Radial periodic perturbations of the Kepler problem

We consider radial periodic perturbations of a central force field and prove the existence of rotating periodic solutions, whose orbits are nearly circular. The proof is mainly based on the Implicit Function Theorem, and it permits to handle some small perturbations involving the velocity, as well. Our results apply, in particular, to the classical Kepler problem.



Titolo: Radial periodic perturbations of the Kepler problem
Autori: 
FONDA, ALESSANDRO (Corresponding)
GALLO, ANNA CHIARA
Data di pubblicazione: 2017
Stato di pubblicazione: Pubblicato
Rivista: 
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY  
Abstract: We consider radial periodic perturbations of a central force field and prove the existence of rotating periodic solutions, whose orbits are nearly circular. The proof is mainly based on the Implicit Function Theorem, and it permits to handle some small perturbations involving the velocity, as well. Our results apply, in particular, to the classical Kepler problem.
Handle: http://hdl.handle.net/11368/2912054
Digital Object Identifier (DOI): http://dx.doi.org/10.1007/s10569-017-9769-5
URL: https://link.springer.com/article/10.1007%2Fs10569-017-9769-5
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