Clusters of galaxies compared with N-body simulations - The set of separation vectors

Mathematics

Scientific paper

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Frequency Distribution, Galactic Clusters, Many Body Problem, Computerized Simulation, Gravitational Effects, Harmonics, Vectors (Mathematics), Virial Theorem

Scientific paper

The set of separation vectors for three N-body simulations provided by Wielen (1974) is used to derive the mean radii, mean harmonic radii, clumpiness parameters, and concentration indexes as a function of mass sample and of time for each model. Frequency distributions of the separation vectors are also presented for each model as a function of mass sample and of time. These data are compared with the data for observed clusters provided by Hickson (1977). Close parallels between the model data and the data for observed clusters are discussed, including the time development of structure in the frequency distributions of separations.

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