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We present Kepler photometry and ground based spectroscopy of KIC 4544587, ashort-period eccentric eclipsing binary system with self-excited pressure andgravity modes, tidally excited modes, tidally influenced p modes, and rapidapsidal motion of 182 y per cycle. The primary and secondary components of KIC4544587 reside within the delta Scuti and gamma Dor instability region of theHurtzsprung-Russell diagram, respectively. By applying the binary modellingsoftware PHOEBE to prewhitened Kepler photometric data and radial velocity dataobtained using the William Herschel Telescope and 4-m Mayall telescope at KPNO,the fundamental parameters of this important system have been determined,including the stellar masses, 1.98+/-0.07 MSun and 1.60+/-0.06 MSun, and radii,1.76+/-0.03 RSun and 1.42+/-0.02 RSun, for the primary and secondarycomponents, respectively. Frequency analysis of the residual data revealed 31modes, 14 in the gravity mode region and 17 in the pressure mode region. Of the14 gravity modes 8 are orbital harmonics: a signature of tidal resonance. Whilethe measured amplitude of these modes may be partially attributed to residualsignal from binary model subtraction, we demonstrate through consideration ofthe folded light curve that these frequencies do in fact correspond to tidallyexcited pulsations. Furthermore, we present an echelle diagram of the pressuremode frequency region (modulo the orbital frequency) and demonstrate that thetides are also influencing the p modes. A first look at asteroseismology hintsthat the secondary component is responsible for the p modes, which is contraryto our expectation that the hotter star should pulsate in higher radialovertone, higher frequency p modes.

KIC 4544587: an Eccentric, Short Period Binary System with delta Sct Pulsations and Tidally Excited Modes