Symmetric Periodic Solutions of the Anisotropic Manev Problem

Details Symmetric Periodic Solutions of the Anisotropic Manev Problem Symmetric Periodic Solutions of the Anisotropic Manev Problem

2002-01-11

arxiv.org/abs/nlin/0201018v1

Nonlinear Sciences

Chaotic Dynamics

Latex

Scientific paper

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.

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