The mass-luminosity relation connects a star's mass to its luminosity. Its slope depends on opacity, nuclear burning, pressure support, composition, and evolutionary state.
Balancing outward radiative acceleration against gravity givesIt is an approximate upper luminosity for a hydrostatic star of opacity .
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The mass-luminosity relation is an important empirical relationship in astrophysics that describes how the luminosity (the amount of light energy radiated per unit time) of a star is related to its mass. This relationship is particularly applicable to main sequence stars, which are stars that are in the stable phase of hydrogen burning in their cores.