Empirical effective temperatures and angular diameters of stars cooler than the sun

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Angular Distribution, Cool Stars, Stellar Atmospheres, Stellar Temperature, Diameters, Late Stars, Semiempirical Equations

Scientific paper

Empirical correlations of stellar surface brightness F(v) as a function of the Johnson's broadband (V-K)-color have been investigated by using a selected sample of 44 stars cooler than the sun with most of angular diameters accurately measured by modern Michelson interferometry. A linear correlation is found to well represent the brightness of G-K stars almost independently of their luminosity class. But the function is split in two fairly different branches of the giants and supergiants in the M spectral range. The calibration of supergiants enhances a tighter linear correlation which also spans the M-type stars. It appears unaffected by interstellar extinction and closely represents the behavior of several other cool objects such as M-dwarfs, carbon stars, and Mira-variables at their maximum phase. The photometric (F, V-K)-calibration is applied for inferring stellar angular dimensions and effective temperatures. The empirical (Te, V-K)-relationship of such stars is found to be in excellent agreement with the previous (Te, V-K) calibration for giants in the G-K spectral range and with the narrowband color temperature calibration in the M range. A reliable effective temperature of 3620 +/- 90 K is derived for the well-studied M-supergiant Alpha Ori by careful discussion of the actual temperature scale.

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