The stability of Saturn's rings
1951 ◽
Vol 244
(874)
◽
pp. 1-17
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Keyword(s):
Maxwell determined the conditions of stability of a single ring of small particles moving round a large primary. He also made some incomplete remarks on the effects of introducing a second ring. The present investigation considers in greater detail the stability of two rings of particles moving about a primary and subject to the gravitational attractions of the primary and of each other. It is shown that such a system, under conditions satisfied by the Saturnian system, is stable, the particles oscillating finitely about their mean positions. It is inferred that the Saturnian system, considered as a number of such rings, is therefore also stable.
2003 ◽
Vol 400
(1)
◽
pp. 375-383
◽
1861 ◽
Vol 21
(140)
◽
pp. 263-274
1984 ◽
Vol 75
◽
pp. 211-217
◽
Keyword(s):
2012 ◽
pp. 288-376
◽
Keyword(s):
2008 ◽
Vol 366
(1871)
◽
pp. 1697-1705
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Keyword(s):