Precise calibration of the dependence of surface brightness-colour relations on colour and class for late-type stars

Abstract

Surface brightness-colour relations (SBCRs) are used to derive the stellar angular diameters from photometric observations. They have various astrophysical applications, such as the distance determination of eclipsing binaries or the determination of exoplanet parameters. However, strong discrepancies between the SBCRs still exist in the literature, in particular for early and late-type stars. We aim to calibrate new SBCRs as a function of the spectral type and the luminosity class of the stars. Our goal is also to apply homogeneous criteria to the selection of the reference stars and in view of compiling an exhaustive and up-to-date list of interferometric late-type targets. We implemented criteria to select measurements in the JMMC Measured Diameters Catalog (JMDC). We then applied additional criteria on the photometric measurements used to build the SBCRs, together with stellar characteristics diagnostics. We built SBCRs for F5/K7-II/III, F5/K7-IV/V, M-II/III and M-V stars, with respective RMS of ${\sigma }_{F_V}=0.0022$ mag, ${\sigma }_{F_V}=0.0044$ mag, ${\sigma }_{F_V}=0.0046$ mag, and ${\sigma }_{F_V}=0.0038$ mag. This results in a precision on the angular diameter of 1.0\%, 2.0\%, 2.1\%, and 1.7\%, respectively. These relations cover a large $V-K$ colour range of magnitude, from 1 to 7.5. Our work demonstrates that SBCRs are significantly dependent on the spectral type and the luminosity class of the star. Through a new set of interferometric measurements, we demonstrate the critical importance of the selection criteria proposed for the calibration of SBCR. Finally, using the Gaia photometry for our samples, we obtained (G-K) SBCRs with a precision on the angular diameter between 1.1\% and 2.4\%.

19 pages

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Cited by in corpus (8)

• A distance determination to the Small Magellanic Cloud with an accuracy of better than 2 percent based on late-type eclipsing binary stars
• The surface brightness - colour relations based on eclipsing binary stars and calibrated with Gaia EDR3
• HARPS-N high spectral resolution observations of Cepheids II. The impact of the surface-brightness color relation on the Baade-Wesselink projection factor of eta Aql
• Theoretical analysis of surface brightness-colour relations for late-type stars using MARCS model atmospheres
• CHARA/SPICA: a 6-telescope visible instrument for the CHARA Array
• Characterisation of magnetic activity of M dwarfs. Possible impact on the surface brightness
• Surface brightness-color relations for red giant branch stars using asteroseismic radii and Gaia distances (the ARD method)
• The SAPP pipeline for the determination of stellar abundances and atmospheric parameters of stars in the core program of the PLATO mission