# A Bayesian approach to the modelling of α Cen A

@article{Bazot2012ABA,
title={A Bayesian approach to the modelling of $\alpha$ Cen A},
author={Mich{\"a}el Bazot and S{\'e}bastien Bourguignon and J{\o}rgen Christensen-Dalsgaard},
journal={Monthly Notices of the Royal Astronomical Society},
year={2012},
volume={427},
pages={1847-1866}
}
• Published 2 September 2012
• Physics
• Monthly Notices of the Royal Astronomical Society
Determining the physical characteristics of a star is an inverse problem consisting of estimating the parameters of models for the stellar structure and evolution, and knowing certain observable quantities. We use a Bayesian approach to solve this problem for α Cen A, which allows us to incorporate prior information on the parameters to be estimated, in order to better constrain the problem. Our strategy is based on the use of a Markov chain Monte Carlo (MCMC) algorithm to estimate the… Expand
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#### References

SHOWING 1-10 OF 70 REFERENCES
Bayesian peak-bagging of solar-like oscillators using MCMC: a comprehensive guide
• Physics
• 2011
Context. Asteroseismology has entered a new era with the advent of the NASA Kepler mission. Long and continuous photometric observations of unprecedented quality are now available which haveExpand
BAYESIAN INFERENCE FROM OBSERVATIONS OF SOLAR-LIKE OSCILLATIONS
• Physics
• 2007
Stellar oscillations, which can be extracted from observed time series of the star's brightness or radial velocity, can provide a wealth of information about a star. In this paper we address theExpand
Constraining fundamental stellar parameters using seismology. Application to α Centauri AB
We apply the Levenberg-Marquardt minimization algorithm to seismic and classical observables of theαCen binary system in order to derive the fundamental parameters ofαCenA+B, and to analyze theExpand
Basic physical parameters of a selected sample of evolved stars
We present the detailed spectroscopic analysis of 72 evolved stars, which were previously studied for accurate radial velocity variations. Using one Hyades giant and another well studied star as theExpand
TOWARD A NEW KIND OF ASTEROSEISMIC GRID FITTING
• Physics
• 2012
Recent developments in instrumentation (e.g., in particular the Kepler and CoRoT satellites) provide a new opportunity to improve the models of stellar pulsations. Surface layers, rotation, andExpand
Determination of stellar ages from isochrones: Bayesian estimation versus isochrone fitting
• Physics
• 2005
We present a new method, using Bayesian estimation, to determine stellar ages and their uncertainties from observational data and theoretical isochrones. The result for an individual star is obtainedExpand
Analysis of $\alpha$ Centauri AB including seismic constraints
Detailed models of α  Cen A and B based on new seismological data for α  Cen B by Carrier & Bourban ([CITE]) have been computed using the Geneva evolution code including atomic diffusion. Taking intoExpand
Automatic Determination of Stellar Parameters Via Asteroseismology of Stochastically Oscillating Stars: Comparison with Direct Measurements
• Physics
• 2010
Space-based projects are providing a wealth of high-quality asteroseismic data, including frequencies for a large number of stars showing solar-like oscillations. These data open the prospect forExpand
Estimating the p-mode frequencies of the solar twin 18 Scorpii
Solar twins have been a focus of attention for more than a decade, because their structure is extremely close to that of the Sun. Today, thanks to high-precision spectrometers, it is possible to useExpand
α Centauri AB
• Physics
• 2000
Detailed models of α Centauri A and B based on the Hipparcos, Yale, and Soderhjelm parallaxes are compared. The consequences of the uncertainty in mass, luminosity, surface temperature, andExpand