Files

Published - 1983AJ_____88__226B.pdf

Erratum - 1983AJ_____88_1074B.pdf

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August 22, 2023
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