Periodic motions in forced problems of Kepler type
A Newtonian equation in the plane is considered. There is a central force (attractive or repulsive) and an external force λh(t), periodic in time. The periodic second primitive of h(t) defines a planar curve and the number of periodic solutions of the differential equation is linked to the number of...
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| Autores principales: | , , , |
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| Formato: | Artículo publishedVersion |
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2011
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| Acceso en línea: | http://hdl.handle.net/20.500.12110/paper_10219722_v18_n6_p649_Amster https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_10219722_v18_n6_p649_Amster_oai |
| Aporte de: |
| Sumario: | A Newtonian equation in the plane is considered. There is a central force (attractive or repulsive) and an external force λh(t), periodic in time. The periodic second primitive of h(t) defines a planar curve and the number of periodic solutions of the differential equation is linked to the number of loops of this curve, at least when the parameter λ is large. © 2011 Springer Basel AG. |
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