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Jim Fuller edited section_Magnetic_Trapping_subsection_Magneto__.tex
about 9 years ago
Commit id: 817840dd153a72aefae247559d52d51f3a133b4e
deletions | additions
diff --git a/section_Magnetic_Trapping_subsection_Magneto__.tex b/section_Magnetic_Trapping_subsection_Magneto__.tex
index 87f1b91..63f4c36 100644
--- a/section_Magnetic_Trapping_subsection_Magneto__.tex
+++ b/section_Magnetic_Trapping_subsection_Magneto__.tex
...
\label{eqn:Bc}
B_c= \sqrt{\frac{\pi \rho}{2}} \, \frac{\omega^2 r}{N} \, .
\end{equation}
Low frequency gravity waves cannot exist in these regions because magnetic tension overwhelms the buoyancy force, i.e., the stiff field lines cannot be bent by the placid gravity wave motion. In other words,
gravity waves
become are evanescent
in regions where their frequency $\omega$ is less than the magneto-gravity frequency $\omega_{\rm MG}$ defined as
\begin{equation}
\label{eqn:maggrav}
\omega_{MG} = \sqrt{2 v_{A,r} N k_\perp} \, .