On existence of periodic solutions for Kepler type problems

Pablo Amster, Julián Haddad

DOI: http://dx.doi.org/10.12775/TMNA.2016.053

Abstract


We prove existence and multiplicity of periodic motions for the
forced $2$-body problem under conditions of topological character.
In different cases, the lower bounds obtained for the number of
solutions are related to the winding number of a curve in the
plane and the homology of a space in $\mathbb R^3$.

Keywords


Forced 2-body problem; periodic solutions; multiplicity; averaging method; topological degree

Full Text:

PREVIEW FULL TEXT

Refbacks

  • There are currently no refbacks.

Partnerzy platformy czasopism