Astronomy and Astrophysics – Astrophysics
Scientific paper
Feb 1994
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994a%26a...282..835a&link_type=abstract
Astronomy and Astrophysics (ISSN 0004-6361), vol. 282, no. 3, p. 835-842
Astronomy and Astrophysics
Astrophysics
16
Cepheid Variables, Opacity, Orbital Resonances (Celestial Mechanics), Stellar Luminosity, Stellar Mass, Stellar Models, Stellar Orbits, Stellar Oscillations, Light Curve, Mathematical Models, Prediction Analysis Techniques
Scientific paper
The paper deals with models and observed properties of Cepheids with period less than about 10 days. Linear adiabatic periods and period ratios (or frequency ratios) of Cepheid models with augmented and new opacities have been computed taking into account standard and nonstandard mass-luminosity relations. A comparison of the results with the observed properties of fundamental, first overtone and double-mode Cepheids has yielded the following results: (1) The linear model results obtained for a nonstandard mass-luminosity relation predict the following resonances among pulsation modes with freqeuncy fi: the well known f2/f0 = 2 at Po about 10 days, and f4/f0 = 3 at Po about 6.7 days; f4/f1 = 2 at P1 about 3.2 days; f1 + f0 = f3 at Po about 6.5 days. (2) Probable effects produced by these resonances have been detected in the light curves of Cepheids at the expected periods: f2/f0 = 2 and f4/f0 = 3 in classical Cepheids; f4/f1 = 2 in first overtone Cepheids; f4/f1 = 2 and f1 + f0 = f3 in double-mode Cepheids. (3) A nonstandard mass luminosity relation is needed in order to compare fruitfully observed stars and models on the temperature-period (or luminosity) diagram, taking the resonance condition periods as reference points. It is not possible to get a similar agreement using the standard mass-luminosity relation, because the models have a lower luminosity and a much lower temperature than real stars.
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