Phase-space structure and regularization of Manev-type problems

Date

2010-02-19T22:42:01Z

Authors

Diacu, F.
Mioc, V.
Stoica, C.

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Abstract

We define Manev-type potentials, which provide a unifying point of view for several problems of nonlinear particle dynamics, including the classical Kepler, Coulomb, and Manev problems. We first show that Manev-type models are the natural classical analog of general relativity for problems related to the solar system. Then, using McGehee coordinates and qualitative methods, we study the dynamics of Manev-type particle systems and determine the global flow of the equations of motion. Finally, we prove a general result concerning block- regularization of collision singularities and apply it to Manev-type models.

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