Astronomy and Astrophysics – Astrophysics
Scientific paper
Oct 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977apj...217..160s&link_type=abstract
Astrophysical Journal, Part 1, vol. 217, Oct. 1, 1977, p. 160-170.
Astronomy and Astrophysics
Astrophysics
20
Cepheid Variables, Resonance, Stellar Mass, Variable Stars, Iteration, Nonadiabatic Conditions, Stellar Models, Stellar Motions, Stellar Structure, Velocity Distribution
Scientific paper
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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