恒星质量是恒星物理以及恒星系统动力学研究中一个不可或缺的参量.双星轨道拟合是获取恒星(动力学)质量的最可靠途径,而绝大部分恒星的质量仍然需要通过恒星质光关系来估计,因此,通过拟合恒星动力学质量和光度数据得到经验质光关系的工作具有重要意义.尽管主序星的V波段质光关系由于金属丰度的影响而具有一定的弥散性,但有研究表明这种影响主要限于恒星质量小于0.6M⊙的情况.对于较大质量的主序星,近年来的观测拟合研究积累了比较充分的动力学质量和V波段光度数据,从而为显著改进上述质光关系提供了可能.利用一个能合理分配两个不同量纲观测量权重的拟合方法,根据203颗恒星的动力学质量和光度数据给出了主序星的V波段经验质光关系,该结果对此前结果的改进不仅具有统计显著性,而且其对恒星质量估计的相对误差已达到约5%.因此,该结果不仅可以用于开展有关恒星物理或恒星系统动力学方面的统计性研究,而且对具体实际多星系统的长期动力学研究和短期定位研究等也有应用价值.
Stellar mass is an indispensable parameter in the studies of stellar physics and stellar dynamics. On the one hand, the most reliable way to determine the stellar dy- namical mass is via orbital determination of binaries. On the other hand, however, most stellar masses have to be estimated by using the mass-luminosity relation (MRL). Therefore, it is important to obtain the empirical MRL through fitting the data of stellar dynamical mass and luminosity. The effect of metallicity can make this relation disperse in the V-band, but studies show that this is mainly limited to the case when the stellar mass is less than 0.6M⊙. Recently, many relevant data have been accumulated for main sequence stars with larger mass, which make it possible to significantly improve the corresponding MRL. Using a fitting method which can reasonably assign weight to the observational data including two quantities with different dimensions, we obtain a V-band MRL based on the dynamical masses and luminosities of 203 main sequence stars. Compared with the previous work, the improved MRL is statistically significant, and the relative error of mass estimation reaches about 5%. Therefore, our MRL is useful not only in studies of statistical nature, but also in studies of concrete stellar systems, such as the long-term dynamical study and the shortterm positioning study of a specific multiple star system.