A new deepening of mass-radius empirical relation for main sequence stars

In the following paper I have compared some typical mass-radius relations for main sequence stars by studying their level of agreement with DEBCat (J. Southworth, ASP Conf. Ser. 496 (2015), https://doi.org/10.48550/arXiv.1411.1219, https://www.astro.keele.ac.uk/jkt/debcat/debs.dat), which is a recent catalog by J. Southworth. Models chosen for testing were originally developed using older, smaller datasets than DEBCat. Each model follows a two-piece function structure, where each branch is a monomial power-law. This approach is motivated by theoretical considerations suggesting that low-mass and high-mass main sequence stars exhibit distinct behaviors in energy production and transport. Best level of agreement with DEBCat is found for Zamorano’s model (J. Zamorano, A. Gimenez, Astrophys. Space Sci. 114 (1985), https://doi.org/10.1007/bf00653969). Also a new empirical relation is proposed by fitting a two-piece monomial power-law to DEBCat main sequence stars.