this is for holding javascript data
E. Farrell edited section3.tex
about 10 years ago
Commit id: 57587f9dd52c7260e9d1ce8d488b6d917aeaa359
deletions | additions
diff --git a/section3.tex b/section3.tex
index a46daa6..893774a 100644
--- a/section3.tex
+++ b/section3.tex
...
\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 the
greater 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 $i(\Delta m)$