A Separable Potential in Triaxially Ellipsoidal Coordinates Satisfying the Laplace Equation

Physics

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Scientific paper

This paper derives the most general potential function which allows separation of the hamilton-Jacobi equation in orthogonal coordinates and which satisfies the Laplace equation. The resulting potential is then specialized to the case of interest for near-Earth satellites, where the proper behavior of the potential at infinity is obtained and singularities in the region of interest are eliminated. The Vinti potential is found as a special case.

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