Revisiting the mass- and radius–luminosity relations for FGK main-sequence stars

Scaling relations are very useful tools for estimating unknown stellar quantities. Within this framework, eclipsing binaries ideal goal because their mass and radius known with a good level of accuracy, leading to improved constraints on the models. We aim provide empirical as function luminosity, metallicity, age. investigate, in particular, impact metallicity age those relations. used multi-dimensional fit approach based data from DEBCat, an updated catalogue binary observations such mass, radius, effective temperature, gravity, metallicity. {PARAM web interface Bayesian estimation parameters, along with} evolutionary code MESA estimate age, assuming coeval hypothesis both members. derived radius-luminosity-metallicity-age using 56 stars, {with range -0.34<[Fe/H]<0.27 0.66<M/M{_\odot}<1.8}. With that, observed reproduced accuracy 3.5% 5.9%, respectively, which is consistent other results literature. conclude that including increases quality fit, particularly terms compared radius. On hand, authors have noted, we higher dispersion relation than propose due effect.