Instability considerations at self-gravitating circumplanetary ringlet structures

Computer Science

Scientific paper

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Coriolis Effect, Gravitational Effects, Interplanetary Dust, Planetary Rings, Inviscid Flow, Perturbation Theory, Shear Flow, Strata, Thickness

Scientific paper

The paper considers specific forms of instabilities in circumstellar and circumplanetary dust ringlets in Keplerian rotation around a central gravitating mass. Linear dispersion relations are calculated for self-gravitating, incompressible ringlet structures with a finite thickness, and an appropriate planar extent, taking into account additional force terms due to rotation and tidal acceleration. The main result is two transcendental dispersion relations, which are interpreted for two approximative cases: the infinitely thin layer and the finite layer approximation.

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