\section{Quad Misalignment}
We estimate the error in our determination of the efield correction in the event
that all inner and outer plates on each of the eight quads are displaced radially by a fixed amount,
and if all of the inner and outer plates share a common voltage error.
Suppose the plates are displaced by an amount $\Delta r$. The magic momentum will no longer be along the quad axis.
The on axis momentum will be shifted from $R_{magic}$ to $R_m+\Delta r$ corresponding to a change in momentum with respect to $p_m$ of
$\Delta p/p = \Delta r/R_m$. The closed orbit of the magic momentum muon will shift to 
$$R_m +\Delta r- \eta \frac{\Delta p}{p} = R_m +\Delta r- \frac{R_m}{1-n)\frac[Delta r}{R_m} = R_m-\Delta r\frac{n}{1-n}$$ 
