Mathematics
Scientific paper
May 1993
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993apj...409...91h&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 409, no. 1, p. 91-109.
Mathematics
112
Barred Galaxies, Galactic Evolution, Galactic Nuclei, Galactic Structure, Stellar Motions, Stellar Orbits, Branching (Mathematics), Computerized Simulation, Linear Programming, Many Body Problem, Poincare Problem
Scientific paper
The stellar dynamics at the transitions between a strongly barred and rotating potential and a spherical and dense central mass concentration is investigated in a model potential. Three different degrees of concentration of the central mass are studied. The main families of three-dimensional periodic orbit are found by numerical means. The structure of phase space is presented by bifurcation diagrams and surfaces of section. A large region of instability develops near the inner Lindblad resonance (ILR) due to the strong bar potential. In such a mass configuration the radial ILR is typically near the corresponding vertical ILR, consequently the instability of orbits is radial as well as vertical, helping the heating of disk stars into a bulge. These secular evolution processes from barred to unbarred and in the direction of increasing the bulge-to-disk ratio should affect the evolution of galaxies over a Hubble time.
Hasan Hashima
Norman Colin
Pfenniger Daniel
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