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Periodic motions in a gravitational central field with a rotating external force |
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| Authors: | Alessandro Fonda Rodica Toader Pedro J Torres |
| Institution: | 1. Dipartimento di Matematica e Geoscienze, Universit?? di Trieste, P.le Europa 1, 34127, Trieste, Italy 2. Dipartimento di Matematica e Informatica, Universit?? di Udine, Via delle Scienze 206, 33100, Udine, Italy 3. Departamento de Matem??tica Aplicada, Universidad de Granada, Campus de Fuentenueva, 18071, Granada, Spain |
| Abstract: | We consider a Kepler problem, with an additional rotating external force, and study the existence of periodic solutions when a small perturbative term is introduced. Surprisingly enough, we always get at least one of such solutions. Moreover, if a nonresonance assumption is added, then the existence of a second solution is also proved. |
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