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We present the analysis of KIC 8164262, a heartbeat star with ahigh-amplitude (~1 mmag), tidally resonant pulsation (a mode in resonance withthe orbit) at 229 times the orbital frequency and a plethora of tidally inducedg-mode pulsations (modes excited by the orbit). The analysis combines Keplerlight curves with follow-up spectroscopic data from the Keck telescope, KPNO(Kitt Peak National Observatory) 4-m Mayal telescope and the 2.7-m telescope atthe McDonald observatory. We apply the binary modelling software, PHOEBE, tothe Kepler light curve and radial velocity data to determine a detailed binarystar model that includes the prominent pulsation and Doppler boosting,alongside the usual attributes of a binary star model (including tidaldistortion and reflection). The results show that the system contains aslightly evolved F star with an M secondary companion in a highly eccentricorbit (e = 0.886). We use the results of the binary star model in a companionpaper (Fuller et al., 2017) where we show that the prominent pulsation can beexplained by a tidally excited oscillation mode held near resonance by aresonance locking mechanism.

KIC 8164262: a Heartbeat Star Showing Tidally Induced Pulsations with Resonant Locking