Further Investigation Into a Recent Model for Toroidal Rings of Saturn
Abstract
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 semimajoraxis, 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 crosssection could rock slowly back and forth as the inclination fluctuates. In this paper a similar result is obtained for the more general case when inclination is comparable with eccentricity and both fluctuate.
 Publication:

Celestial Mechanics
 Pub Date:
 July 1984
 DOI:
 10.1007/BF01230505
 Bibcode:
 1984CeMec..33..229B
 Keywords:

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