New families of periodic orbits for a galactic potential

New families of periodic orbits for a galactic potential

Agraïments: Fundación Séneca de la Región de Murcia grant number 19219/PI/14. The Hamiltonian system associated to the Hamiltonian [ H=(P_1^2 P_2^2 P_3^2)/2 (Q_1^2 Q_2^2 Q_3^2)/2 (Q_1^4 Q_2^4 Q_3^4 a(Q_1^2Q_2^2 Q_1^2Q_3^2 Q_2^2Q_3^2)), ] where and a are parameters and is small, describes the local m...

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Hauptverfasser: de Bustos, Maria T, Llibre, Jaume, Guirao, Juan Luis Garcia, Vera, Juan A
Format: Artikel
Sprache:eng
Schlagworte:
Averaging theory
Family of periodic orbits
Galactic potential
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Zusammenfassung:Agraïments: Fundación Séneca de la Región de Murcia grant number 19219/PI/14. The Hamiltonian system associated to the Hamiltonian [ H=(P_1^2 P_2^2 P_3^2)/2 (Q_1^2 Q_2^2 Q_3^2)/2 (Q_1^4 Q_2^4 Q_3^4 a(Q_1^2Q_2^2 Q_1^2Q_3^2 Q_2^2Q_3^2)), ] where and a are parameters and is small, describes the local motion in the central area of a galaxy. Its dynamics have been study by many authors. Here we find analytically new families of periodic orbits of this Hamiltonian system.