Fundamental Stellar Parameters with APOGEE and Kepler

Total eclipsing binary systems form the building blocks of stellar astrophysics as they provide highly accurate fundamental parameters, such as radii and masses. The results of binary star modeling propagate into many aspects of astrophysics from testing and validating evolutionary stellar models and asteroseismic scaling relations to distance determination for local galaxies. APOGEE is a spectroscopic survey that observes in the near-infrared, which provides greater sensitivity towards fainter, red companions. Here we present the precise analysis of four flat bottomed eclipsing binary systems, KIC 2306740, KIC 4076952, KIC 5193386 and KIC 5288543; each with observations from the Kepler satellite and the APOGEE survey. We combined the binary modeling software, PHOEBE, with EMCEE, an affine invariant Markov chain Monte Carlo sampler; CELERITE, a Gaussian process library; and our own codes to create a modeling suite capable of modeling correlated noise, shot noise, nuisance astrophysical signals (such as spots) and the usual binary characteristics. The subsequent results are provided within a Bayesian framework, with robust mass and radius uncertainties ~1-4%. We plot our results alongside evolutionary models and show that our results concur with previous observations. This work has been funded by NASA ADAP #80NSSC19K0594.