The near-core rotation of HD 112429: a gamma Doradus star with TESS photometry and legacy spectroscopy

TL;DR

This study uses TESS photometry and ground spectroscopy to analyze the gamma Doradus star HD 112429, measuring its near-core rotation and buoyancy travel time, and establishing conditions for asteroseismic analysis of g-mode pulsators.

Contribution

It demonstrates that two sectors of TESS data are sufficient for asteroseismic analysis of gamma Doradus stars and identifies the pulsation modes and rotation rate of HD 112429.

Findings

Confirmed pulsation frequencies with S/N ≥ 5.6

Identified prograde dipole g modes and r modes

Measured near-core rotation rate of 1.536 d^{-1}

Abstract

The TESS space mission provides us with high-precision photometric observations of bright stars over more than 70% of the entire sky, allowing us to revisit and characterise well-known stars. We aim to conduct an asteroseismic analysis of the gamma Doradus star HD112429 using both the available ground-based spectroscopy and TESS photometry, and assess the conditions required to measure the near-core rotation rate and buoyancy travel time. We collect and reduce the available five sectors of short-cadence TESS photometry of this star, as well as 672 legacy observations from six medium- to high-resolution ground-based spectrographs. We determine the stellar pulsation frequencies from both data sets using iterative prewhitening, do asymptotic g mode modelling of the star and investigate the corresponding spectral line profile variations using the pixel-by-pixel method. We validate the pulsation frequencies from the TESS data up to $S/N \geq 5.6$, confirming recent reports in the literature that the classical criterion $S/N \geq 4$ does not suffice for space-based observations. We identify the pulsations as prograde dipole g modes and r-mode pulsations, and measure a near-core rotation rate of $1.536(3) d^{-1}$ and a buoyancy travel time $\Pi_0$ of 4190(50) s. These results are in agreement with the observed spectral line profile variations, which were qualitatively evaluated using a newly developed toy model. We establish a set of conditions that have to be fulfilled for an asymptotic asteroseismic analysis of g-mode pulsators. In the case of HD112429, two TESS sectors of space photometry suffice. Although a detailed asteroseismic modelling analysis is not viable for g-mode pulsators with only short or sparse light curves of space photometry, we find that it is possible to determine global asteroseismic quantities for a subset of these stars. (abbreviated.)