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

  1. Ferrer, S.
  2. Palacián, J.
  3. San Juan Díaz, Juan Félix
  4. Yanguas Sayas, Patricia
  5. Viartola, A.
Book:
Dynamics and Astrometry of Natural and Artificial Celestial Bodies

Publisher: Kluwer Academic Publishers

ISBN: 978-94-010-6330-2

Year of publication: 1997

Pages: 425-430

Type: Book chapter

WoS: WOS:A1997BJ40C00060 GOOGLE SCHOLAR

Abstract

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 Henon and Heiles case, which requires to reach fourth order, is studied showing its relative equilibria and bifurcations.