Classification of Motions for Generalization of the two Centers Problem on a Sphere

Details Classification of Motions for Generalization of the two Centers Problem on a Sphere Classification of Motions for Generalization of the two Centers Problem on a Sphere

Jul 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000cemda..77...37v&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, v. 77, Issue 1, p. 37-48 (2000).

Astronomy and Astrophysics

Astronomy

4

Two Centers Problem, Bifurcation Set, Kepler Problem, Regularization, Two Centers Problem, Bifurcation Set, Kepler Problem, Regularization

Scientific paper

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.

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