The empirical mass-luminosity relation for low mass stars |
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| Authors: | Fang Xia Shulin Ren Yanning Fu |
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| Institution: | (1) Purple Mountain Observatory, Chinese Academy of Sciences, Nanjing, 210008, China;(2) Graduate School of Chinese Academy of Sciences, Beijing, 100039, China |
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| Abstract: | This work is devoted to improving empirical mass-luminosity relations (MLR) and mass-metallicity-luminosity relation (MMLR)
for low mass stars. For these stars, observational data in the mass-luminosity plane or the mass-metallicity-luminosity space
subject to non-negligible errors in all coordinates with different dimensions. Thus a reasonable weight assigning scheme is
needed for obtaining more reliable results. Such a scheme is developed, with which each data point can have its own due contribution.
Previous studies have shown that there exists a plateau feature in the MLR. Taking into account the constraints from the observational
luminosity function, we find by fitting the observational data using our weight assigning scheme that the plateau spans from
0.28M⊙ to 0.50M⊙. Three-piecewise continuous improved MLRs in K, J, H and V bands, respectively, are obtained. The visual MMLR is also improved
based on our K band MLR and the available observational metallicity data. |
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| Keywords: | Stars: low-mass Stars: fundamental parameters Methods: numerical |
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