Abstract We investigate a low-amplitude W UMa binary KIC 11496078 based on Kepler photometric data, and the diagrams of O C maxima and minima of light curves are plotted. The anti-correlated nature of the curves indicates that KIC 11496078 is a binary. We use short cadence mode (SC) data for analyzing the light curve. By performing some analyses, the parameters of the system are determined. The results show that this system has a low mass ratio (q ~ 0.065) and a small fill-out factor (f ~ 0.026). By using the empirical relations, the masses of the two components are estimated to be M 1 = 1.207 M ⊙ and M 2 = 0.075 M ⊙ . In the second stage, we fit a quadratic function to the minima of the eclipses and use coefficients of this function to calculate the rate of orbital periodic changes P ˙ ∼ 3.76 × 10 − 9 d a y y e a r . By assuming mass conservation, we obtain a mass transfer rate of 4.2 × 10 − 8 M ⊙ y e a r from the secondary component to the primary one. We apply the auto-correlation function to the difference between the maxima to calculate the spot rotation period of the system ( 0.3002937 ± 2.81368 E − 6 ); this target shows subsynchronous rotation, which is due to the differential rotation.

中文翻译：

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低振幅食双星的首次研究 KIC11496078

摘要 我们研究了基于开普勒光度数据的低振幅 W UMa 二进制 KIC 11496078，并绘制了光变曲线的 OC 最大值和最小值图。曲线的反相关性质表明 KIC 11496078 是一个二进制。我们使用短节奏模式 (SC) 数据来分析光变曲线。通过执行一些分析，系统的参数被确定。结果表明，该系统具有低质量比 (q ~ 0.065) 和小填充因子 (f ~ 0.026)。通过使用经验关系，估计两个分量的质量为 M 1 = 1.207 M ⊙ 和 M 2 = 0.075 M ⊙ 。在第二阶段，我们将二次函数拟合到日食的最小值，并使用该函数的系数来计算轨道周期变化率 P ˙ ∼ 3.76 × 10 − 9 dayyear 。假设质量守恒，我们获得了从次级组件到初级组件的 4.2 × 10 − 8 M ⊙ 年的传质速率。我们将自相关函数应用于最大值之间的差异以计算系统的光斑旋转周期（0.3002937 ± 2.81368 E − 6 ）；该目标显示次同步旋转，这是由于差动旋转。