Collisionless damping of oscillations in electrically supported dust rings

Physics

Scientific paper

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Collisionless Plasmas, Planetary Rings, Plasma Density, Plasma Oscillations, Space Plasmas, Electron Density Profiles, Ion Density (Concentration), Jupiter Rings, Plasma Waves, Saturn Rings, Vibration Damping

Scientific paper

LF density waves in a planetary ring will be damped if there is a significant time delay in charging of dust particles. This damping in many cases can be more important than damping due to dust-dust and dust-plasma collisions. The response in plasma potential and dust particle charge when the dust density is varied periodically with frequency is derived. This response is then applied to oscillations of dust particles in Jupiter's and Saturn's tenuous rings in the direction normal to the central plane of the rings. For tenuous rings expressions which approximate the eigenfrequencies and timescales of damping for the oscillation are found analytically. These expressions are compared with numerical solutions of the original set of equations.

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