Numerical experiments on the effect of massive central systems on the virial binding energy of clusters

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Computer Programs, Galactic Clusters, Gravitational Effects, Star Distribution, Virial Theorem, Abundance, Binary Stars, Binding, Density Distribution, Energy Distribution, Missing Mass (Astrophysics)

Scientific paper

A program has been developed to evaluate the gravitational binding energy of a clumpy cluster composed of N particles with a given mass dispersion, a given abundance of binaries, and a given massive binary system at the center. In application to clusters of galaxies nucleated by massive cD binaries, it is found that the gravitational binding energy is typically greater than the equivalent smooth distribution by a factor in the range from 2 to 12. This suggests that the 'missing' mass problem in clusters of galaxies can be reduced by an order of magnitude if the correct binding energy is used in the virial theorem.

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