Empirical relations for the accurate estimation of stellar masses and radii

Abstract

In this work, we have taken advantage of the most recent accurate stellar characterizations carried out using asteroseismology, eclipsing binaries and interferometry to evaluate a comprehensive set of empirical relations for the estimation of stellar masses and radii. We have gathered a total of 934 stars -- of which around two-thirds are on the Main Sequence -- that are characterized with different levels of precision, most of them having estimates of M, R, Teff, L, g, density, and [Fe/H]. We have deliberately used a heterogeneous sample (in terms of characterizing techniques and spectroscopic types) to reduce the influence of possible biases coming from the observation, reduction, and analysis methods used to obtain the stellar parameters. We have studied a total of 576 linear combinations of Teff, L, g, density, and [Fe/H] (and their logarithms) to be used as independent variables to estimate M or R. We have used an error-in-variables linear regression algorithm to extract the relations and to ensure the fair treatment of the uncertainties. We present a total of 38 new or revised relations that have an adj-R2 regression statistic higher than 0.85, and a relative accuracy and precision better than 10% for almost all the cases. The relations cover almost all the possible combinations of observables, ensuring that, whatever list of observables is available, there is at least one relation for estimating the stellar mass and radius.

arXiv comment49 Pages, 17 figures, 11 tables, accepted for publication in ApJS

References in corpus (39)

• The Gaia mission
• PARSEC: stellar tracks and isochrones with the PAdova and TRieste Stellar Evolution Code
• The Apache Point Observatory Galactic Evolution Experiment (APOGEE)
• Accurate masses and radii of normal stars: modern results and applications
• An absolutely calibrated effective temperature scale from the InfraRed Flux Method
• VOSA: Virtual Observatory SED Analyzer. An application to the Collinder 69 open cluster
• The Transiting Circumbinary Planets Kepler-34 and Kepler-35
• Kepler Asteroseismology Program: Introduction and First Results
• Ages and fundamental properties of Kepler exoplanet host stars from asteroseismology
• Asteroseismic fundamental properties of solar-type stars observed by the NASA Kepler Mission
• Fundamental Properties of Kepler Planet-Candidate Host Stars using Asteroseismology
• The California-Kepler Survey. I. High Resolution Spectroscopy of 1305 Stars Hosting Kepler Transiting Planets
• The K2 Ecliptic Plane Input Catalog (EPIC) and Stellar Classifications of 138,600 Targets in Campaigns 1-8
• Standing on the shoulders of Dwarfs: the Kepler asteroseismic LEGACY sample II - radii, masses, and ages
• Revised Stellar Properties of Kepler Targets for the Q1-17 (DR25) Transit Detection Run
• A Revised Effective Temperature Scale for the Kepler Input Catalog
• Standing on the shoulders of Dwarfs: the $Kepler$ asteroseismic LEGACY sample I - oscillation mode parameters
• Stellar Diameters and Temperatures III. Main Sequence A, F, G, & K Stars: Additional high-precision measurements and empirical relations
• Accurate parameters of 93 solar-type Kepler targets
• The Solar Neighborhood XXXVII: The Mass-Luminosity Relation for Main Sequence M Dwarfs
• Eclipsing Binary Stars as Benchmarks for Trigonometric Parallaxes in the Gaia Era
• Asteroseismology for "à la carte" stellar age-dating and weighing: Age and mass of the CoRoT exoplanet host HD 52265
• Oscillation mode frequencies of 61 main sequence and subgiant stars observed by Kepler
• Main-Sequence Effective Temperatures from a Revised Mass-Luminosity Relation Based on Accurate Properties
• Oscillation frequencies for 35 \Kepler solar-type planet-hosting stars using Bayesian techniques and machine learning
• Bayesian analysis of ages, masses, and distances to cool stars with non-LTE spectroscopic parameters
• The First APOKASC Catalog of Kepler Dwarf and Subgiant Stars
• The Metallicities of Stars With and Without Transiting Planets
• Determining stellar parameters of asteroseismic targets: going beyond the use of scaling relations
• Stroemgren survey for Asteroseismology and Galactic Archaeology: let the SAGA begin
• Fundamental properties of the Population II fiducial stars HD 122563 and Gmb 1830 from CHARA interferometric observations
• The Catalogue of Stellar Parameters from the Detached Double-Lined Eclipsing Binaries in the Milky Way
• Radii, masses, and ages of 18 bright stars using interferometry and new estimations of exoplanetary parameters
• Benchmark stars for Gaia: fundamental properties of the Population II star HD140283 from interferometric, spectroscopic and photometric data
• Absolute dimensions of eclipsing binaries. XXVI. Setting a new standard: Masses, radii, and abundances for the F-type systems AD Bootis, VZ Hydrae, and WZ Ophiuchi
• Accurate effective temperatures of the metal-poor benchmark stars HD 140283, HD 122563 and HD 103095 from CHARA interferometry
• Optical Interferometry of early-type stars with PAVO@CHARA. I. Fundamental stellar properties
• Asteroseismic properties of solar-type stars observed with the NASA K2 mission: results from Campaigns 1-3 and prospects for future observations
• Mass-luminosity relation for FGK main sequence stars: metallicity and age contributions

Cited by in corpus (23)

• Analysis of Early Science observations with the CHaracterising ExOPlanets Satellite (CHEOPS) using pycheops
• The all-sky PLATO input catalogue
• Evaporation of dark matter from celestial bodies
• Magnetic Field of the Eclipsing M Dwarf Binary YY Gem
• The Gaia EDR3 view of Johnson-Kron-Cousins standard stars: the curated Landolt and Stetson collections
• The Gaia-ESO Survey: detection and characterization of single line spectroscopic binaries
• Masses of the components of SB2 binaries observed with Gaia. V. Accurate SB2 orbits for 10 binaries and masses of the components of 5 binaries
• Visual Orbits of Spectroscopic Binaries with the CHARA Array. I. HD 224355
• K2-263b: A 50-day period sub-Neptune with a mass measurement using HARPS-N
• Scattered light may reveal the existence of ringed exoplanets
• Standard stellar luminosities; what are typical and limiting accuracies in the era after Gaia?
• Visual Orbits of Spectroscopic Binaries with the CHARA Array. II. The eclipsing binary HD 185912
• The EBLM Project XII. An eccentric, long-period eclipsing binary with a companion near the hydrogen-burning limit
• Revisiting the mass- and radius-luminosity relations for FGK main-sequence stars
• Surface brightness-colour relations of dwarf stars from detached eclipsing binaries -- I. Calibrating sample
• TESS search for substellar companions through pulsation timing of $\delta$ Scuti stars. I. Discovery of companions around Chang 134 and V393 Car
• A spectroscopic quadruple as a possible progenitor of sub-Chandrasekhar Type Ia supernovae
• Weighing stars from birth to death: mass determination methods across the HRD
• SpecPhot: A Comparison of Spectroscopic and Photometric Exoplanet Follow-Up Methods
• True spin-orbit obliquities distribution: data-driven confirmation of no clustering of misaligned planets
• MAISTEP -- a new grid-based machine learning tool for inferring stellar parameters I. Ages of giant-planet host stars
• A Catalog of Homogeneously Derived Stellar Parameters for Spectroscopic Survey Stars
• Stellar mass and radius estimation using Artificial Intelligence