Gravitational clustering of galaxies - The probability distribution function

Statistics – Computation

Scientific paper

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Computational Astrophysics, Galactic Clusters, Gravitational Effects, Many Body Problem, Probability Distribution Functions, Astronomical Models, Computerized Simulation, Perturbation Theory

Scientific paper

The evolution of the probability distribution function, f(N), for finding N particles in a given volume for an infinite, homogeneous gravitating system with a Poissonian initial space distribution and a zero initial velocity distribution is determined. The evolution of f(N) was found to be consistent with the results of N-body simulations. The method is used to find f(N) for the same system, but with a nonzero initial velocity distribution.

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