Catastrophe theory and stellar systems

Statistics – Computation

Scientific paper

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Catastrophe Theory, Computational Astrophysics, Stellar Systems, Black Holes (Astronomy), Dynamical Systems, High Temperature

Scientific paper

The manifestation of a gravothermal catastrophe for a stellar system containing a massive central body is examined from the point of view of catastrophe theory. It is shown that the catastrophe of A2 type that holds for a system without a massive center persists in this case too and does not become a cusp. The catastrophe occurs at higher temperatures of the system and lower values of the density contrast.

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