Theoretical multi-mass models for clusters of galaxies

Astronomy and Astrophysics – Astrophysics

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Astronomical Models, Equipartition Theorem, Galactic Clusters, Mass Spectra, Relaxation Time, Two Body Problem, Distribution Functions, Dynamic Models, Globular Clusters, Intergalactic Media, Interstellar Gas, Kinetic Energy, Self Consistent Fields

Scientific paper

Theoretical investigations on the effects of a mass spectrum on the relaxation of clusters of galaxies, especially on the equipartition of kinetic energy, lead to consider two stages: violent and two-body relaxations. A distribution function is introduced including a mass spectrum where a phenomenological velocity cut-off allows to account for the actual dynamical state. It is shown that this mass spectrum must be accounted for in the dynamical analysis of clusters of galaxies. This leads to build self-consistent multi-mass models (MMM) whose main feature is to account for various degrees of mass segregation. Dynamical analysis is discussed where particular emphasis is given to the problem of hidden matter and a general fitting procedure is introduced. Finally it is applied to the study of A 194 from which we deduce that the MLR of the complete sample chosen is about 50.

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