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Hans Moritz Günther added soundspeed.tex
almost 10 years ago
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\subsubsection{Sound speed}
Observations of jets and winds from CTTS indicate that typical temperatures are a few thousand K and typical densities are in the range $10^4-10^6 \mathrm{ cm}^{-3}$ in the optically visible component \citep[e.g.][]{2000A&A...356L..41L,2007ApJ...657..897K}. This might not be the same outflow component that our model describes, but it is the best available observational estimate available. With those numbers the sound speed $c_s$ si
\begin{equation}
c_s=\sqrt{\gamma \frac{k T}{m_{\textrm{H}}} \approx 10 \textrm{ km s}^{-1} \; ,
\end{equation}
which is low enough that a strong shock forms even for small values of $\psi$.
