On existence of periodic solutions for Kepler type problems
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2013
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| Acceso en línea: | |
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| _version_ | 1866913661268787200 |
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| author | Amster, Pablo Haddad, Julián |
| author_facet | Amster, Pablo Haddad, Julián |
| contents | We prove existence and multiplicity of periodic motions for the forced 2-body problem under conditions of topological character. In the different cases, the lower bounds obtained for the number of solutions are related to the winding number of a curve in the plane, the homology of a space in $\R^3$, the knot type of a curve and the link type of a set of curves. Also, the results are applied to the restricted $n$-body problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1303_5600 |
| institution | arXiv |
| publishDate | 2013 |
| record_format | arxiv |
| spellingShingle | On existence of periodic solutions for Kepler type problems Amster, Pablo Haddad, Julián Classical Analysis and ODEs Algebraic Topology Differential Geometry Dynamical Systems 34B15, 34C25, 70K40 We prove existence and multiplicity of periodic motions for the forced 2-body problem under conditions of topological character. In the different cases, the lower bounds obtained for the number of solutions are related to the winding number of a curve in the plane, the homology of a space in $\R^3$, the knot type of a curve and the link type of a set of curves. Also, the results are applied to the restricted $n$-body problem. |
| title | On existence of periodic solutions for Kepler type problems |
| topic | Classical Analysis and ODEs Algebraic Topology Differential Geometry Dynamical Systems 34B15, 34C25, 70K40 |
| url | https://arxiv.org/abs/1303.5600 |