On the Periodic Structure of the Anisotropic Manev Problem

The aim of the present work is to provide sufficient conditions for the existence of periodic orbits of the first and second kind in the sense of Poincare for the Anisotropic Manev problem. Moreover, we are also able to provide information on the stability and bifurcations of the orbits obtained. The main tool that we use is the averaging theory of dynamical systems.