On the stability of Saturn's rings

Statistics – Computation

Scientific paper

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Computational Astrophysics, Magnetohydrodynamic Stability, Saturn Rings, Gravitational Waves, Inelastic Scattering, Optical Thickness, Particle Size Distribution

Scientific paper

A stability analysis of Saturn's rings, allowing for the particles' mutual gravitational scattering, indicates that the large particles will have random velocities of about 0.5(GM/R) exp 1/2 and become diffusively unstable if their optical depth is equal to or greater than 0.01-0.02, forming narrow ringlets (width is about 10 times the disk thickness). The fine particles will be unstable for an optical depth equal to or greater than 1.

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