ADIABATIC INVARIANTS IN STELLAR DYNAMICS .3. APPLICATION TO GLOBULAR-CLUSTER EVOLUTION

The previous two companion papers demonstrate that slowly varying perturbations may not result in adiabatic cutoffs and provide a formalism for computing the long-term effects of time-dependent perturbations on stellar systems. Here, the theory is implemented in a Fokker-Planck code and a suite of runs illustrating the e effects of shock heating on globular cluster evolution are described. Shock heating alone results in considerable mass loss for clusters with R(g) less than or similar to 8 kpc: a concentration c = 1.5 cluster with R(g) = 8 kpc loses up to 95% of its initial mass in 15 Gyr. Only those with concentration c greater than or similar to 1.3 survive disk shocks inside of this radius. Other effects, such as mass loss by stellar evolution, will decrease this survival bound. Loss of the initial halo together with mass segregation leads to mass spectral indices, x, which may be considerably larger than their initial values.