Ballistic transport in planetary ring systems due to particle erosion mechanisms. I - Theory, numerical methods, and illustrative examples

Mathematics – Mathematical Physics

Scientific paper

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Erosion, Hypervelocity Impact, Meteoroids, Planetary Rings, Ejecta, Planetary Orbits, Saturn Rings, Viscosity, Planets, Rings, Transport, Particles, Erosion, Theoretical Studies, Mass, Numerical Methods, Impacts, Meteoroids, Timescale, Angular Momentum, Diffusion, Distribution, Structure, Ejecta, Viscosity, Calculations, Diagrams, Orbits, Absorption, Kinematics, Saturn, Evolution, Parameters

Scientific paper

Ballistic transport, defined as the net radial transport of mass and angular momentum due to exchanges of meteoroid hypersonic-impact ejecta by neighboring planetary ring regions on time-scales orders-of-magnitude shorter than the age of the solar system, is presently considered as a problem in mathematical physics. The preliminary results of a numerical scheme for following the combined effects of ballistic transport and viscous diffusion demonstrate that ballistic transport generates structure near sharp edges already present in the ring-mass distribution; the entire ring system ultimately develops an undulatory structure whose length scale is typically of the order of the radial excursion of the impact ejecta.

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