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Periodic motions in forced problems of Kepler type |
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| Authors: | Pablo Amster Juli��n Haddad Rafael Ortega Antonio J. Ure?a |
| Affiliation: | 1. Departamento de Matem??tica, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires. Ciudad Universitaria, Pabell??n I, 1428, Buenos Aires, Argentina 2. Consejo Nacional de Investigaciones Cient??ficas y T??cnicas (CONICET), Buenos Aires, Argentina 3. Departamento de Matem??tica Aplicada, Facultad de Ciencias, Universidad de Granada, 18071, Granada, Spain |
| Abstract: | 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. |
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