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 $P_e = r_s + r_g$ r_g$,  where $r_s$ and $r_g$ are the radii of the greater and smaller stars respectively, but respectively. But  in this case they study the authors  wish to study 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 $i(\Delta m)$