Abstract
Information about the planetary rings of Saturn, Jupiter, Uranus, and Neptune obtained during the missions of Voyager, Galileo, and Cassini provided astronomers, physicists, and celestial mechanics with a large amount of data on striking and inexplicable phenomena, in particular, a small but noticeable eccentricity and thickness variability of some rings. Fridman and Gor’kavy œ [1] attribute the eccentricity to the interaction of the ring with the extended planetary atmosphere and attribute the variable thickness to the attraction of the ring particles by the planetary satellites. In this paper, we study the possibility of collisionless motion of the whole aggregate of particles forming a thin continuous self-gravitating ring in the gravity field of a motionless massive center without influence of other external factors (neighboring rings, satellites, etc.). The study revealed rings possessing the above effects.
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