Absolute Properties of the Eclipsing gamma Dor Star V404 Lyrae

We present the first high-resolution spectra for the eclipsing binary V404 Lyr showing gamma Dor pulsations, which we use to study its absolute properties. By fitting models to the disentangling spectrum of the primary star, we found that it has an effective temperature of T-eff,T- 1 = 7330 +/- 150 K and a rotational velocity of v(1)sin i = 148 +/- 18 km s(-1). The simultaneous analysis of our double-lined radial velocities and the pulsationsubtracted Kepler data gives us accurate stellar and system parameters of V404 Lyr. The masses, radii, and luminosities are M-1 = 2.17 +/- 0.06M(circle dot), R = 1.91 +/- 0.02 R-circle dot, and L-1 = 9.4 +/- 0.8 L-circle dot for the primary, and M-2 = 1.42 +/- 0.04 M-circle dot, R-2 = 1.79 +/- 0.02 R-circle dot, and L-2 = 2.9 +/- 0.2 L circle dot for the secondary. The tertiary component orbiting the eclipsing pair has a mass of M-3b = 0.71 +/- 0.15 M-circle dot in an orbit of P-3b = 642 +/- 3 days, e(3b) = 0.21 +/- 0.04, and a(3b) = 509 +/- 2 R-circle dot. The third light of l(3) = 4.1% +/- 0.2% could be partly attributable to the K-type circumbinary object. By applying a multiple frequency analysis to the eclipse-subtracted light residuals, we detected 45 frequencies with signal-to-noise amplitude ratios larger than 4.0. Identified as independent pulsation modes, seven frequencies (f(1)-f(6), f(9)), their new pulsation constants, and the location in the Hertzsprung-Russell diagram indicate that the pulsating primary is a gamma Dor-type variable star.