Instability of rotating stellar systems with elongated orbits

Statistics – Computation

Scientific paper

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Elliptical Galaxies, Galactic Bulge, Gravitational Effects, Stellar Orbits, Stellar Systems, Systems Stability, Computational Astrophysics, Disk Galaxies, Orbital Mechanics, Perturbation Theory

Scientific paper

The effect of rotation on the instability of radial orbits in collisionless gravitating systems (elliptical galaxies, bulges of disk galaxies, etc.) is examined. The dispersion relationship for the exactly solved problem of small perturbations in the simplest model of a rotating spherical cluster with highly elongated stellar orbits is derived and investigated.

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