Potential distribution of a nonuniformly charged ellipsoid

Physics

Scientific paper

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Nonneutral Plasmas, Plasma Properties, Magnetohydrodynamics And Plasmas

Scientific paper

A convenient formula is obtained for fast calculation of the three-dimensional potential distribution associated with a spatially varying charge-density distribution by reconstructing it as a superposed set of nested spheroidal shells. It is useful for experimental analyses of near-equilibrium states of non-neutral plasmas and for quick evaluation of the gravity field associated with stellar mass distributions.

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