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The empirical mass-luminosity relation for low mass stars

2007/12/21 by Fang Xia, Shulin Ren, Yanning Fu · 21 citations
Physics and Astronomy · #Astronomy and Astrophysical Research #Cosmology #Feature (linguistics) #Luminosity #Observational cosmology #Observational study #Plane (geometry) #Plateau (mathematics) #Relation (database) #Scientific Research and Discoveries #Stars #Stellar, planetary, and galactic studies #astro-ph

paper · pdf · doi:10.1007/s10509-007-9729-8

published in Astrophysics and Space Science 314(1-3), 51-58 (Springer Science+Business Media) · 8 pages, 2 figures. Accepted for publication in Astrophysics & Space Science

arxiv created 2007/12/21 · openalex publication_date 2008/01/07 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

This work is devoted to improving empirical mass-luminosity relations and mass-metallicity-luminosity relation 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 mass-luminosity relation. 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 0.28 to 0.50 solar mass. Three-piecewise continuous improved mass-luminosity relations in K, J, H and V bands, respectively, are obtained. The visual mass-metallicity-luminosity relation is also improved based on our K band mass-luminosity relation and the available observational metallicity data.

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