Classification of Motions for Generalization of the two Centers Problem on a Sphere |
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Authors: | T G Vozmischeva |
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Institution: | (1) Department of Applied Mathematics, Izhevsk State Technical University, Izhevsk, 426069, Studencheskaya st. 7, Russia |
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Abstract: | The generalization of a test particle motion in a central field of two immovable point-like centers to the case of a constant
curvature space, on a three-dimensional sphere, is investigated in the paper. The bifurcation set in the plane of integrals
of motion is constructed and the classification of the domains of possible motion is carried out on a two-dimensional sphere.
The regularization of the Kepler’s problem on a two-dimensional sphere is carried out.
This revised version was published online in July 2006 with corrections to the Cover Date. |
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Keywords: | two centers problem bifurcation set Kepler problem regularization |
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