  We present the analysis of KIC 8164262, a heartbeat star with a
high-amplitude (~1 mmag), tidally resonant pulsation (a mode in resonance with
the orbit) at 229 times the orbital frequency and a plethora of tidally induced
g-mode pulsations (modes excited by the orbit). The analysis combines Kepler
light 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 at
the McDonald observatory. We apply the binary modelling software, PHOEBE, to
the Kepler light curve and radial velocity data to determine a detailed binary
star model that includes the prominent pulsation and Doppler boosting,
alongside the usual attributes of a binary star model (including tidal
distortion and reflection). The results show that the system contains a
slightly evolved F star with an M secondary companion in a highly eccentric
orbit (e = 0.886). We use the results of the binary star model in a companion
paper (Fuller et al., 2017) where we show that the prominent pulsation can be
explained by a tidally excited oscillation mode held near resonance by a
resonance locking mechanism.
