deletions | additions       diff --git a/initialwindtemperature.tex b/initialwindtemperature.tex  index 643adec..66597dc 100644  --- a/initialwindtemperature.tex  +++ b/initialwindtemperature.tex 
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\end{eqnarray}  and thus eqn.~\ref{eqn:ode} becomes  \begin{equation}  \frac{\rm{d}\omega}{\rm{d}z} = \tan\left[\arctan\left(\frac{\omega}{z}\right)-\arcsin\sqrt{\frac{z^2+\omega^2}{R_0^2}-\frac{kT}{\mu m_{\textrm{H} v_infty^2}}}\right]\ v_{\infty}^2}}}\right]\  . \end{equation}  The post-shock temperature $T_{\mathrm{post-shock}}$ is now the sum of the value calculated in eqn.~\ref{eqn:T} and $T_0$.