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Meredith L. Rawls edited Physical parameters.tex
over 9 years ago
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\subsection{All-eclipse ELC model}
We use ELC to solve for 19 parameters: orbital period $P_{orb}$, zeropoint $T_{conj}$ (this sets the primary eclipse to orbital phase $\phi_{ELC} = 0.5$ instead of $\phi = 0$), orbital inclination $i$, $e \sin \omega$ and $e \cos \omega$ (where $e$ is eccentricity and $\omega$ is the longitude of periastron), the temperature of the primary star $T_1$, the mass of the primary star $M_1$, the amplitude of the primary star's radial velocity curve $K_1$, the fractional radii of each star $R_1/a$ and $R_2/a$ (where $a$ is the average orbital seperation), the
temperature ratio $T_2/T_1$, the \emph{Kepler} contamination factor for each of four spacecraft configurations, and stellar limb darkening parameters for the quadratic limb darkening law. Because all binaries obey the relation
\begin{equation}
\frac{M_1}{M_2} = \frac{K_2}{K_1},
\end{equation}