The problem of finding the equilibrium configurations of uniform rotating charged liquid drops is considered. An analytic treatment is given based on a parametric expansion for small ellipsoidal distortions about a sphere. This treatment is applied to finding the ground-state configurations and the saddle-shaped configurations leading to fission as functions of charge and angular momentum of the drop. A variation-iteration method for generating the configurations of equilibrium is described. The method is applied to finding the con-figurations of equilibrium of axially symmetric drops over the range 0 ≤ x ≤ 1 and 0 ≤ y ≤ 0.5, where x is the ratio of the coulomb energy to twice the surface energy for a sphere, and y is the ratio of the rotational energy to the surface energy for a sphere. The energetics of these configurations are calculated;the fission thresholds are calculated in the range of applicability of the parametric expansions.
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