Dynamical constraints during violent relaxation and their effects on the final state

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Astrophysics, Galactic Structure, Gravitational Collapse, Relaxation (Mechanics), Star Distribution, Stellar Systems, Clumps, Constraints, Density Distribution, Dynamic Characteristics, Many Body Problem, Star Clusters

Scientific paper

A previously described series of N-body models of the collapse of collisionless stellar systems from roughly spherical initial conditions are used to illustrate how certain properties of the final states may be related to dynamical constraints during the phase of violent relaxation. The finding that initially clumpy systems tend to approach a universal final density profile close to the observed r to the 1/4th law, while initially homogeneous spheres do not, is shown to be due to the fact that the angular momenta of individual particles are largely conserved during collapse in a spherically symmetric system. It is also shown that the structures of the final density profiles in the inner regions found in the previous models, which show a flattening-out of the profile below the r to the 1/4th law, are determined by conservation of fine-grained phase density.

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