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A method is given for the discovery of models for unrelaxed, self gravitating, axialiy-symmetrical, steady-state stellar systems. The main problem solved is to find the distribution function corresponding to an observed density variation. The method is applied in a simple case to give a one-parameter family of such exact models. Finally the “relaxation condition”, that there be no star streaming but only rotation, is imposed. The density of the system then specifies it uniquely. We are thus able to give an exact description of models for rotating flattened globular clusters.
D. Lynden–Bell (Wed,) studied this question.