Connecting global to local parameters in barred galaxy models

We present connections between global and local parameters in a realistic dynamical model, describing motion in a barred galaxy. Expanding the global model in the vicinity of a stable Lagrange point, we find the potential of a two-dimensional perturbed harmonic oscillator, which describes local moti...

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Bibliographic Details
Published in:Journal of astrophysics and astronomy 2002-12, Vol.23 (3-4), p.173-183
Main Author: Caranicolas, N D
Format: Article
Language:English
Subjects:
Angular velocity
Astronomical models
Astrophysics
Barred galaxies
Dynamic models
Galaxies
Harmonic oscillators
Lagrangian equilibrium points
Modelling
Parameters
Stars & galaxies
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Summary:We present connections between global and local parameters in a realistic dynamical model, describing motion in a barred galaxy. Expanding the global model in the vicinity of a stable Lagrange point, we find the potential of a two-dimensional perturbed harmonic oscillator, which describes local motion near the centre of the global model. The frequencies of oscillations and the coefficients of the perturbing terms are not arbitrary but are connected to the mass, the angular rotation velocity, the scale length and the strength of the galactic bar. The local energy is also connected to the global energy. A comparison of the properties of orbits in the global and local potential is also made.
ISSN:0250-6335
0973-7758
DOI:10.1007/BF02702281