It's very recent, but it discusses the question of cause of and stability of Saturn's and other ring systems. I came to this site wondering about them. I got the impression from answers received here they were well understood? This paper seems to suggest there are a number of big questions, and has some interesting (if a bit exotic) ideas about what's going on with them. Anyone heard of the guy?(adsbygoogle = window.adsbygoogle || []).push({});

I'm interested in other references to the topic.

The fractal theory of the Saturn Ring

Mikhail Zelikin

(Submitted on 9 Jun 2015)

The true reason for partition of the Saturn ring as well as rings of other planets into great many of sub-rings is found. This reason is the theorem of Zelikin-Lokutsievskiy-Hildebrand about fractal structure of solutions to generic piece-wise smooth Hamiltonian systems. The instability of two-dimensional model of rings with continues surface density of particles distribution is proved both for Newtonian and for Boltzmann equations. We do not claim that we have solved the problem of stability of Saturn ring. We rather put questions and suggest some ideas and means for researches.

Comments: 19 pages, 1 figure

Subjects: Dynamical Systems (math.DS); Mathematical Physics (math-ph)

Cite as: arXiv:1506.02908 [math.DS]

(or arXiv:1506.02908v1 [math.DS] for this version)

http://arxiv.org/abs/1506.02908

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# A paper on Saturn's rings

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