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Meredith L. Rawls edited Physical parameters.tex
over 9 years ago
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\section{Physical parameters from light curve \& radial velocities}\label{model}
To derive physical and orbital parameters for KIC 9246715, we use the Eclipsing Light Curve (ELC) code \citep{oro00}. ELC employs photodynamical modeling with a genetic algorithm or Monte Carlo Markov Chain optimizers to simultaneously solve for a suite of stellar parameters. It is able to consider any set of input constraints simultaneously, i.e., a combination of light curves and radial velocities, and can use a full treatment of Roche geometry
\citep{avn75}. \citep{kop69,avn75}. It uses the NextGen model atmospheres integrated over a specified filter (in this case, the relatively broad ``white-light'' \emph{Kepler} bandpass).
To characterize the binary, we compute two sets of ELC models. The first set is done before any constraints from Section \ref{atm} are known. We use the full folded light curve together with all radial velocity points and employ ELC's ``fast analytic mode.'' This first set of models uses the equations in \citet{gim06} and treats the two stars as perfect spheres, which is a reasonable assumption for a well-detached binary. We use the parameters from these prelimiary models to guide the spectral disentangling process described in Section \ref{atm}.
% NOT GIMENEZ, BUT INSTEAD, MANDEL & AGOL (see Jerry's emails 10/1)