On existence of periodic solutions for Kepler type problems
Słowa kluczowe
Forced 2-body problem, periodic solutions, multiplicity, averaging method, topological degreeAbstrakt
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 $\mathbb R^3$.Pobrania
Opublikowane
2016-08-17
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1.
AMSTER, Pablo & HADDAD, Julián. On existence of periodic solutions for Kepler type problems. Topological Methods in Nonlinear Analysis [online]. 17 sierpień 2016, T. 48, nr 2, s. 465–476. [udostępniono 22.7.2024].
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