由多色光变曲线确定基模RR天琴座星物理参数的新方法
A new method for determining physical parameters of fundamental mode RR Lyrae stars from multicolour light curves
摘要：
我们提出了一种新的方法来确定的物理参数RRab变量完全从多色光变曲线。我们的方法是一个逆光度Baade-Wesselink分析，使用非线性最小二乘算法，搜索有效温度（T_eff）和脉动速度（V_p）曲线和其他物理参数，最好地拟合观测到的光变曲线，利用合成颜色和热校正从静态大气模型。T_eff和V_p曲线首先由经验关系式导出，然后通过拟合算法改变它们。该方法产生的变化和绝对值的半径，有效温度，视觉亮度，和光度的个别对象。距离和质量也被确定。该方法是测试9 RRab星进行Baade-Wesselink分析早些时候由几位作者。我们的方法只使用这些恒星的光变曲线数据导出的物理参数是在直接Baade-Wesselink和其他技术定义的可能范围内。本文还提出了一个新的I_C星等与脉动速度之间的经验关系式，该关系式可使我们仅从测光观测资料来构造RRab星的V_p曲线，其精度约为3.5km/s。
英文摘要：
We present a new method for determining physical parameters of RRab variables exclusively from multicolour light curves. Our method is an Inverse Photometric Baade-Wesselink analysis which, using a nonlinear least squares algorithm, searches for the effective temperature (T_eff) and pulsational velocity (V_p) curves and other physical parameters that best fit the observed light curves, utilising synthetic colours and bolometric corrections from static atmosphere models. The T_eff and V_p curves are initially derived from empirical relations then they are varied by the fitting algorithm. The method yields the variations and the absolute values of the radius, the effective temperature, the visual brightness, and the luminosity of individual objects. Distance and mass are also determined. The method is tested on 9 RRab stars subjected to Baade-Wesselink analyses earlier by several authors. The physical parameters derived by our method using only the light curve data of these stars are well within their possible ranges defined by direct Baade-Wesselink and other techniques. A new empirical relation between the I_C magnitude and the pulsational velocity is also presented, which allows to construct the V_p curve of an RRab star purely from photometric observations to an accuracy of about 3.5 km/s.
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