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Hans Moritz Günther edited initialwindtemperature.tex
about 10 years ago
Commit id: 6798c7a30c2841d5bb3503226a744260bbc0f73f
deletions | additions
diff --git a/initialwindtemperature.tex b/initialwindtemperature.tex
index 66597dc..2638878 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]\ m_{\textrm{H}} 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 $T_0$.