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Non-linear density waves in pressureless disks

Published online by Cambridge University Press:  14 August 2015

C. L. Berry  and
P. O. Vandervoort
C. L. Berry
Affiliation:
University of Chicago, Chicago, Ill., U.S.A.
P. O. Vandervoort
Affiliation:
University of Chicago, Chicago, Ill., U.S.A.

Abstract

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A method is described for the construction of a density wave of finite amplitude and in the form of a tightly wound spiral in a pressureless, self-gravitating disk of infinitesimal thickness in an external gravitational field. Waves of one kind are found for systems in which the law of rotation departs only slightly from that of a solid body. Waves of a second kind are found in systems possessing appreciable differential rotation; however, such waves can occur only if the self-gravitation of the disk is small compared with the external gravitation. The latter waves are to be identified with the waves described by linear theories.

Type
Part III/Theory of Spiral Structure
Information
Symposium - International Astronomical Union , Volume 38: The Spiral Structure of our Galaxy , 1970 , pp. 336 - 340
Copyright
Copyright © Reidel 1970 

References

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