The Nature of the Eccentric Double-lined Eclipsing Binary System KIC 2306740 with Kepler Space Photometry

We present a detailed study of KIC 2306740, an eccentric double-lined eclipsing binary system. Kepler satellite data were combined with spectroscopic obtained the 4.2 m William Herschel Telescope (WHT). This allowed us to determine precise orbital and physical parameters this relatively long period (P=10.3 d) slightly eccentric, ($e=0.3$) The have been determined as $M_1 = 1.194\pm0.008$ M$_{\odot}$, $M_2 1.078\pm0.007$ $R_1 1.682\pm0.004$ R$_{\odot}$, $R_2 1.226\pm0.005$ $L_1 2.8\pm0.4$ L$_{\odot}$, $L_2 1.8\pm0.2$ L$_{\odot}$ seperation $a 26.20\pm0.04$ R$_{\odot}$ through simultaneous solutions light curves WHT radial velocity data. Binarity effects extracted from curve in order intrinsic variations residuals. Five significant more than 100~combination frequencies detected. modeled system assuming non-conservative evolution models Cambridge STARS (TWIN) code we show evolutionary tracks components $\log L - \log T$ plane, R M$ plane P \rm age$ for both spin periods together eccentricity $e$ R_1$. model processes led evolve observed roughly $5.1 $ Gyr.