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.
Radial periodic perturbations of the Kepler problem
Fonda, Alessandro
;GALLO, ANNA CHIARA
2017-01-01
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.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2017_Fonda-Gallo_CMDA.pdf
Accesso chiuso
Tipologia:
Documento in Versione Editoriale
Licenza:
Digital Rights Management non definito
Dimensione
894.57 kB
Formato
Adobe PDF
|
894.57 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
