The role of dissipation in shepherding of ring particles

Physics

Scientific paper

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Energy Dissipation, Gravitational Effects, Saturn Rings, Saturn Satellites, Eccentricity, Heuristic Methods, Oscillations, Particle Motion, Torque, Saturn, Rings, Satellites, Oscillations, Motion, Particles, Geometry, Dynamics, Torque, Damping, Resonance, Interactions

Scientific paper

A discussion is presented on the gravitational interaction between ring systems and nearby satellites. A shepherd satellite lacking damping mechanisms will force oscillations in the motion of a ring particle that are symmetrical with respect to the encounter geometry. If such damping mechanisms as density wave propagation or a dissipative medium are present, a lag in particle response provides the asymmetry that exerts a net torque on the rings. While the torque on a given particle depends on the degree of damping, that dependence disappears when the torque is averaged over a range of orbits spanning resonances if the degree of damping is within a certain range. A torque that is much lower than the standard formula results from excessively weak or strong damping.

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