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Jim Fuller edited section_Magnetic_Trapping_subsection_Magneto__.tex
about 9 years ago
Commit id: 66328924b38b767342f9014f35e859bc96481631
deletions | additions
diff --git a/section_Magnetic_Trapping_subsection_Magneto__.tex b/section_Magnetic_Trapping_subsection_Magneto__.tex
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\label{eqn:vamin}
2 |\mu| v_A > \frac{\omega^2}{N k_\perp} \, .
\end{equation}
This occurs approximately where the Alfven speed is larger than the radial component of the gravity wave group velocity. Low frequency gravity waves cannot exist because magnetic tension overwhelms the buoyancy force, i.e., the stiff field lines cannot be bent by low frequency gravity wave motion.
Magneto-gravity For a radially oriented field, magneto-gravity waves are evanescent in regions where $\omega <
|\mu|^{1/2} \omega_{\rm MG}$, and $\omega_{\rm MG}$ is the magneto-gravity frequency defined as
\begin{equation}
\label{eqn:maggrav}
\omega_{MG} = \sqrt{2 v_A N k_\perp} \, .