Periodic orbits of the generalized Friedmann-Robertson-Walker potential in galactic dynamics in a rotating reference frame

Periodic orbits of the generalized Friedmann-Robertson-Walker potential in galactic dynamics in a rotating reference frame

In this work, we study analytically the existence of periodic solution for Friedmann- Robertson-Walker Hamiltonian systems in a rotating frame using average theory of first order. The stability of these periodic solutions is investigated. Moreover, the Friedmann-Robertson-Walker Hamiltonian systems...

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Veröffentlicht in:AIP advances 2017-03, Vol.7 (3), p.035021-035021-8
Hauptverfasser: El-Dessoky, M. M., Elmandouh, A. A., Hobiny, Aatef
Format: Artikel
Sprache:eng
Schlagworte:
Galactic rotation
Hamiltonian functions
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Zusammenfassung:In this work, we study analytically the existence of periodic solution for Friedmann- Robertson-Walker Hamiltonian systems in a rotating frame using average theory of first order. The stability of these periodic solutions is investigated. Moreover, the Friedmann-Robertson-Walker Hamiltonian systems in a rotating frame is proved to be non-integrable.
ISSN:2158-3226
2158-3226
DOI:10.1063/1.4979583