Abstract
In this paper, we extend and generalize Chandrasekhar's perturbation method on rotating white dwarfs. In particular, we include terms up to third-order in the perturbation parameter, in order to study rapid and critical rotations. We also construct a generalized model of rotation which includes as subcases both uniform and differential rotations. The numerical method, described in the present paper, is required for a subsequent quantitative treatment of the particular problem.
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