On the Density-Wave Theory of Galactic Spirals. I. Spiral Structure as a Normal Mode of Oscillation

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Abstract
[[abstract]]An exact formulation of the linearized problem, including appropriate boundary conditions, is developed to explore whether extensive galactic density waves of spiral form are permissible normal modes of oscillation for a stellar disk. An “anti-spiral theorem,” of the type reported previously by Lynden-Bell and Ostriker for neutral modes in a gaseous disk, holds here with limited validity─namely, whenever the effects of stellar resonances can be ignored.[[fileno]]2010118010134[[department]]物理

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