Density wave theory of spiral structure of galaxies

Mathematics

Scientific paper

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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.

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