Astronomy and Astrophysics – Astrophysics
Scientific paper
May 1989
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989mnras.238..115s&link_type=abstract
Monthly Notices of the Royal Astronomical Society (ISSN 0035-8711), vol. 238, May 1, 1989, p. 115-131.
Astronomy and Astrophysics
Astrophysics
36
Astrophysics, Disk Galaxies, Dynamic Stability, Galactic Evolution, Galactic Structure, Many Body Problem, Power Spectra, Random Processes
Scientific paper
A major discrepancy between Toomre's theory of bar instabilities and recent N-body experiments is resolved. Toomre's prediction that bars ought to be inhibited by a low-mass but dense central bulge is shown to be correct for small amplitude perturbations but it is also demonstrated that such a model is merely meta-stable and will form a bar when subject to a large enough initial perturbation. Density fluctuations arising from tens of thousands of randomly distributed particles in N-body experiments are generally substantial enough to alter the predicted small amplitude behavior drastically. The different behavior at finite amplitude is largely attributable to saturation at inner Lindblad resonances.
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