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Context. Limb darkening is an important tool for understanding stellaratmospheres, but most observations measuring limb darkening assume variousparameterizations that yield no significant information about the structure ofstellar atmospheres. Aims. We use a specific limb-darkening relation to studyhow the best-fit coefficients relate to fundamental stellar parameters fromspherically symmetric model stellar atmospheres. Methods. Using a grid ofspherically symmetric Atlas model atmospheres, we compute limb-darkeningcoefficients, and develop a novel method to predict fundamental stellarparameters. Results. We find our proposed method predicts the mass of stellaratmosphere models given only the radius and limb-darkening coefficients,suggesting that microlensing, interferometric, transit and eclipse observationscan constrain stellar masses. Conclusions. This novel method demonstrates thatlimb-darkening parameterizations contain important information about thestructure of stellar atmospheres, with the potential to be a valuable tool formeasuring stellar masses.

Using limb darkening to measure fundamental parameters of stars