Systematics in asteroseismic modelling: application of a correlated noise model for oscillation frequencies

Author:

Li Tanda1234ORCID,Davies Guy R34,Nielsen Martin345,Cunha Margarida S6ORCID,Lyttle Alexander J34ORCID

Affiliation:

1. Institute for Frontiers in Astronomy and Astrophysics, Beijing Normal University , Beijing 102206, China

2. Department of Astronomy, Beijing Normal University , Beijing 100875, China

3. School of Physics and Astronomy, University of Birmingham , Birmingham B15 2TT, UK

4. Stellar Astrophysics Centre (SAC), Department of Physics and Astronomy, Aarhus University , Ny Munkegade 120, DK-8000 Aarhus C, Denmark

5. Center for Space Science, NYUAD Institute, New York University Abu Dhabi , PO Box 129188, Abu Dhabi, United Arab Emirates

6. Instituto de Astrofísica e Ciências do Espaço, Universidade do Porto , CAUP, Rua das Estrelas, P-4150-762 Porto, Portugal

Abstract

ABSTRACT The detailed modelling of stellar oscillations is a powerful approach to characterizing stars. However, poor treatment of systematics in theoretical models leads to misinterpretations of stars. Here, we propose a more principled statistical treatment for the systematics to be applied to fitting individual mode frequencies with a typical stellar model grid. We introduce a correlated noise model based on a Gaussian process (GP) kernel to describe the systematics given that mode frequency systematics are expected to be highly correlated. We show that tuning the GP kernel can reproduce general features of frequency variations for changing model input physics and fundamental parameters. Fits with the correlated noise model better recover stellar parameters than traditional methods that either ignore the systematics or treat them as uncorrelated noise.

Funder

European Research Council

National Natural Science Foundation of China

Chinese Academy of Sciences

Fundamental Research Funds for the Central Universities

UK Space Agency

FCT

MCTES

FEDER

Fundo Europeu de Desenvolvimento Regional

Publisher

Oxford University Press (OUP)

Subject

Space and Planetary Science,Astronomy and Astrophysics

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