KIC 6206751: the first R CMa-type eclipsing binary with $\gamma$ Doradus pulsations

Abstract

We present the absolute properties of the double-lined eclipsing binary KIC 6206751 exhibiting multiperiodic pulsations. The $Kepler$ light curve of this system was simultaneously solved with the radial-velocity data given by Matson et al. (2017). The results indicate that the binary star is a short-period semi-detached system with fundamental parameters of $M_1$ = 1.66$\pm$0.04 M${}_{\odot }$, $M_2$ = 0.215$\pm$0.006 M${}_{\odot }$, $R_1$ = 1.53$\pm$0.02 R${}_{\odot }$, $R_2$ = 1.33$\pm$0.02 R${}_{\odot }$, $L_1$ = 5.0$\pm$0.6 L${}_{\odot }$, and $L_2$ = 0.96$\pm$ 0.09 L${}_{\odot }$. We applied multiple frequency analyses to the eclipse-subtracted light residuals and detected the 42 frequencies below 2.5 d${}^{-1}$. Among these, three independent frequencies of $f_2$, $f_3$, and $f_4$ can be identified as high-order (38 $\le n\le$ 40) low-degree ($\ell$ = 2) gravity-mode oscillations, whereas the other frequencies may be orbital harmonics and combination terms. The ratios between the orbital frequency and the pulsation frequencies are $f_{\mathrm{orb}}$:$f_{2-4}$ $\simeq$ 2:3, which implies that the $\gamma$ Dor pulsations of the detached primary star may be excited by the tidal interaction of the secondary companion. The short orbital period, and the low mass ratio and $M_2$ demonstrate that KIC 6206751 is an R CMa-type star, which is most likely evolving into an EL CVn star. Of seven well-studied R CMa-type stars, our program target is the only eclipsing binary with a $\gamma$ Dor pulsating component.

13 pages, including 6 figures and 3 tables, accepted for publication in MNRAS

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