Linear stability of a self-gravitating ring

Astronomy and Astrophysics – Astronomy

Scientific paper

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Center Of Mass, Gravitational Effects, Natural Satellites, Planetary Rings, Systems Stability, Equations Of Motion, Linear Equations, Perturbation Theory

Scientific paper

The stability of a self-gravitating ring about a central body is studied
with the purpose of deriving a bound on the mass of the ring. The bound
is valid for all vibration modes of the system in three-dimensional
space, is less restrictive than previously found bounds, and in some
cases is the best possible bound for linear stability.

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