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Resonant Stellar Orbits in Spiral Galaxies

Published online by Cambridge University Press:  14 August 2015

P. O. Vandervoort
P. O. Vandervoort*
Affiliation:
University of Chicago, Chicago, Ill., U.S.A.

Abstract

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This paper reviews a series of investigations of the orbits of stars in the regions of the Lindblad resonances of a spiral galaxy. The analysis is formulated in an epicyclic approximation. Analytic solutions of the epicyclic equations of motion are obtained by the method of harmonic balance of Bogoliubov and Mitropolsky. These solutions represent the resonance phenomena exhibited by the orbits in generally excellent agreement with numerical solutions.

Type
Part II/Flattened Systems
Information
Symposium - International Astronomical Union , Volume 69: Dynamics of Stellar Systems , 1975 , pp. 237 - 244
Copyright
Copyright © Reidel 1975 

References

Bogoliubov, N. N. and Mitropolsky, Y. A.: 1961, Asymptotic Methods in the Theory of Non-Linear Oscillations, Gordon and Breach, New York, § 14.Google Scholar
Contopoulos, G.: 1970, Astrophys. J. 160, 113.Google Scholar
Vandervoort, P. O.: 1973, Astrophys. J. 180, 739.Google Scholar
Vandervoort, P. O.: 1975, Astrophys. J. (to be submitted).Google Scholar
Vandervoort, P. O. and Monet, D. G.: 1975, Astrophys. J. (to be submitted).Google Scholar