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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Fonda, A., Toader, R. & Torres, P.J. Periodic motions in a gravitational central field with a rotating external force. Celest Mech Dyn Astr 113, 335–342 (2012). https://doi.org/10.1007/s10569-012-9428-9
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DOI: https://doi.org/10.1007/s10569-012-9428-9