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 in [1]. 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; Gallo, Anna Chiara. - In: JOURNAL OF DIFFERENTIAL EQUATIONS. - ISSN 0022-0396. - 264:12(2018), pp. 7055-7068. [10.1016/j.jde.2018.02.009]
Periodic perturbations with rotational symmetry of planar systems driven by a central force
Gallo, Anna Chiara
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 in [1]. Our results apply, in particular, to the classical Kepler problem.File in questo prodotto:
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