Asteroseismic data analysis: foundations and techniques

Probing the interior physics of stars through asteroseismology

“…An excellent crash course on the topic was given by Appourchaux (2014), who tuned it to the modern era of space asteroseismology, while the effect of interruptions in the Kepler light curves on the frequency analysis for asteroseismology was thoroughly assessed by García et al (2014). Basu and Chaplin (2017) provided even more detailed information and focused on data analysis in the case of solarlike oscillations. Here we limit ourselves to the bare minimum and pay specific attention to the aspects of time-series analysis from the viewpoint of having two major categories of nonradial oscillation modes: those that are damped and have short lifetimes and those that are undamped and, to a good approximation, have infinite lifetimes.…”

“…Here we limit ourselves to the bare minimum required to understand applications of asteroseismology. Aerts, Christensen-Dalsgaard, and Kurtz (2010) provided detailed descriptions of the general methodology and applications covering all masses and types of nonradial oscillations, while Basu and Chaplin (2017) covered applications based on space photometry but limited to stochastically excited solarlike oscillations. Tong and covered synergies between planetary and stellar seismology.…”

“…Stellar models can subsequently be improved from inversion methods originally developed in the framework of helioseismology (Gough, 1985a). Such methods are usually applied on a star-by-star basis once the best 1D model for the appropriate θ 0 has been found; see Basu and Chaplin (2017) for a discussion of the methodology. Initial applications of this technique have led to the interior rotation profiles of six subgiants and young red giants (Deheuvels et al, 2014) and in core-helium-burning red giants (Deheuvels et al, 2015).…”

“…Low-or intermediate-mass stars with an outer convective envelope reveal p modes or mixed modes. The solarlike oscillations of these stars were reviewed by Chaplin andMiglio (2013), Hekker and, and García and Ballot ( 2019), and a book on the data analysis methodology was written by Basu and Chaplin (2017). We revisit some general results based on solarlike oscillations, focusing on what asteroseismology of such stars can deliver to other fields in astrophysics and on opportunities to improve the theory of stellar interiors.…”