Diacu, F.Mioc, V.Stoica, C.2010-02-192010-02-1919962010-02-19http://hdl.handle.net/1828/2236We 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.entechnical reports (mathematics and statistics)Technical ReportDepartment of Mathematics and Statistics