从多色测光和Kurucz大气模型得到的RR天琴座星的基本参数。I.理论和实际执行
Fundamental parameters of RR Lyrae stars from multicolour photometry and Kurucz atmospheric models. I. Theory and practical implementation
摘要：
Kurucz静态模型大气的光度校准被用来获得RR型天琴座恒星的参数：恒星角半径$\vartheta$，有效温度$T_{\rm e}$和重力$g_{\rm e}$作为相位的函数，星际红$E(B-V)$对恒星，和大气金属丰度$M$的变化。当准静态大气近似（QSAA）可以应用时，光度和水动力条件，以找到脉动的相位。将QSAA推广到非均匀运动的球形大气，并从质量和动量守恒定律导出距离$d$，质量${\cal M}$和大气运动。为了证明该方法的有效性，使用SU Dra的$UBV(RI)_C$光度法推导出以下参数：$[M]=-1.60\pm .10$ dex、$E(B-V)=0.015\pm .010$、$d=663\pm 67$ pc、${\cal M}=(0.68\pm .03){\cal M}_\odot$、平衡光度、$L_{\rm eq}=45.9\pm 9.3L_\odot$、$T_{\rm eq}=6813\pm 20$ K。
英文摘要：
A photometric calibration of Kurucz static model atmospheres is used to obtain parameters of RR Lyrae stars: variation of stellar angular radius $\vartheta$, effective temperature $T_{\rm e}$, and gravity $g_{\rm e}$ as a function of phase, interstellar reddening $E(B-V)$ toward the star, and atmospheric metallicity $M$. Photometric and hydrodynamic conditions are given to find the phases of pulsation when the quasi-static atmosphere approximation (QSAA) can be applied. The QSAA is generalized to a non-uniformly moving spherical atmosphere, and the distance $d$, mass ${\cal M}$, and atmospheric motion are derived from the laws of mass and momentum conservation. To demonstrate the efficiency of the method, the $UBV(RI)_C$ photometry of SU Dra was used to derive the following parameters: $[M]=-1.60\pm .10$ dex, $E(B-V)=0.015\pm .010$, $d=663\pm 67$ pc, ${\cal M}=(0.68\pm .03){\cal M}_\odot$, equilibrium luminosity, $L_{\rm eq}=45.9\pm 9.3L_\odot$, $T_{\rm eq}=6813\pm 20$ K.
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