Negative Diffusion in Simulations of Planetary Rings With Near by Moons

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Results from simulations of planetary rings with a nearby moon are presented. The setup most closely resembles the Encke gap, but the results can be extended to the Keeler gap, the F ring, or other narrow rings with nearby shepherd moons. The simulations were done with varying particle distribution, optical depth, perturbation strength (moon mass), and particle size. The simulations clearly show a process we referred to as negative diffusion because the orbits of the ring particles seems to migrate to areas of high density. Only a single pass by the moon is simulated so no resonant effects can interfere with this behavior in these simulations. The effect of the negative diffusion varies depending on the initial spatial distribution of the particles and the magnitude of the perturbation. It can form enhanced density regions at edges, or confine narrow ringlets.
The research presented was done to explore what affects and causes negative diffusion as well as quantify the results seen. The results clearly show a strong correlation between negative diffusion, optical depth, particle size and perturbation strength. For example, negative diffusion is strongest at an original optical depth of roughly .04. Particle size seemed to have a very small effect on the amount of negative diffusion. However in simulations where the only difference is particle size, the simulation with the small particle size with produce the most negative diffusion. Perturbation strength has a strong effect on negative diffusion. A higher perturbation will produce negative diffusion sooner as well as the regular diffusion that follows it.
This work was supported by an NSF AAG/RUI grant.

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