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Gravitational theories of spiral structure

Published online by Cambridge University Press:  14 August 2015

G. Contopoulos
G. Contopoulos*
Affiliation:
University of Chicago, Chicago, Ill., U.S.A.∗

Abstract

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The basic ideas and some of the most important recent developments of the gravitational theories of spiral structure are described. A separation between linear and non linear effects is made. The linear self consistent problem consists of the problem of modes and of the initial value problem, which is discussed here in some detail. More emphasis is put on the non linear problem near resonances and in particular the inner Lindblad resonance. The linear density response to a slightly growing spiral potential (trailing or leading) near the inner Lindblad resonance is always trailing, while non linear effects form a density distribution with a roughly quadruple symmetry.

Type
Part III/Theory of Spiral Structure
Information
Symposium - International Astronomical Union , Volume 38: The Spiral Structure of our Galaxy , 1970 , pp. 303 - 316
Copyright
Copyright © Reidel 1970 

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