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 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 inclination is comparable with eccentricity and both fluctuate.