The Mass of the Classical Cepheid S Muscae

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Abstract
A good determination of the mass-luminosity relation for evolved stars on blue loops can determine the degree of excess mixing in the interiors of their main-sequence companions. In this study we determine the dynamical mass of the Cepheid binary S Muscae. This can be combined with its known luminosity and be fitted on evolutionary tracks to determine the amount of mixing in the main-sequence progenitor. Using the Goddard High Resolution Spectrograph on the Hubble Space Telescope we have measured the orbital radial velocity changes for the companion of the Cepheid S Mus. Spectra taken at minimum and maximum orbital velocities were cross-correlated. The velocity difference was measured to be 30.6 ± 0.4 km s-1. The difference for the orbital velocities of the Cepheid for the same phases was determined to be 26.9 km s-1 ± 0.4 km s-1. This gives a velocity ratio of 1.14 ± 0.02, which gives us the mass ratio for the companions. Adding possible centering errors of the target in the entrance apertures the error limit would be increased to ±0.06. The derived spectral types of the companion S Mus B range from B3 V to B5 V depending on the criterion used to determine it, with an average spectral type B3.8 V. Using the average spectral type and the main-sequence mass-spectral type relation from Andersen & Harmanec we find for S Mus B a mass of 5.2 ± 0.2 M☉. With the newly determined mass ratio the mass for the Cepheid S Mus A comes out to be 5.9+ 0.7−0.6 M☉. Taking the mass of 5.9 M☉ at face value and adopting the absolute visual magnitude of Mv = -4.29 (log L/L☉ = 3.62) for the Cepheid S Mus this indicates mixing in its main-sequence progenitor slightly in excess of the one assumed for the Maeder and Meynet evolutionary tracks. The present uncertainties in mass and luminosity prevent, however, a firm conclusion about the exact degree of mixing.

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