E. Farrell edited section3.tex  about 10 years ago

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\section{Eclipse Statistics}  The authors note it is straightforward to show that the probability of an eclipse at any depth is $P_e = r_s + r_g$, where $r_s$ and $r_g$ are the radii relative to orbit size $(r/a)$,  of thegreater and  smaller and greater  stars respectively. But in this study the authors wish to calculate the probability of an eclipse of \textbf{any specified} magnitude depth, which calls for a different approach. \paragraph{}  In order to calculate this probability, the function $i(\Delta m)$ must be derived. Although the maximum primary eclipse depth $\Delta m$ is a well defined function of the inclination angle i, iteration is needed to find this inverse function $i(\Delta m)$