Mathematics
Scientific paper
Apr 1979
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1979stam...60...97l&link_type=abstract
Studies in Applied Mathematics, vol. 60, Apr. 1979, p. 97-163. NSF-supported research.
Mathematics
88
Density Wave Model, Dynamic Characteristics, Galactic Structure, Gravitational Effects, Spiral Galaxies, Asymptotic Methods, Dynamic Models, Hubble Diagram, Interstellar Matter, Mass Distribution, Optical Properties, Stellar Models, Stellar Motions
Scientific paper
A study of the density wave theory of spiral structure in galaxies as a dynamical problem of the gravitational instability of a galactic disk with respect to spiral modes is presented. The asymptotic theory for tightly wound spirals is discussed; the fluid dynamical model is adopted with a reference to the stellar dynamical model. The physical basis of the density wave theory is analyzed, noting the Hubble classification of galaxies and existence of unstable spiral modes; a mathematical formulation of the dynamical problem is made considering the mass distribution in a galaxy and the stellar component.
Lau Y. Y.
Lin Chaney
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