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Norman R. Simon Papers

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Document Type

Article

Date of this Version

10-1-1977

Citation

THE ASTROPHYSICAL JOURNAL, 217: 160-170, 1977 October 1

Comments

Copyright 1977 American Astronomical Society

Abstract

A second-order iterative nonlinear pulsation theory is generalized to the nonadiabatic case, and employed to treat Cepheid models with linear normal-mode periods lying in the vicinity of the resonance P2/P0 = 0.5. It is shown that resonance effects occurring in the second-order terms influence the phases at which maxima appear on the theoretical velocity curves. Comparison of the iterative velocity curves with those given by hydrodynamic integration indicates good agreement in a sizable number of cases. Discrepancies which appear in a number of models are discussed. It is argued that the results of the present investigation strengthen the case for associating the bumps on Cepheid velocity curves with the resonance P2/P0 = 0.5. A brief discussion of the Cepheid "bump mass" anomaly concludes the article.

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