Boltzmann equation approach to the N-body problem with masses varying according to the Eddington-Jeans law

Astronomy and Astrophysics – Astronomy

Scientific paper

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Boltzmann Transport Equation, Galactic Clusters, Galactic Evolution, Galactic Mass, Many Body Problem, Poisson Equation, Star Clusters, Stellar Mass, Particle Theory, Stellar Evolution, Virial Theorem

Scientific paper

We study special aspects of the N-body problem with masses varying
according to the Eddington-Jeans law with powers n=2 and 3. Our main
result is that a particular set of variables can be found that allows
one to write the pertinent Boltzmann and Poisson equations in a fashion
similar to that corresponding to the usual fixed mass situation.

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