1. Invariant manifolds as building blocks for the formation of spiral arms and rings in barred galaxies
- Author
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Romero-Gomez, M., Athanassoula, E., Masdemont, J. J., and Garcia-Gomez, C.
- Subjects
Nonlinear Sciences::Chaotic Dynamics ,Mathematics::Dynamical Systems ,Astrophysics (astro-ph) ,FOS: Physical sciences ,Astrophysics::Earth and Planetary Astrophysics ,Astrophysics::Cosmology and Extragalactic Astrophysics ,Astrophysics ,Astrophysics::Galaxy Astrophysics - Abstract
We propose a theory to explain the formation of spiral arms and of all types of outer rings in barred galaxies, extending and applying the technique used in celestial mechanics to compute transfer orbits. Thus, our theory is based on the chaotic orbital motion driven by the invariant manifolds associated to the periodic orbits around the hyperbolic equilibrium points. In particular, spiral arms and outer rings are related to the presence of heteroclinic or homoclinic orbits. Thus, R1 rings are associated to the presence of heteroclinic orbits, while R1R2 rings are associated to the presence of homoclinic orbits. Spiral arms and R2 rings, however, appear when there exist neither heteroclinic nor homoclinic orbits. We examine the parameter space of three realistic, yet simple, barred galaxy models and discuss the formation of the different morphologies according to the properties of the galaxy model. The different morphologies arise from differences in the dynamical parameters of the galaxy., Comment: 8 pages, 4 figures, in the proceedings of the conference: "Chaos in Astronomy", Athens, September 2007, G. Contopoulos and P.A. Patsis (eds), to be published by Springer
- Published
- 2008
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