Further investigation into a recent model for toroidal rings of Saturn

Details Further investigation into a recent model for toroidal rings of Saturn Further investigation into a recent model for toroidal rings of Saturn

Jul 1984

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1984cemec..33..229b&link_type=abstract

Celestial Mechanics (ISSN 0008-8714), vol. 33, July 1984, p. 229-238.

Computer Science

3

Eccentric Orbits, Planetary Orbits, Saturn Rings, Toroids, Cross Sections, Dynamic Stability, Fluctuation Theory, Particle Motion

Scientific paper

A previous paper described a toroidal ringlet consisting of a large number of charged particles distributed uniformly along slightly inclined, slightly eccentric, orbits around Saturn. The orbits have identical semimajor-axis, identical eccentricity and identical inclination, but their ascending nodes are distributed uniformly around Saturn. Assuming an inclination (in radians) much smaller than the eccentricity, it was shown that the toroidal cross-section could rock slowly back and forth as the inclination fluctuates. In this paper a similar result is obtained for the more general case when inclinaton is comparable with eccentricity and both fluctuate.

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