Abstract
Using a bulk potential, we construct a one-dimensional toroidal layer with corresponding density for the mass distribution. We determine the density of a simple layer, and also find the potential of a simple layer distributed along the surface of an elliptical torus of revolution with density depending on distance as measured along the normal between a tangent plane and the center of the torus.
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Translated from Matematicheskie Metody i Fiziko-Mekhanicheskie Polya, No. 29, pp. 85–87, 1989.
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Shishkanova, S.F. Potential of a simple layer for a torus with density depending on the distance from a tangent plane to the center. J Math Sci 65, 1801–1803 (1993). https://doi.org/10.1007/BF01097238
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DOI: https://doi.org/10.1007/BF01097238