Spectroscopic Pulsational Frequency and Mode Determination of the $γ$ Doradus Star HD 189631

We present improvement and confirmation of identified frequencies and pulsation modes for the $γ$ Doradus star HD 189631. This work improves upon previous studies by incorporating a significant number of additional spectra and precise determination of frequencies. Four frequencies were identified for this star: $1.6774 \pm 0.0002$ d$^{-1}$, $1.4174 \pm 0.0002$ d$^{-1}$, $0.0714 \pm 0.0002$ d$^{-1}$, and $1.8228 \pm 0.0002$ d$^{-1}$ which were identified with the modes ($l$,$m$) = ($1,+1$), ($1,+1$), ($2,-2$), and ($1,+1$) respectively. These findings are in agreement with the most recent literature. The prevalence of ($l$,$m$) = ($1,+1$) modes in $γ$ Doradus stars is starting to become apparent and we discuss this result.

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