A necessary condition for equilibrium in stellar systems with a continuous mass spectrum

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Globular Clusters, Mass Spectra, Stellar Mass, Stellar Systems, Density Distribution, Equilibrium, Hydrostatics, Integral Equations, Star Distribution, Systems Stability

Scientific paper

Spitzer (1969) has derived the condition for the attainment of hydrostatic and thermal equilibrium in a two-component stellar system. The subsequent collapse of the self-gravitating system of heavy stars when this condition is not satisfied has been studied and verified numerically by Spitzer and Hart (1971). In the present paper, Spitzer's criterion is extended to cover a system with a continuous distribution of masses. The extended criterion makes it possible to apply Spitzer's results to real globular clusters.

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