The evolution and final disintegration of spherical stellar systems in a steady galactic tidal field

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Globular Clusters, Many Body Problem, Stellar Evolution, Stellar Motions, Circular Orbits, Density Distribution, Fokker-Planck Equation, Gravitational Collapse, Tides

Scientific paper

The dynamical evolution of simplified N-body systems in steady galactic tidal field is followed using an orbit-averaged Fokker-Planck code through core collapse and quasi-static reexpansion phases. The mass of the cluster is found to decrease linearly during the reexpansion phase until the cluster totally disintegrates in a finite time. A modified treatment of tidal losses is presented where mass loss is not instantaneous at the tidal radius. The main source of mass loss is 'conductive flux' through the tidal boundary. The lifetime for total mass loss is found to be proportional to the initial number of stars times the tidal time scale. For a circular orbit around the galaxy, the total lifetime of a cluster with short initial relaxation time is about 0.005N orbital periods around the galaxy, where N is the initial number of stars in the cluster.

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