We present an extension of the BEER model for eccentric binaries - eBEER, approximating the BEaming, Ellipsoidal and Reflection effects by harmonic series of the Keplerian elements of their orbit. As such, it can be a tool for fast processing of light curves for detecting non-eclipsing eccentric binary systems. To validate the applicability of the eccentric model and its approximations, we applied eBEER to the Kepler light curves, identified a sample of bright non-eclipsing binary candidates, and followed three of them with the Wise observatory eShel spectrograph. After confirming the three systems are indeed radial-velocity (RV) binaries, we fitted the light curves and the RV data with PHOEBE, a detailed numerical light-curve and RV model, and showed that the PHOEBE derived parameters are similar to those obtained by the eBEER approximation.

中文翻译：

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Kepler 和 CoRoT 光曲线的 BEER 分析 – V. eBEER：将算法扩展到偏心二进制

我们提出了偏心双星的 BEER 模型的扩展 - eBEER，通过其轨道的开普勒元素的谐波系列近似了 BEaming、椭球和反射效应。因此，它可以成为一种快速处理光变曲线的工具，用于检测非日食偏心双星系统。为了验证偏心模型及其近似值的适用性，我们将 eBEER 应用于开普勒光曲线，确定了一个明亮的非日食双星候选样本，并使用 Wise 天文台 eShel 光谱仪跟踪其中三个。在确认这三个系统确实是径向速度（RV）双星后，我们将光变曲线和 RV 数据与 PHOEBE（一个详细的数值光变曲线和 RV 模型）进行拟合，并表明 PHOEBE 导出的参数与通过eBEER 近似值。