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\subsection{Simulations}  To measure infall times of satellites, we use ELVIS (Exploring the Local Volume in Simulations), a suite of cosmological zoom-in $N$-body simulations targeted intended  to modeling model  the LG \citep{GarrisonKimmel2014}. ELVIS was run using \textsc{GADGET-3} and \textsc{GADGET-2} \citep{Springel2005e} in a $\Lambda$CDM cosmology based on WMAP7 \citep{Larson2011}: $\sigma_8=0.801$, $\omegamatter=0.266$, $\omegalambda=0.734$, $n_s=0.963$ and $h=0.71$.  Within the zoom-in regions, the particle mass is $1.9\times10^5\msun$ and the Plummer-equivalent force softening is $140\pc$ physical.