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Brian Jackson edited subsection_The_Pressure_Signal_Full__.tex
almost 9 years ago
Commit id: 57144999a18aedcac47284af4ba8a8b0180a5b4f
deletions | additions
diff --git a/subsection_The_Pressure_Signal_Full__.tex b/subsection_The_Pressure_Signal_Full__.tex
index 9e021a4..c63f6ad 100644
--- a/subsection_The_Pressure_Signal_Full__.tex
+++ b/subsection_The_Pressure_Signal_Full__.tex
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\begin{equation}\label{eqn:Gamma_obs}
\Gamma_{\rm obs} = \frac{1}{2}\sqrt{\Gamma_{\rm act}^2 + \left( 2b \right)^2}
\end{equation}
Using this equation and the encounter geometry again, we find that the probability density for $\Gamma_{\rm obs}$
(modulo a term involving pressures) is
\begin{equation}
\dfrac{dp}{d\Gamma_{\rm obs}} = 8
\left( \dfrac{P_{\rm min}}{P_{\rm act} - P_{\rm min}} \right)\ \Gamma_{\rm act}^{-2}\ \Gamma_{\rm obs}.
\end{equation}
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