Empirical L-M, R-M, and M-Teff relations for main-sequence stars: Components of close binary systems and low-mass stars

Astronomy and Astrophysics – Astronomy

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Scientific paper

A new catalog of photometric, geometric, and absolute elements of 112 detached main-sequence eclipsing variables with known photometric and spectroscopic orbital elements has been combined with speckle-interferometry data for low-mass stars to yield new mass-luminosity, mass-radius, and mass-spectrum relations: M_bol = 4.46 - 9.52 - (lg M > -0.4), M_bol = 6.18 - 5.91 lg M (lg M <= -0.4); lg R = 0.096 + 0.652 lg M (lg M > 0.14), lg R = 0.10 + 1.03 lg M (lg M <= 0.14); lg M = - 5.60 + 1.504 lg T_eff (lg T_eff > 3.6), and lg M = - 29.4 + 8.2 lg T_eff (lg T_eff <= 3.6). In most cases, the component masses and radii used are accurate to 2-3 and 2-4%, respectively; the errors for low-mass stars are larger by factors of 3-4. The coefficients in the relations were derived using linear least squares fitting with corrections for noise in the independent variable.

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