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Models of Elliptical Galaxies in 1–1–1 Resonance and their Normalization: The 3D Hénon and Heiles System

Published online by Cambridge University Press:  12 April 2016

S. Ferrer ,
A. Viartola ,
J. Palacián ,
P. Yanguas  and
J.F. San Juan
S. Ferrer
Affiliation:
Universidad de Zaragoza, Zaragoza, Spain
A. Viartola
Affiliation:
Universidad de Zaragoza, Zaragoza, Spain
J. Palacián
Affiliation:
Universidad Pública de Navarra, Pamplona, Spain
P. Yanguas
Affiliation:
Universidad Pública de Navarra, Pamplona, Spain
J.F. San Juan
Affiliation:
Universidad de la Rioja, Logroño, Spain

Abstract

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In this Note we study perturbed isotropic harmonic oscillators in 1–1–1 resonance, which is one of the typical cases of galactic potential models. We focus on cubic and quartic axial symmetric potentials giving explicitly their normal form. The 3D normalized Hénon and Heiles case, which requires to reach fourth order, is studied showing its relative equilibria and bifurcations.

Type
Theory of Motion
Information
International Astronomical Union Colloquium , Volume 165: Dynamics and Astrometry of Natural and Artificial Celestial Bodies , 1997 , pp. 425 - 430
Copyright
Copyright © Kluwer 1997

References

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