Galactic Tidal Limits on Star Clusters. II. Tidal Radius and Outer Dynamical Structure

Astronomy and Astrophysics – Astrophysics

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Scientific paper

The elliptic and circular restricted three body systems were used to model the effects of the tidal field of the Galaxy on globular and open star clusters respectively. The zero mass particles (stars) initially bound to the cluster had their orbits integrated over a number of galactic orbit periods. Statistics, indicating the effect of the Galaxy, were compiled for ensembles of "stars" in initially radial and circular orbits as well as for more isotropic distributions. It is found that the King (1962) estimate of the tidal radius RKT is too large. Also previous results on the superior stability of low eccentricity retrograde orbits were confirmed. Clusters with their outer regions having an initial isotropic velocity distribution will end up with a retrograde rotation due to tidal stripping of direct orbits. Clusters with radial orbits in their outer regions will end up with direct rotation due to tidal torque. Without exception it was found that the sign of the binding energy of a star to the cluster was the best criterion of whether a star was bound or escaping. It was found that tidal fields cannot produce an isotropic velocity distribution in the outer regions from an initially non isotropic distribution.

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