Meredith L. Rawls edited Physical parameters.tex  almost 9 years ago

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where $f_{\rm{mod}}(\phi_i; \ {\bf a})$ is the ELC model flux at a given phase $\phi_i$ for a set of parameters ${\bf a}$, $f_{\rm{obs}}$ is the observed value at the same phase, and $\sigma_i$ is the associated uncertainty.  To characterize the binary, we compute two sets of ELC models. The first uses all eclipses from the light curve together with all radial velocity points and employ ELC's ``fast analytic mode.'' This and subsequent models use the equations in \citet{man02} to treat both stars as spheres, which is reasonable for a well-detached binary like KIC 9246715. We use the parameters from this model to inform the spectral disentangling process described in Section \ref{atm}. The second set of ELC models breaks the light curves into segments to investigate how stellar activity affects photometric variations from one set of eclipses to another affect  the results. \subsection{All-eclipse ELC model}