The Stability of Saturn's Rings

Details The Stability of Saturn's Rings The Stability of Saturn's Rings

Sep 1951

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1951rspta.244....1g&link_type=abstract

Philosophical Transactions of the Royal Society of London. Series A, Mathematical and Physical Sciences, Volume 244, Issue 874,

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Scientific paper

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.

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