We consider periodic perturbations of a central force field having a rotational symmetry, and prove the existence of nearly circular periodic orbits. We thus generalize, in the planar case, some previous bifurcation results obtained by Ambrosetti and Coti Zelati. Our results apply, in particular, to the classical Kepler problem.
Periodic perturbations with rotational symmetry of planar systems driven by a central force
Fonda, Alessandro
;
2018-01-01
Abstract
We consider periodic perturbations of a central force field having a rotational symmetry, and prove the existence of nearly circular periodic orbits. We thus generalize, in the planar case, some previous bifurcation results obtained by Ambrosetti and Coti Zelati. Our results apply, in particular, to the classical Kepler problem.File in questo prodotto:
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