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Three-dimensional potential of a homogeneous circular torus in terms of equigravitating elements
Authors:B. P. Kondrat’ev  A. S. Dubrovskii  N. G. Trubitsyna  E. Sh. Mukhametshina
Affiliation:1.Udmurt State University,Izhevsk, Udmurtia,Russia
Abstract:The complete system of the simplest equigravitating elements presented for a homogeneous circular torus comprises a compound one-dimensional rod consisting of three links with a purely imaginary density, as well as two real point masses located at the ends of the rod. In terms of these elements, the three-dimensional gravitational potential of the torus at an arbitrary point is derived. The surface of the potential is constructed, and the family of equipotential curves is found.
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