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Generalized Problem of Two and Four Newtonian Centers |
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| Authors: | |
| Institution: | (1) Institute of Computer Science, Udmurt State University, 1, Universitetskaya str., 426034 Izhevsk, Russia |
| Abstract: | We consider integrable spherical analog of the Darboux potential, which appear in the problem (and its generalizations) of the planar motion of a particle in the field of two and four fixed Newtonian centers. The obtained results can be useful when constructing a theory of motion of satellites in the field of an oblate spheroid in constant curvature spaces. |
| Keywords: | spherical two (and four) centers problem Newtonian potential sphero-conical coordinates separation of variables |
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