Negative Diffusion Over Many Synodic Periods

Astronomy and Astrophysics – Astronomy

Scientific paper

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Scientific paper

In previous work we have looked at the migration of ring particles due to collisions in moon wakes caused by passing a moon massive enough to induce a forced eccentricity on the order of 10^-5 or more. In these systems, particles move rapidly toward regions of higher density in a process we call negative diffusion. This process can cause the radial width of a particle distribution to drop by 90% or more in certain configurations. Our earlier work focused on a single pass by the moon to remove complications due to resonances. Here we will present longer simulations that follow the material for 100 synodic periods to demonstrate how this process can contain material over longer periods of time and how resonances with the moons impact the evolution of the distribution of particle semimajor axes. The exact nature of the evolution is complicated by the fact that particles not only move toward regions of higher density, but also climb up the eccentricity gradients induced by resonances. In addition, the exact placement of narrow bands of material relative to resonances alters the forced eccentricity and hence the effectiveness of the negative diffusion.

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