Clusters of galaxies compared with N-body simulations - Masses and mass segregation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Galactic Clusters, Many Body Problem, Mass Distribution, Celestial Mechanics, Computerized Simulation, Harmonic Motion, Kinetic Energy, Potential Energy, Radii, Velocity Distribution

Scientific paper

In the present paper, Wielen's (1974) three virially stable N-body simulations are used to show that the expression for the total mass, derived from averaged quantities (velocity dispersion and mean harmonic radius) yields an overestimate of the mass by as much as a factor of 2 to 3. An estimate of the mass, using mass weighted quantities (i.e., derived from the customary definition of kinetic and potential energies) yields a better value irrespective of mass sample as applied to late intervals of the models. The uncertainty is at most 50 percent.

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