deletions | additions       diff --git a/sectionSpin_Evolutio.tex b/sectionSpin_Evolutio.tex  index 9e4becd..31b6795 100644  --- a/sectionSpin_Evolutio.tex  +++ b/sectionSpin_Evolutio.tex 
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\label{eqn:AMvec}  J_w \sim \frac{2 \pi}{\bar{\omega}} \dot{J} \sim \frac{2 \bar{m} \pi}{\omega_{\rm c}^2} \mathcal{M} L_{\rm c} \, ,  \end{equation}  which we have calculated using equations \ref{eqn:Ewaves} and \ref{eqn:Jwaves}, and assuming typical wave packets have angular frequency $\omega_{\rm c}$ and last for an eddy turnover time, $2 \pi/\omega_{\rm c}$. The expected magnitudes of the $x$, $y$, and $z$ components of the AM vector are $J_w/\sqrt{3}$. Since are our  goal is to find a minimum rotation rate, we use $\bar{m}=1$ to minimize the AM carried by each wave packet.