\begin{table}%t1
\par
\caption {\label{tab:ODinputParams}Density, mass and mass perturbation ratios
defining the satellite initial OD for the mergers in the SSIM.}
%\centerline
 {\begin{tabular}{cccc}
\hline \hline
$\epsilon$, panel$^{{}}${\scriptsize $^{*}$} & $M_{\rm ratio}$ & $D_{\rm ratio}$ & $M_{\rm OD}/M_{\rm BG}${\tiny $^{\dagger}$}\\
\hline
$3/2,$ upper panel & 0.751 & 0.282 & 1.173\\
$3/2,$ middle panel & $4.25\times10^{-2}$ & $7.10\times10^{-2}$ & $9.38\times10^{-2}$\\
$3/2,$ lower panel & $6.92\times10^{-2}$ & 0.168 & 1.453\\
\hline
$5/2,$ upper panel & 0.889 & $5.51\times10^{-2}$ & 0.319\\
$5/2,$ middle panel & 0.439 & $5.54\times10^{-2}$ & 0.290\\
$5/2,$ lower panel & 0.178 & 0.454 & 1.133\\
\hline
$2.9,$ upper panel & 0.753 & $9.19\times10^{-2}$ & 0.416\\
$2.9,$ middle panel & 0.407 & 0.641 & 1.118\\
$2.9,$ lower panel & 0.301 & $9.71\times10^{-2}$ & 0.344\\
\hline
\end{tabular}}
\par
\smallskip
$^{*}$ Parent initial power-law seed and panel order
in reference to Figs.~\ref{fig:VirialODPhSp1.5}--\ref{fig:VirialODPhSp2.9}.
\\
{$^{\dagger}$} {OD perturbation compared to background
region it spans, just before entering core.}
\end{table}