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

Abstract

view Abstract Citations (33) References (35) Co-Reads Similar Papers Volume Content Graphics Metrics Export Citation NASA/ADS Application of linear pulsation theory to the cepheid mass problem and the double-mode cepheids. King, D. S. ; Hansen, C. J. ; Ross, R. R. ; Cox, J. P. Abstract 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. Publication: The Astrophysical Journal Pub Date: January 1975 DOI: 10.1086/153344 Bibcode: 1975ApJ...195..467K Keywords: Astronomical Models; Cepheid Variables; Dynamic Stability; Mass Ratios; Stellar Mass; Stellar Temperature; Harmonic Oscillation; Line Spectra; Modal Response; Stellar Spectra; Ubv Spectra; Astrophysics full text sources ADS | data products SIMBAD (3)