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Some Recent Developments in the Theory of Spiral Structure

Published online by Cambridge University Press:  14 August 2015

G. Contopoulos
G. Contopoulos*
Affiliation:
University of Thessaloniki, Greece

Extract

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The particle resonance in a galaxy is of special interest because, according to the recent theory of Lynden-Bell and Kalnajs (1972), it provides the excitation of the density waves. In particular it is of interest to know if the density wave reaches the particle resonance, because the dispersion relation derived by Lin and Shu (1966) has a forbidden region if the parameter where (with α0 the surface density and κ the epicyclic frequency), is larger than one. If Q= 1, Lin and Shu find two waves going through the resonance but the amplitude tends to infinity there.

Type
Research Article
Information
Symposium - International Astronomical Union , Volume 58: The Formation and Dynamics of Galaxies , 1974 , pp. 413 - 415
Copyright
Copyright © Reidel 1974 

References

Contopoulos, G.: 1973, Astrophys. J. 181, 657.CrossRefGoogle Scholar
de Vaucouleurs, G. and Freeman, K. C.: 1972, Vistas in Astronomy 14, 163.CrossRefGoogle Scholar
Lin, C. C. and Shu, F. H.: 1966, Proc. Nat. Acad. Sci. 55, 229.CrossRefGoogle Scholar
Lynden-Bell, D. and Kalnajs, A. J.: 1972, Monthly Notices Roy. Astron. Soc. 157, 1.CrossRefGoogle Scholar