Mathematics
Scientific paper
Sep 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985a%26a...150...83m&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 150, no. 1, Sept. 1985, p. 83-88.
Mathematics
2
Barred Galaxies, Orbit Perturbation, Orbital Mechanics, Branching (Mathematics), Equations Of Motion
Scientific paper
The study of three-dimensional orbits in barred galaxies is a necessary step toward the understanding of their three-dimensional structure and properties. This paper is a contribution to this study. The properties of the families of three-dimensional periodic orbits which bifurcate from the vertical critical periodic orbits of the retrograde family of quasicircular plane periodic orbits which extend from the galactic center up to infinity are studied. The values of the parameters are chosen in such a way as to cover the cases of a strong or weak bar with a fast or slow rotation and the computations extend at a large distance from the galactic center. A classification of the three-dimensional periodic orbits according to their symmetry and a classification of the vertical critical orbits according to their stability character are also presented.
Michalodimitrakis M.
Terzides Ch.
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