Abstract The first light curve solutions of the binary systems V1370 Tau and QQ Boo are presented. The periodic changes are calculated, and a new ephemeris presented for each of these two binary systems. O-C analysis is performed using the MCMC method in OCFit code. The changing rate of period was measured as dP/dt= 0.2423 days/year for V1370 Tau and dP/dt= -0.1363 days/year for QQ Boo. The light curve solutions suggest that V1370 Tau is a weak-contact eclipsing binary system with a photometric mass ratio q = 0.829, and that the corresponding fillout factor is 11.06%. Furthermore, it is suggested that the QQ Boo binary system is also a weak-contact W UMa eclipsing binary with a photometric mass ratio q = 0.831, and that its fillout factor equals 10.26%. The light curve solutions require cold spots. Utilizing the Wilson-Devinney code the photometric and geometric parameters of the systems are determined. The distance of both V1370 Tau and QQ Boo are calculated according to the estimated absolute parameters as 159.95 ± 23 pc and 309.03 ± 25 pc, respectively, which are in a good agreement with the distance values derived from the Gaia DR2 parallax within one standard deviation. Moreover, the positions of their components on the H-R diagram are represented.

中文翻译：

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两个接触二元系统的第一个光曲线解和周期研究：V1370 Tau 和 QQ Boo

摘要 给出了二元系统V1370 Tau 和QQ Boo 的第一个光变曲线解。计算周期性变化，并为这两个二进制系统中的每一个提供一个新的星历。OC 分析是在 OCFit 代码中使用 MCMC 方法进行的。V1370 Tau 的周期变化率测量为 dP/dt= 0.2423 天/年，QQ Boo 的 dP/dt= -0.1363 天/年。光变曲线解表明 V1370 Tau 是弱接触食双星系统，光度质量比 q = 0.829，相应的填充因子为 11.06%。此外，建议 QQ Boo 双星系统也是一个弱接触 W UMa 食双星，光度质量比 q = 0.831，其填充因子等于 10.26%。光变曲线解决方案需要冷点。利用 Wilson-Devinney 代码确定系统的光度和几何参数。V1370 Tau 和 QQ Boo 的距离根据估计的绝对参数分别为 159.95 ± 23 pc 和 309.03 ± 25 pc，与 Gaia DR2 视差得出的距离值在一个标准偏差内非常吻合. 此外，还表示了它们的组件在 HR 图上的位置。