Gravitational N-body problem and the validity of concepts of the gas model

Astronomy and Astrophysics – Astronomy

Scientific paper

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Astronomical Models, Gravitational Collapse, Many Body Problem, Star Clusters, Stellar Evolution, Stellar Motions, Celestial Mechanics, Continuum Modeling, Gas Dynamics, Heat Transfer, Thermal Instability, Velocity Distribution

Scientific paper

This paper concerns the relation between N-body systems and continuum models of stellar dynamics. A 1000-body calculation is examined for the validity of concepts used in gaseous models simulating N-body systems. Moments of velocity distribution are defined with respect to subsystems (10 shells). When moments are averaged in time and over a shell large enough, heat flows down the gradient in velocity dispersion. Redistribution of heat is a mechanism which contributes to core-collapse and core-halo formation. The coefficient of heat conductivity is in fair agreement with simple theoretical considerations.

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