Phase-space structure and regularization of Manev-type problems

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dc.contributor.authorDiacu, F.
dc.contributor.authorMioc, V.
dc.contributor.authorStoica, C.
dc.date.accessioned2010-02-19T22:42:01Z
dc.date.available2010-02-19T22:42:01Z
dc.date.copyright1996en
dc.date.issued2010-02-19T22:42:01Z
dc.description.abstractWe 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.en
dc.identifier.urihttp://hdl.handle.net/1828/2236
dc.language.isoenen
dc.relation.ispartofseriesDMS-755-IRen
dc.subjecttechnical reports (mathematics and statistics)
dc.subject.departmentDepartment of Mathematics and Statistics
dc.titlePhase-space structure and regularization of Manev-type problemsen
dc.typeTechnical Reporten

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