Non-linear stability of a cluster of stars sharing galactic rotation

Astronomy and Astrophysics – Astronomy

Scientific paper

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Arnold'S Theorem -- Stability -- Cluster Of Stars

Scientific paper

The non-linear stability of an ellipsoidal cluster of stars sharing
galactic rotation has been studied. It is seen that the cluster is
stable for all densities in the range of linear stability except for
those certain equations where Arnold's theorem is not applicable.

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