Stability limits for 'isothermal' cores in globular cluster models - Two-component systems

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Astronomical Models, Dynamic Stability, Globular Clusters, Stellar Motions, Stellar Systems, Mathematical Models, Monte Carlo Method

Scientific paper

Using models that give the best fit to quasi-isothermal cores of one-mass stellar systems in Monte Carlo calculations, the stable equilibria of energy-truncated models for stellar systems with two masses, m(1) and m(2) greater than m(1), are calculated. A relation is established between stable quasi-isothermal cores and a critical value found by Spitzer (1969). It is also noted that, in critically stable configurations whose S value is smaller than 0.16, massive stars reduce the total binding energy but augment both the escape energy from the core and the degree of equipartition of energy at the center. In view of the extent to which the energy-truncated models are good representations of the core, it is concluded that a small number of massive stars can have a slight stabilizing effect.

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