deletions | additions       diff --git a/Likewise_non_central_encounters_with__.tex b/Likewise_non_central_encounters_with__.tex  index 647a87a..cf741be 100644  --- a/Likewise_non_central_encounters_with__.tex  +++ b/Likewise_non_central_encounters_with__.tex 
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Using this equation and the encounter geometry again, we find that the probability density for $\Gamma_{\rm obs}$ is   \begin{equation}  \label{eqn:fwhm_distortion_probability}  \dfrac{dp}{d\Gamma_{\rm obs}} = \dfrac{\Gamma_{\rmobs}\ d\Gamma_{\rm  obs}}{b_{\rm max}^2} = 4 \Gamma_{\rm act}^{-2} \left( \dfrac{P_{\rm min}}{P_{\rm act} - P_{\rm min}}\right) \Gamma_{\rm obs}. \end{equation}