Unstable modes of Keplerian discs

Astronomy and Astrophysics – Astronomy

Scientific paper

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Instabilities, Stellar Dynamics, Celestial Mechanics, Galaxies: Nuclei, Instabilities, Stellar Dynamics, Celestial Mechanics, Galaxies: Nuclei

Scientific paper

We derive the softened analogue of the Laplace-Lagrange secular theory
of planetary motion, and use it to show that a small fraction of
counter-rotating stars is all it takes for a hot Keplerian disc to grow
unstable lopsided modes.

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