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A new theory of gravitational shocking based on time-dependent perturbationtheory shows that the changes in energy and angular momentum due to a slowlyvarying disturbance are not exponentially small for stellar dynamical systemsin general. It predicts significant shock heating by slowly varyingperturbations previously thought to be negligible according to the adiabaticcriterion. The theory extends the scenarios traditionally computed only withthe impulse approximation and is applicable to a wide class of disturbances.The approach is applied specifically to the problem of disk shocking of starclusters.Comment: uuencoded compressed PostScript, Preprint 94-

Adiabatic invariants in stellar dynamics. 2: Gravitational shocking