Applications of linear pulsation theory to the Cepheid mass problem and the double-mode Cepheids

Details Applications of linear pulsation theory to the Cepheid mass problem and the double-mode Cepheids Applications of linear pulsation theory to the Cepheid mass problem and the double-mode Cepheids

Jan 1975

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1975apj...195..467k&link_type=abstract

Astrophysical Journal, vol. 195, Jan. 15, 1975, pt. 1, p. 467-474. AEC-sponsored research

Astronomy and Astrophysics

Astrophysics

29

Astronomical Models, Cepheid Variables, Dynamic Stability, Mass Ratios, Stellar Mass, Stellar Temperature, Harmonic Oscillation, Line Spectra, Modal Response, Stellar Spectra, Ubv Spectra

Scientific paper

Linear pulsation constants and transition lines for Cepheids with hydrogen mass fractions of 0.7 and 0.8 and heavy-element mass fraction of 0.02 are presented. These results are applied to the problem of the Cepheid mass discrepancy where it is found that self-consistent masses may be obtained if a color-temperature scale is used which reduces Cepheid effective temperatures by 300-650 K below those usually assumed. This cooler scale closely resembles a recently proposed theoretical scale. Using the linear results, the masses and radii of eight double-mode Cepheids are also obtained. For one of these stars, U TrA, we find that in order to obtain a ratio of first-harmonic to fundamental periods close to the observed value and at the same time for it to be unstable in both modes it must be overluminous for its mass and lie near the red instability edge.

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