论文标题
校准来自最大似然技术的银河头孢菌周期的相关关系
Calibrating the Galactic Cepheid Period-Luminosity relation from the maximum-likelihood technique
论文作者
论文摘要
我们介绍了最大似然（ML）技术的实现，这是Baade-Becker-Wesselink（BBW）方法的最新修改之一。我们的方法是基于有效温度和侧重校正的非线性校准，考虑到金属性和表面重力。它允许人们估算关键的头孢虫参数，距离模量和星际红色，从而将光度和光谱数据（包括有效温度数据）组合在一起。该方法应用于44个银河头孢虫的样品，为此可用多相温度测量。进行附加的数据校正以减去组件在二进制/多个系统中的影响。我们还研究了冲击波的影响，其在恒星大气中的存在会扭曲观察数据，并导致所获得的参数系统误差。我们确定对输入数据的最佳限制，以消除此效果。该限制提供了准确的周期 - 拉迪乌斯和周期 - 亮度关系，这与先前研究的结果一致。我们找到了以下关系：$ log \，r =（0.68 \ pm 0.03）\ cdot log \，p +（1.14 \ pm 0.03）$，$ m_v = - （2.67 \ pm 0.16）\ cdot（log \ cdot（log \，p -1） - （4.14 \ pm 0.05）$。
We present a realization of the maximum-likelihood (ML) technique, which is one of the latest modifications of the Baade--Becker--Wesselink (BBW) method. Our approach is based on non-linear calibrations of the effective temperature and bolometric correction which take into account metallicity and surface gravity. It allows one to estimate the key Cepheid parameters, the distance modulus, and the interstellar reddening, combining photometric and spectroscopic data (including the effective temperature data). This method is applied to a sample of 44 Galactic Cepheids, for which multiphase temperature measurements are available. The additional data correction is performed to subtract the impact of the component in binary/multiple systems. We also study the effect of shock waves, whose presence in the stellar atmosphere distorts the observational data and leads to systematic errors in the obtained parameters. We determine the optimal restriction on the input data to eliminate this effect. This restriction provides accurate period-radius and period-luminosity relations which are consistent with the results in previous studies. We found the following relations: $log\,R = (0.68 \pm 0.03) \cdot log\,P + (1.14 \pm 0.03)$, $M_v = - (2.67 \pm 0.16) \cdot (log\,P - 1) - (4.14 \pm 0.05)$.
