Previrialization

Astronomy and Astrophysics – Astrophysics

Scientific paper

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48

Astronomical Models, Dark Matter, Galactic Clusters, Gravitational Collapse, Mass Distribution, Virial Theorem, Many Body Problem, Perturbation Theory, Spiral Galaxies

Scientific paper

The relation between the virialized mass concentrations produced in a hierarchical gravitational instability picture and the amplitude of the primeval mass fluctuations is estimated. The analysis starts from an explicit construction of a developing protocluster and deduces the particle orbits that lead to the development of this system out of a homogeneous mass distribution. The solution yields a fairly direct measure of the primeval mass contrast and eliminates the possibility of unrealistic two-body relaxation during formation of the protocluster because early orbit crossing is suppressed.

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