Grid-based estimates of stellar ages in binary systems. SCEPtER: Stellar CharactEristics Pisa Estimation gRid

Abstract

We investigate the performance of grid-based techniques in estimating the age of stars in detached eclipsing binary systems. We evaluate the precision of the estimates due to the uncertainty in the observational constraints, and the systematic bias caused by the uncertainty in convective core overshooting, element diffusion, mixing-length value, and initial helium content. We adopted the SCEPtER grid, which includes stars with mass in the range [0.8; 1.6] Msun and evolutionary stages from the ZAMS to the central hydrogen depletion. Age estimates have been obtained by a generalisation of the technique described in our previous work. We showed that the typical 1 sigma random error in age estimates - due to the uncertainty on the observational constraints - is about +- 7%, which is nearly independent of the masses of the two stars. However, such an error strongly depends on the evolutionary phase and becomes larger and asymmetric for stars near the ZAMS where it ranges from about +90% to -25%. The systematic bias due to the including mild and strong convective core overshooting is about 50% and 120% of the error due to observational uncertainties. A variation of +- 1 in the helium-to-metal enrichment ratio accounts for about +- 150% of the random error. The neglect of microscopic diffusion accounts for a bias of about 60% of the random error. We also introduced a statistical test of the expected difference in the recovered age of two coeval stars in a binary system. We find that random fluctuations within the current observational uncertainties can lead genuine coeval binary components to appear to be non-coeval with a difference in age as high as 60%.

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References in corpus (44)

• The chemical composition of the Sun
• Accurate masses and radii of normal stars: modern results and applications
• Improved spectroscopic parameters for transiting planet hosts
• The Pisa pre-main sequence tracks and isochrones. A database covering a wide range of Z, Y, mass, and age values
• Revised Primordial Helium Abundance Based on New Atomic Data
• Primordial Nucleosynthesis: Successes And Challenges
• A uniform asteroseismic analysis of 22 solar-type stars observed by Kepler
• BONNSAI: a Bayesian tool for comparing stars with stellar evolution models
• An in-depth study of grid-based asteroseismic analysis
• Determination of stellar radii from asteroseismic Data
• The solar-type eclipsing binary system LL Aquarii
• Constraints on the structure of the core of subgiants via mixed modes: the case of HD49385
• The Pisa Stellar Evolution Data Base for low-mass stars
• DY/DZ from fine structure in the Main Sequence based on Hipparcos parallaxes
• The Eclipsing Binary V1061 Cygni: Confronting Stellar Evolution Models for Active and Inactive Solar-Type Stars
• The cosmic production of Helium
• Calibrating Convective properties of Solar-like Stars in the Kepler Field of View
• Age and helium content of the open cluster NGC 6791 from multiple eclipsing binary members. I. Measurements, methods, and first results
• Solar Neutrino Constraints on the BBN Production of Li
• Age and distance for the old open cluster NGC188 from the eclipsing binary member V12
• A new standard: Age and distance for the open cluster NGC 6791 from the eclipsing binary member V20
• ΔY/ ΔZ from the analysis of local K dwarfs
• Absolute dimensions of solar-type eclipsing binaries. II. V636 Centauri: A 1.05 Msun primary with an active, cool, oversize 0.85 Msun secondary
• Effect of uncertainties in stellar model parameters on estimated masses and radii of single stars
• Detached double-lined eclipsing binaries as critical tests of stellar evolution : Age and metallicity determinations from the HR diagram
• Automatic Determination of Stellar Parameters via Asteroseismology of Stochastically Oscillating Stars: Comparison with Direct Measurements
• Cumulative physical uncertainty in modern stellar models I. The case of low-mass stars
• On the evolutionary and pulsation mass of Classical Cepheids: III. the case of the eclipsing binary Cepheid CEP0227 in the Large Magellanic Cloud
• Absolute dimensions of eclipsing binaries. XXIV. The Be star system DW Carinae, a member of the open cluster Collinder 228
• 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
• Uncertainties on the theoretical predictions for classical Cepheid pulsational quantities
• Testing pre-main sequence models: the power of a Bayesian approach
• Uncertainties in grid-based estimates of stellar mass and radius. SCEPtER: Stellar CharactEristics Pisa Estimation gRid
• Absolute dimensions of the G7+K7 eclipsing binary star IM Virginis: Discrepancies with stellar evolution models
• Absolute properties of the eclipsing binary system AQ Serpentis: A stringent test of convective core overshooting in stellar evolution models
• Absolute dimensions of eclipsing binaries. XXVIII. BK Pegasi and other F-type binaries: Prospects for calibration of convective core overshoot
• Absolute dimensions of detached eclipsing binaries. II. The metallic-lined system XY Ceti
• Orbital and physical parameters of eclipsing binaries from the ASAS catalogue -- I. A sample of systems with components' masses between 1 and 2 M${}_{\odot }$
• Cumulative physical uncertainty in modern stellar models. II. The dependence on the chemical composition
• Absolute dimensions of detached eclipsing binaries. III. The metallic-lined system YZ Cassiopeiae
• Absolute dimensions of solar-type eclipsing binaries. EF Aquarii: a G0 test for stellar evolution models
• Absolute properties of the highly eccentric eclipsing binary star LV Herculis
• The Effect of Metallicity-Dependent T-tau Relations on Calibrated Stellar Models
• Analysis of Detached Eclipsing Binaries near the Turnoff of the Open Cluster NGC 7142

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