论文标题
在椭圆形变量中寻找休眠的黑洞I.重新访问光度调制的预期幅度
Search for Dormant Black Holes in Ellipsoidal Variables I. Revisiting the Expected Amplitudes of the Photometric Modulation
论文作者
论文摘要
椭圆形变量呈现出由恒星失真引起的光 - 曲线调制，这是由潮汐相互作用与同伴引起的。 Morris和Naftilan 1993（MN93）给出了椭圆形调制的分析近似模型。基于使用phoebe代码的数值模拟，我们在此提出的模型的前三个谐波更新了幅度。预期幅度是作为质量比和二进制系统的倾斜度以及主要的插图因子的函数 - - 恒星半径与其Roche Lobe之间的比率。相对于MN93模型，矫正最多可用于接近统一的填充因子。更新的模型可以在搜索大量光度光曲线数据集中的短周期二进制文件中发挥作用。如一个OGLE光曲线示例所示，只能使用三个谐波的幅度和恒星温度的估计来获得最小质量比。足够高的幅度可以帮助鉴定质量比大于统一的二进制文件，其中一些可能具有紧凑的伴侣。
Ellipsoidal variables present light-curve modulations caused by stellar distortion, induced by tidal interaction with their companions. An analytical approximated model of the ellipsoidal modulation is given as a discrete Fourier series by Morris and Naftilan 1993 (MN93). Based on numerical simulations using the PHOEBE code we present here updated amplitudes of the first three harmonics of the model. The expected amplitudes are given as a function of the mass ratio and inclination of the binary system and the fillout factor of the primary---the ratio between the stellar radius and that of its Roche lobe. The corrections can get up to 30% relative to the MN93 model for fillout factors close to unity. The updated model can be instrumental in searching for short-period binaries with compact-object secondaries in large data sets of photometric light curves. As shown in one OGLE light-curve example, the minimum mass ratio can be obtained by using only the amplitudes of the three harmonics and an estimation of the stellar temperature. High enough amplitudes can help to identify binaries with mass ratios larger than unity, some of which might have compact companions.
