Theoretical analysis of surface brightness-colour relations for late-type stars using MARCS model atmospheres

Abstract

Surface brightness-colour relations (SBCRs) are largely used for general studies in stellar astrophysics and for determining extragalactic distances. Based on simulated spectra of late-type stars using MARCS model atmospheres, our aim is to analyse the effect of stellar fundamental parameters on the surface brightness. We also compare theoretical and recent empirical SBCRs. We used MARCS model atmospheres to compute spectra and the surface brightness of stars. We first explored the parameter space of MARCS (i.e. effective temperature, $\log g$, $[Fe/H]$, microturbulence, and mass) in order to quantify their impact on the surface brightness. Then we considered a relation between the effective temperature and $\log g$ for late dwarfs and giants, as well as a solar metallicity, in order to allow a consistent comparison of theoretical and empirical SBCRs. We find that the SBCR is not sensitive to the microturbulence and mass. The effect of metallicity on the SBCR is found to be larger for dwarfs than for giants. It is also larger when considering larger $V-K_s$ values. We also find that a difference of 0.5 dex in metallicity between Galactic and LMC SBCRs does not affect the recent LMC distance determination, based on eclipsing binaries, by more than 0.4%. By comparing theoretical with empirical SBCRs, we find a good agreement of less than 2$\sigma$ for F5-K7 dwarfs and giants stars, while a larger discrepancy is found for M dwarfs and giants (about 4-6$\sigma$). The surface gravity properties, as modelled in MARCS, explain the differences in the empirical SBCRs in terms of class. We finally find that theoretical and empirical SBCRs for Cepheids are consistent. Carefully considering metallicity and $\log g$ is mandatory when calibrating or using SBCRs.

References in corpus (55)

• Binary companions of evolved stars in APOGEE DR14: Search method and catalog of ~5,000 companions
• A grid of MARCS model atmospheres for late-type stars I. Methods and general properties
• A 2.4% Determination of the Local Value of the Hubble Constant
• Spectral Irradiance Calibration in the Infrared. XIV: the Absolute Calibration of 2MASS
• A distance to the Large Magellanic Cloud that is precise to one per cent
• Stellar Diameters and Temperatures II. Main Sequence K & M Stars
• Basic physical parameters of a selected sample of evolved stars
• The angular size of dwarf stars and subgiants - Surface brightness relations calibrated by interferometry
• The Absolute Magnitude of the Sun in Several Filters
• Trumpeting M Dwarfs with CONCH-SHELL: a Catalog of Nearby Cool Host-Stars for Habitable ExopLanets and Life
• Precise radial velocities of giant stars. III. Spectroscopic stellar parameters
• A distance determination to the Small Magellanic Cloud with an accuracy of better than 2 percent based on late-type eclipsing binary stars
• The CARMENES search for exoplanets around M dwarfs: Different roads to radii and masses of the target stars
• First Results from the CHARA Array VII: Long-Baseline Interferometric Measurements of Vega Consistent with a Pole-On, Rapidly Rotating Star
• Calibrating the Cepheid Period-Luminosity relation from the infrared surface brightness technique I. The p-factor, the Milky Way relations, and a universal K-band relation
• Predicting Stellar Angular Sizes
• Stellar Diameters and Temperatures IV. Predicting Stellar Angular Diameters
• Abundances in the Local Region II: F, G and K Dwarfs and Subgiants
• Age consistency between exoplanet hosts and field stars
• Cepheid distances from infrared long-baseline interferometry - I. VINCI/VLTI observations of seven Galactic Cepheids
• Calibrating the Cepheid Period-Luminosity relation from the infrared surface brightness technique II. The effect of metallicity, and the distance to the LMC
• SWEET-Cat updated. New homogenous spectroscopic parameters
• Revised Filter Profiles and Zero Points for Broadband Photometry
• Atmospheric parameters of 82 red giants in the Kepler field
• SP_Ace: a new code to derive stellar parameters and elemental abundances
• Homogeneous abundance analysis of dwarf, subgiant and giant FGK stars with and without giant planets
• Study of the impact of the post-MS evolution of the host star on the orbits of close-in planets. I. Sample definition and physical properties
• Photometric metallicity map of the Large Magellanic Cloud
• The Milky Way Cepheid Leavitt law based on Gaia DR2 parallaxes of companion stars and host open cluster populations
• The lithium abundances for a large sample of red giants
• Stellar atmospheric parameters for 754 spectra from the X-shooter Spectral Library
• Catalog for the ESPRESSO blind radial velocity exoplanet survey
• MARCS model atmospheres
• Evolved stars and the origin of abundance trends in planet hosts
• OCCASO III. Iron peak and $\alpha$ elements of 18 open clusters. Comparison with chemical evolution models and field stars
• Comparative Modelling of the Spectra of Cool Giants
• The Kepler Follow-Up Observation Program. II. Stellar Parameters from Medium- and High-Resolution Spectroscopy
• IGRINS Spectral Library
• The VMC survey -- XLIV: Mapping metallicity trends in the Large Magellanic Cloud using near-infrared passbands
• Abundances of disk and Bulge giants from high-resolution optical spectra III. Sc, V, Cr, Mn, Co, Ni
• Improving the surface brightness-color relation for early-type stars using optical interferometry
• Chemo-kinematics of the Milky Way from the SDSS-III MARVELS Survey
• Improved Baade-Wesselink surface-brightness relations
• Inspecting the Cepheid parallax of pulsation using Gaia EDR3 parallaxes. Projection factor and period-luminosity and period-radius relations
• HARPS-N high spectral resolution observations of Cepheids I. The Baade-Wesselink projection factor of δ Cep revisited
• Fundamental properties of red-clump stars from long-baseline H-band interferometry
• A thin shell of ionized gas explaining the IR excess of classical Cepheids
• IAU 2015 Resolution B2 on Recommended Zero Points for the Absolute and Apparent Bolometric Magnitude Scales
• The Penn State - Toruń Centre for Astronomy Planet Search stars IV. Dwarfs and the complete sample
• Determination of the spectroscopic stellar parameters for 257 field giant stars
• Progress on the calibration of surface brightness-color relations for early- and late-type stars
• Precise calibration of the dependence of surface brightness-colour relations on colour and class for late-type stars
• Extended envelopes around Galactic Cepheids. V. Multi-wavelength and time-dependent analysis of IR excess
• Mid-infrared circumstellar emission of the long-period Cepheid l Carinae resolved with VLTI/MATISSE
• The metallicity sensitivity of a surface brightness temperature scale

Cited by in corpus (4)

• 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
• 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)