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 $\mathbb R^3$.
Citation
Pablo Amster. Julián Haddad. "On existence of periodic solutions for Kepler type problems." Topol. Methods Nonlinear Anal. 48 (2) 465 - 476, 2016. https://doi.org/10.12775/TMNA.2016.053
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