Periodic solutions of radially symmetric perturbations of Newtonian systems

Fonda, Alessandro; Toader, Rodica

doi:10.1090/S0002-9939-2011-10992-4

Periodic solutions of radially symmetric perturbations of Newtonian systems
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by Alessandro Fonda and Rodica Toader PDF

Proc. Amer. Math. Soc. 140 (2012), 1331-1341 Request permission

Abstract:

The classical Newton equation for the motion of a body in a gravitational central field is here modified in order to include periodic central forces. We prove that infinitely many periodic solutions still exist in this case. These solutions have periods which are large integer multiples of the period of the forcing and rotate exactly once around the origin in their period time.

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