Dynamics of Saturn's rings

Computer Science

Scientific paper

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Artificial Satellites, Dynamic Models, Dynamic Response, Gravitational Effects, Saturn Rings, Damping, Resonance, Thickness, Viscosity

Scientific paper

A dynamical study of Saturn's rings is presented. Emphasis is placed on the gravitational effects of external and possible embedded satellites. The locations and strengths of resonances between ring particles and Saturn's known moons are computed. Spiral density waves are seen to be one of the major consequences of resonances within the rings comparison of theoretical calculations with observed waves allows local surface mass densities to be determined and used to estimate the overall mass of the rings. The theory of forced spiral bending waves is developed, and applied to several features within the rings. The ring warp caused by these waves may explain the 1-2 kilometer apparent thickness of the rings when observed edge-on from Earth. Measurement of the ring viscosity from the damping of bending waves is estimated to be about 30 meters. Several gaps and ring edges are identified with resonances; however, many prominent gaps are nonresonant.

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