Hierarchically modelling Kepler dwarfs and subgiants to improve inference of stellar properties with asteroseismology
Abstract
With recent advances in modelling stars using high-precision asteroseismology, the systematic effects associated with our assumptions of stellar helium abundance (Y) and the mixing-length theory parameter (αMLT) are becoming more important. We apply a new method to improve the inference of stellar parameters for a sample of Kepler dwarfs and subgiants across a narrow mass range (0.8<M<1.2M⊙). In this method, we include a statistical treatment of Y and the αMLT. We develop a hierarchical Bayesian model to encode information about the distribution of Y and αMLT in the population, fitting a linear helium enrichment law including an intrinsic spread around this relation and normal distribution in αMLT. We test various levels of pooling parameters, with and without solar data as a calibrator. When including the Sun as a star, we find the gradient for the enrichment law, ΔY/ΔZ=1.05+0.28−0.25 and the mean αMLT in the population, μα=1.90+0.10−0.09. While accounting for the uncertainty in Y and αMLT, we are still able to report statistical uncertainties of 2.5 per cent in mass, 1.2 per cent in radius, and 12 per cent in age. Our method can also be applied to larger samples that will lead to improved constraints on both the population level inference and the star-by-star fundamental parameters.
Citation
Lyttle , A J , Davies , G R , Li , T , Carboneau , L M , Leung , H-H , Westwood , H , Chaplin , W J , Hall , O J , Huber , D , Nielsen , M B , Basu , S & García , R A 2021 , ' Hierarchically modelling Kepler dwarfs and subgiants to improve inference of stellar properties with asteroseismology ' , Monthly Notices of the Royal Astronomical Society , vol. 505 , no. 2 , pp. 2427-2446 . https://doi.org/10.1093/mnras/stab1368
Publication
Monthly Notices of the Royal Astronomical Society
Status
Peer reviewed
ISSN
0035-8711Type
Journal article
Rights
Copyright 2021 The Author(s). Published by Oxford University Press on behalf of Royal Astronomical Society. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted reuse, distribution, and reproduction in any medium, provided the original work is properly cited.
Description
funding: This work is a part of a project that has received funding from the European Research Council (ERC) under the European Union’s Horizon 2020 research and innovation programme (CartographY; grant agreement ID 804752). AJL, GRD, and WJC acknowledge the support of the Science and Technology Facilities Council. DH acknowledges support from the Alfred P. Sloan Foundation, the National Aeronautics and Space Administration (80NSSC19K0597), and the National Science Foundation (AST-1717000). MBN acknowledges support from the UK Space Agency. RAG acknowledges the funding from the PLATO CNES grant.Collections
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