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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 $i(\Delta m)$