On the Mass-Luminosity Relation

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Scientific paper

The results of a least-squares study of the mass-luminosity relation for eclipsing and visual binary stars consisting of main sequence components are presented. Two methods are discussed. In Part A, the values of the coefficientsA andB in the relation logM=A+BM Bol are determined. Part B presents a technique which permits the determination of α and β in the relationM=αL β, when only the sum of the masses, and not the individual masses of each component, is known. The results and a comparison of the two methods are discussed. It is found that the following massluminosity relation represents the observational data satisfactorily: log M = 0.504 - 0.103M_{BOL,} {text{ }} - ≤slant M_{BOL} ≤slant + 10.5 . A discussion of the data and of the possibility that separate mass-luminosity relations may exist for visual and eclipsing binaries is given. The possiblity that more than one mass-luminosity relation is required in the range -8≤M Bol ≤+13 is also discussed.

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