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}