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Jim Fuller edited Magnetic Constraints.tex
about 9 years ago
Commit id: 488cb1d0c7622568397b0433f9552c6923e4d6f3
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Above, we showed that incoming magneto-gravity waves will become trapped in the core if the magneto-gravity frequency $\omega_{\rm MG}$ exceeds the wave frequency $\omega$ at some point within the core. Magnetic trapping therefore require field strengths such that
\begin{equation}
v_A
> \gtrsim \frac{\omega^2}{2 \mu N k_\perp}
\end{equation}
somewhere in the g-mode cavity. This requires field strengths to exceed a critical value:
\beqin{equation}