Statistics – Computation
Scientific paper
Jun 1988
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988mnras.232..733s&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 232, June 15, 1988, p. 733-752.
Statistics
Computation
45
Computational Astrophysics, Disk Galaxies, Galactic Rotation, Spiral Galaxies, Barred Galaxies, Coupled Modes, Galactic Evolution, Galactic Structure, Wentzel-Kramer-Brillouin Method
Scientific paper
Nonlinear mechanisms in their gaseous or stellar component should govern the long-term behavior of spiral galaxies. The nonlinear coupling of spiral or bar modes of different patterns speeds in an inhomogeneous stellar disk is derived. Using classical WKBJ and epicyclic approximations for density waves, the nonlinear perturbed densities and the corresponding, nonlinearly modified, growth rate are computed. The presence of resonances in the region where modes overlap enhances this coupling, making it quite efficient at reasonably low amplitudes. Furthermore, this mechanism provides a new way of closing the SWING or WASER amplification cycles for the coupled modes. This explains the results of recently published numerical simulations. Suggestions are then given for possible comparisons with certain observed barred spiral galaxies.
Athanassoula Evangelia
Pellat Rene
Sygnet Jean-Francois
Tagger Michel
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