Pulsation of double-mode Cepheids and comments on the problem of Cepheid masses

The double mode Cepheids are stars, found near the low luminosity end of the Population I Cepheid strip, which display a mixture of modes where the longer of the two periods is between two and four days. It is usually assumed that the mixture is composed of fundamental and first harmonic modes. In order to obtain the various physical parameters for the double mode Cepheids, the pulsation constant, Q, is determined in the period-mean-density relation for realistic stellar models, by making use of a linearized nonadiabatic analysis. By studying a large number of models that obey a variety of mass luminosity relations, simple fitting formulas for the pulsation constants are obtained.