Astronomy and Astrophysics – Astronomy
Scientific paper
Feb 1982
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982sssmp..25..191x&link_type=abstract
Scientia Sinica, Series A - Mathematical, Physical, Astronomical and Technical Sciences, vol. 25, Feb. 1982, p. 191-202.
Astronomy and Astrophysics
Astronomy
Density Wave Model, Galactic Structure, Spiral Galaxies, Astronomical Models, Asymptotes, Eigenvalues, Eigenvectors, Quantum Numbers
Scientific paper
The propagation of a density wave over the symmetric plane of the galaxy disk is examined analytically with a simplified talaxy model in order to present numerical results of the amplitude distributions, pattern speed, and growth rates. The calculations are designed to find a mechanism which supports the continuous existence of galactic spiral arms. The dynamics of density waves are shown to include a series of growing modes with discrete spectra. The growth rate diminishes as the quantum number increases, and the position of the galactic corotation circle moves outward. The density wave displays a tunneling effect when encountering the potential barrier inherent to the corotation circle, and moves across the barrier.
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