Numerical simulation of satellite-ring interactions - Resonances and satellite-ring torques

Physics

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Angular Momentum, Kinetic Equations, Natural Satellites, Orbital Resonances (Celestial Mechanics), Planetary Rings, Digital Simulation, Planetary Gravitation, Torque

Scientific paper

The Krook kinetic equation for planetary rings is numerically solved in two spatial dimensions and in time, with (1) interparticle collisions and (2) satellite-forcing, but (3) without self-gravity, for the case of a flattened planetary ring that undergoes gravitational perturbation by a nearby satellite. It is noted that the amplitude of wakes is limited by purely kinematic effects, even in the absence of collisions. Attention is given to the results of a simulation of an inner Lindblad-resonance location, as the distribution approaches steady state; these simulations do not show an increase in velocity dispersion in the resonance zone, obviating a net torque.

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