Weighing stars from birth to death: mass determination methods across the HRD

Abstract

The mass of a star is the most fundamental parameter for its structure, evolution, and final fate. It is particularly important for any kind of stellar archaeology and characterization of exoplanets. There exists a variety of methods in astronomy to estimate or determine it. In this review we present a significant number of such methods, beginning with the most direct and model-independent approach using detached eclipsing binaries. We then move to more indirect and model-dependent methods, such as the quite commonly used isochrone or stellar track fitting. The arrival of quantitative asteroseismology has opened a completely new approach to determine stellar masses and to complement and improve the accuracy of other methods. We include methods for different evolutionary stages, from the pre-main sequence to evolved (super)giants and final remnants. For all methods uncertainties and restrictions will be discussed. We provide lists of altogether more than 200 benchmark stars with relative mass accuracies between $[0.3,2]\%$ for the covered mass range of $M\in [0.1,16]\,\msun$, $75\%$ of which are stars burning hydrogen in their core and the other $25\%$ covering all other evolved stages. We close with a recommendation how to combine various methods to arrive at a "mass-ladder" for stars.

arXiv commentInvited review article for The Astronomy and Astrophysics Review. 146 pages, 16 figures, 11 tables. Accepted version by the Journal. It includes summary figure of accuracy/precision of methods for mass ranges and summary table for individual methods

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• 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
• Probing the shape of the mixing profile and of the thermal structure at the convective core boundary through asteroseismology
• The VLT-FLAMES Tarantula Survey XXVI: Properties of the O-dwarf population in 30 Doradus
• Discovery of tidally-perturbed pulsations in the eclipsing binary U Gru: a pioneering system for tidal asteroseismology
• The Radial Velocity TATOOINE Search for Circumbinary Planets: Planet Detection Limits for a Sample of Double-lined Binary Stars - Initial Results from Keck I/Hires, Shane/CAT/Hamspec and TNG/Sarg Observations
• Asteroseismic modelling of solar-type stars: internal systematics from input physics and surface correction methods
• The Visual Orbit of iota Pegasi
• Radial distributions of sub-populations in the globular cluster M15: a more centrally concentrated primordial population
• Estimating stellar mean density through seismic inversions
• A comparison between the stellar and dynamical masses of six globular clusters
• Ages and Masses of 0.64 million Red Giant Branch stars from the LAMOST Galactic Spectroscopic Survey
• The Aarhus Red Giants Challenge I: Stellar structures in the red giant branch phase
• A Granulation "Flicker"-based Measure of Stellar Surface Gravity
• The Gaia-ESO survey: 3D NLTE abundances in the open cluster NGC 2420 suggest atomic diffusion and turbulent mixing at the origin of chemical abundance variations
• Masses, Luminosities, and Orbital Coplanarities of the mu Orionis Quadruple Star System from PHASES Differential Astrometry
• Testing asteroseismology with Gaia DR2: Hierarchical models of the Red Clump
• Precision radial velocities of double-lined spectroscopic binaries with an iodine absorption cell
• Uncertainties in grid-based estimates of stellar mass and radius. SCEPtER: Stellar CharactEristics Pisa Estimation gRid
• Denoising spectroscopic data by means of the improved Least-Squares Deconvolution method
• Disentangling Time Series Spectra with Gaussian Processes: Applications to Radial Velocity Analysis
• The single-sided pulsator CO~Camelopardalis
• Close stellar conjunctions of alpha Centauri A and B until 2050 - An mK = 7.8 star may enter the Einstein ring of alpha Cen A in 2028
• The long-period binary central stars of the planetary nebulae NGC 1514 and LoTr 5
• The EREBOS project -- Investigating the effect of substellar and low-mass stellar companions on late stellar evolution
• Hertzsprung-Russell diagram and mass distribution of barium stars
• Mass and Age of Red Giant Branch Stars Observed with LAMOST and \emph{Kepler}
• MADE: A spectroscopic Mass, Age, and Distance Estimator for red giant stars with Bayesian machine learning
• The cluster ages experiment (CASE). V. Analysis of three eclipsing binaries in the globular cluster M4
• A Classical Cepheid in a LMC eclipsing binary: evidence of shortcomings in current stellar evolutionary models?
• The age of 47Tuc from self-consistent isochrone fits to colour-magnitude diagrams and the eclipsing member V69
• Massive pulsating stars observed by BRITE-Constellation. I. The triple system Beta Centauri (Agena)
• Effects of rotation on the evolution and asteroseismic properties of red giants
• CoRoT 223992193: A new, low-mass, pre-main sequence eclipsing binary with evidence of a circumbinary disk
• New Precision Orbits of Bright Double-Lined Spectroscopic Binaries. I: RR Lyncis, 12 Bootis, and HR 6169
• Comparison of Gaia DR2 Parallaxes of Stars with VLBI Astrometry
• Discovery of $\beta$ Cep pulsations in the eclipsing binary V453 Cygni
• KIC 9246715: The Double Red Giant Eclipsing Binary With Odd Oscillations
• The Uncertain Masses of Progenitors of Core Collapse Supernovae and Direct Collapse Black Holes
• The Tarantula Massive Binary Monitoring. IV. Double-lined photometric binaries
• Luminosity Discrepancy in the Equal-Mass, Pre--Main Sequence Eclipsing Binary Par 1802: Non-Coevality or Tidal Heating?
• A spectroscopic investigation of the O-type star population in four Cygnus OB associations. II. Determination of the fundamental parameters
• A New Detached M Dwarf Eclipsing Binary
• Atomic diffusion in metal-poor stars: II. Predictions for the Spite plateau
• Benchmark ages for the Gaia benchmark stars
• Kepler-77b: a very low albedo, Saturn-mass transiting planet around a metal-rich solar-like star
• Mass models of NGC 6624 without an intermediate-mass black hole
• Toward a New Kind of Asteroseismic Grid Fitting
• The K2-ESPRINT Project V: a short-period giant planet orbiting a subgiant star
• The Palomar Transient Factory Orion Project: Eclipsing Binaries and Young Stellar Objects
• The Visual Orbit of the 1.1-day Spectroscopic Binary σ^2 Coronae Borealis from Interferometry at the CHARA Array
• The CARMENES search for exoplanets around M dwarfs: Nine new double-line spectroscopic binary stars
• Biases in the inferred mass-to-light ratio of globular clusters: no need for variations in the stellar mass function
• Absolute dimensions of the G7+K7 eclipsing binary star IM Virginis: Discrepancies with stellar evolution models
• Nitrogen depletion in field red giants: mixing during the He flash?
• On the black hole content and initial mass function of 47 Tuc
• Nonlinear seismic scaling relations
• Chemical evolution of high-mass stars in close binaries. I. The eclipsing binary V453 Cygni
• Two-colour photometry of the binary planetary nebula nuclei UU Sagitte and V477 Lyrae: oversized secondaries in post-common-envelope binaries
• Spectroscopic and seismic analysis of red giants in eclipsing binaries discovered by Kepler
• Model-independent measurement of internal stellar structure in 16 Cygni A and B
• Astrophysical Implications of a New Dynamical Mass for the Nearby White Dwarf 40 Eridani B
• The gravitational mass of Proxima Centauri measured with SPHERE from a microlensing event
• HD 89345: a bright oscillating star hosting a transiting warm Saturn-sized planet observed by K2
• N-body models of globular clusters: metallicity, half-light radii and mass-to-light ratios
• Mean density inversions for red giants and red clump stars
• The gravitational redshift of Sirius B
• Binary Central Stars of Planetary Nebulae Discovered Through Photometric Variability V: The Central Stars of HaTr 7 and ESO 330-9
• Discovery of Par 1802 as a Low-Mass, Pre-Main-Sequence Eclipsing Binary in the Orion Star-Forming Region
• The Effect of Star Spots on Accurate Radius Determination of the Low Mass Double-lined Eclipsing Binary GU Boo
• Precise radial velocities of giant stars. X. Bayesian stellar parameters and evolutionary stages for 372 giant stars from the Lick planet search
• The Araucaria Project. Accurate determination of the dynamical mass of the classical Cepheid in the eclipsing system OGLE-LMC-CEP-1812
• An eclipsing post common-envelope system consisting of a pulsating hot subdwarf B star and a brown dwarf companion
• Seismic probing of the first dredge-up event through the eccentric red-giant & red-giant spectroscopic binary KIC9163796
• Pure-helium 3D model atmospheres of white dwarfs
• The white dwarf mass-radius relation and its dependence on the hydrogen envelope
• Kepler Studies of Low-Mass Eclipsing Binaries I. Parameters of the Long-Period Binary KIC 6131659
• The Araucaria Project: High-precision orbital parallax and masses of the eclipsing binary TZ~Fornacis
• Orbital and physical parameters of eclipsing binaries from the ASAS catalogue - VIII. The totally-eclipsing double-giant system HD 187669
• Absolute dimensions of eclipsing binaries. XXVIII. BK Pegasi and other F-type binaries: Prospects for calibration of convective core overshoot
• The late type eclipsing binaries in the Large Magellanic Cloud: catalogue of fundamental physical parameters
• The masses of retired A stars with asteroseismology: Kepler and K2 observations of exoplanet hosts
• Reprocessing the Hipparcos Intermediate Astrometric Data of spectroscopic binaries: II. Systems with a giant component
• Asteroseismic versus Gaia distances: a first comparison
• The Hubble Space Telescope UV Legacy Survey of Galactic Globular Clusters - XIV. Multiple stellar populations within M 15 and their radial distribution
• Recipes for bolometric corrections and Gaia luminosities of B-type stars: Application to an asteroseismic sample
• The Aarhus red giants challenge II. Stellar oscillations in the red giant branch phase
• Optical Gravitational Lensing Experiment. OGLE-2 -- the Second Phase of the OGLE Project
• Stellar acoustic radii, mean densities and ages from seismic inversion techniques
• On the origin of the ultramassive white dwarf GD50
• FliPer: A global measure of power density to estimate surface gravities of main-sequence Solar-like stars and red giants
• Absolute dimensions of detached eclipsing binaries. II. The metallic-lined system XY Ceti
• SPInS, a pipeline for massive stellar parameter inference: A public Python tool to age-date, weigh, size up stars, and more
• The Curious Case of KOI 4: Confirming Kepler's First Exoplanet
• Empirical relations for the accurate estimation of stellar masses and radii
• APOGEE [C/N] Abundances Across the Galaxy: Migration and Infall from Red Giant Ages
• The Factory and the Beehive III: PTFEB132.707+19.810, a Low-Mass Eclipsing Binary in Praesepe Observed by PTF and K2
• Asteroseismic masses of retired planet-hosting A-stars using SONG
• Asteroseismic modeling of gravity modes in slowly rotating A/F stars with radiative levitation
• Asteroseismic radii of dwarfs: New accuracy constraints from Gaia DR2 parallaxes
• A beta Cephei pulsator and a changing orbital inclination in the high-mass eclipsing binary system VV Orionis
• The G+M eclipsing binary V530 Orionis: A stringent test of magnetic stellar evolution models for low-mass stars
• Convective boundary mixing in low- and intermediate-mass stars I. Core properties from pressure-mode asteroseismology
• HIDES spectroscopy of bright detached eclipsing binaries from the $Kepler$ field - III. Spectral analysis, updated parameters, and new systems
• S stars and s-process in the Gaia era I. Stellar parameters and chemical abundances in a sub-sample of S stars with new MARCS model atmospheres
• Chromospheric backradiation in ultraviolet continua and Halpha
• On The Statistical Properties of the Lower Main Sequence
• BONNSAI: correlated stellar observables in Bayesian methods
• Discovery and Precise Characterization by the MEarth Project of LP 661-13, an Eclipsing Binary Consisting of Two Fully Convective Low-mass Stars
• Isochrone-cloud fitting of the extended Main-Sequence Turn-Off of young clusters
• Stellar modelling of Spica, a high-mass spectroscopic binary with a beta Cep variable primary component
• A Novel Approach to Constrain Rotational Mixing & Convective-Core Overshoot in Stars Using the Initial-Final Mass Relation
• The Araucaria Project: High-precision orbital parallax and masses of eclipsing binaries from infrared interferometry
• The Architecture of the GW Ori Young Triple Star System and Its Disk: Dynamical Masses, Mutual Inclinations, and Recurrent Eclipses
• The spectroscopic orbits and the geometrical configuration of the symbiotic binary AR Pavonis
• Stellar ages and masses in the solar neighbourhood: Bayesian analysis using spectroscopy and Gaia DR1 parallaxes
• Weighing in on the masses of retired A stars with asteroseismology: K2 observations of the exoplanet-host star HD 212771
• Models for Sixty Double-Lined Binaries containing Giants
• Lithium in the Hyades L5 brown dwarf 2MASSJ04183483+2131275
• New $\beta$ Cep pulsators discovered with K2 space photometry
• Asteroseismic determination of fundamental parameters of sun-like stars using multi-layered neural networks
• Testing Stellar Models With An Improved Physical Orbit for 12 Bootis
• Deep Learning Applied to the Asteroseismic Modeling of Stars with Coherent Oscillation Modes
• Mass effect on the lithium abundance evolution of open clusters: Hyades, NGC 752, and M67
• An eclipsing double-line spectroscopic binary at the stellar/substellar boundary in the Upper Scorpius OB association
• Evolution of lithium abundance in the Sun and solar twins
• Kepler-432 b: a massive warm Jupiter in a 52-day eccentric orbit transiting a giant star
• Mass determination of the 1:3:5 near-resonant planets transiting GJ 9827 (K2-135)
• Absolute dimensions of detached eclipsing binaries. III. The metallic-lined system YZ Cassiopeiae
• High-precision elements of double-lined spectroscopic binaries from combined interferometry and spectroscopy. Application to the beta Cephei star beta Centauri
• Absolute parameters for AI Phoenicis using WASP photometry
• The subgiant HR 7322 as an asteroseismic benchmark star
• Physical properties and CNO abundances for high-mass stars in four main-sequence detached eclipsing binaries: V478 Cyg, AH Cep, V453 Cyg and V578 Mon
• The extent of mixing in stellar interiors: the open clusters Collinder 261 and Melotte 66
• Orbital and physical parameters of eclipsing binaries from the ASAS catalogue -- II. Two spotted M < 1 M${}_{\odot }$ systems at different evolutionary stages
• Masses of the components of SB2 binaries observed with Gaia. IV. Accurate SB2 orbits for 14 binaries, and masses of 3 binaries
• A Strict Test of Stellar Evolution Models: The Absolute Dimensions of Massive Benchmark Eclipsing Binary V578 Mon
• Absolute dimensions of solar-type eclipsing binaries. EF Aquarii: a G0 test for stellar evolution models
• Properties of central stars of planetary nebulae with distances in Gaia DR2
• 12C/13C isotopic ratios in red-giant stars of the open cluster NGC 6791
• Testing tidal theory for evolved stars by using red-giant binaries observed by Kepler
• A modern study of HD166734: a massive supergiant system
• Modelling of Sigma Scorpii, a high-mass binary with a Beta Cep variable primary component
• gamma Doradus pulsation in two pre-main sequence stars discovered by CoRoT
• Observational Constraints on the Common Envelope Phase
• Deep secrets of intermediate-mass giants and supergiants: Models with rotation seem to overestimate mixing effects on the surface abundances of C, N, and Na
• Fine structure of the age-chromospheric activity relation in solar-type stars I: The Ca II infrared triplet: Absolute flux calibration
• An in-depth reanalysis of the alleged type Ia supernova progenitor Henize 2-428
• Mass-luminosity relation for FGK main sequence stars: metallicity and age contributions
• The Gaia-ESO survey: Hydrogen lines in red giants directly trace stellar mass
• Is there a mass discrepancy in the Cepheid binary OGLE-LMC-CEP0227?
• A solar twin in the eclipsing binary LL Aqr
• Detection of Solar-Like Oscillations, Observational Constraints, and Stellar Models for $\theta$ Cyg, the Brightest Star Observed by the {\it Kepler} Mission
• Modelling the solar twin 18 Sco
• Impact of Convective Boundary Mixing on the TP-AGB
• Masses of the Hyades white dwarfs: A gravitational redshift measurement
• 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
• Mending the structural surface effect of 1D stellar structure models with non-solar metallicities based on interpolated 3D envelopes
• Looking at the bright side - The story of AA Dor as revealed by its cool companion
• Dynamical masses for the triple system HD 28363 in the Hyades cluster
• Estimating Stellar Parameters from Spectra using a Hierarchical Bayesian Approach
• A comprehensive study of young B stars in NGC 2264: I. Space photometry and asteroseismology
• Absolute dimensions of eclipsing binaries. XXIX. The Am-type systems SW Canis Majoris and HW Canis Majoris
• A high-mass Planetary Nebula in a Galactic Open Cluster
• HAT-TR-318-007: a double-lined M-dwarf binary with total secondary eclipses discovered by HATNet and observed by K2
• Masses of the components of SB2 binaries observed with Gaia. II. Masses derived from PIONIER interferometric observations for Gaia validation
• Visual Orbits of Spectroscopic Binaries with the CHARA Array. I. HD 224355
• Absolute dimensions of the metallic-line eclipsing binary V501 Monocerotis
• Grid-based seismic modelling at high and low signal-to-noise ratios HD 181420 and HD 175272
• Asteroseismic masses of four evolved planet-hosting stars using SONG and TESS: resolving the retired A-star mass controversy
• Li abundances for solar twins in the open cluster M67
• Masses of the components of SB2 binaries observed with Gaia. I. Selection of the sample and mass ratios of 20 new SB2s discovered with Sophie
• The First Data from the MACHO Experiment
• Masses of the components of SB2 binaries observed with Gaia. III. Accurate SB2 orbits for 10 binaries and masses of HIP 87895
• The PHASES Differential Astrometry Data Archive IV: The Triple Star Systems 63 Gem A and HR 2896
• Hubble Space Telescope photometry of multiple stellar populations in the inner parts of NGC 2419
• Precision Orbit of $\delta$ Delphini and Prospects for Astrometric Detection of Exoplanets
• Physical Properties of the Low-Mass Eclipsing Binary NSVS 02502726
• Visual Orbits of Spectroscopic Binaries with the CHARA Array. II. The eclipsing binary HD 185912
• Uncertainties and biases in modelling 16 Cyg A and B
• The Central Star of Planetary Nebula PHR 1315-6555 and its host Galactic Open Cluster AL 1
• Visual Orbits of Spectroscopic Binaries with the CHARA Array. III. HD 8374 and HD 24546
• The nearby eclipsing stellar system delta Velorum III. Self-consistent fundamental parameters and distance
• FliPer${}_{Class}$: In search of solar-like pulsators among TESS targets
• Two's a crowd? Characterising the effect of photometric contamination on the extraction of the global asteroseismic parameter ${\nu }_{\text{max}}$ in red-giant binaries
• Hubble Space Telescope Astrometry of the Metal-Poor Visual Binary $\mu$ Cassiopeiae: Dynamical Masses, Helium Content, and Age
• WASP 0639-32: a new F-type subgiant/K-type main-sequence detached eclipsing binary from the WASP project
• On the nature of the core of $\alpha$ Centauri A: the impact of the metallicity mixture
• The VLT-FLAMES Tarantula Survey
• The mass discrepancy problem in O stars of solar metallicity. Does it still exist?
• The Benchmark Eclipsing Binary V530 Ori: A Critical Test of Magnetic Evolution Models for Low-Mass Stars

Cited by in corpus (1)

• Asteroseismology of the heartbeat star KIC 5006817