Manuele Santoprete
Symmetric Periodic Solutions of the Anisotropic Manev Problem
(39K, LaTeX)

ABSTRACT.  We consider the Manev Potential in an anisotropic space, i.e., such that 
 the force acts differently in each direction. Using a generalization of 
 the Poincare' continuation method we study the existence of periodic 
solutions for weak anisotropy. In particular we find that the 
symmetric periodic orbits of the Manev system are perturbed to 
periodic orbits in the anisotropic problem.