\begin{table}%t3
\caption{\label{table: local_back}The limits in the $(a,e,\sin(i))$ domain of the local background for the families studied in this paper.}
\par
%\centering
\small
\begin{tabular}{ccccccc}
\hline\hline
Family name & $a_{\rm min}$ [AU] & $a_{\rm max}$ [AU] & $e_{\rm min}$ & $e_{\rm max}$ & $\sin(i_{\rm min})$ & $\sin(i_{\rm max})$ \\
\hline
 Erigone    & 2.28 & 2.46 & 0.04 & 0.32 & 0.05  & 0.13 \\
 Elektra    & 2.94 & 3.27 & 0.08 & 0.31 & 0.33  & 0.48 \\
 Phocaea    & 2.21 & 2.48 & 0.12 & 0.34 & 0.34  & 0.45 \\
 Baptistina & 2.17 & 2.37 & 0.01 & 0.30 & 0.05  & 0.14 \\
 Vesta      & 2.19 & 2.54 & 0.00 & 0.30 & 0.06  & 0.17 \\
 Hansa      & 2.45 & 2.81 & 0.01 & 0.18 & 0.33  & 0.42 \\ 
\hline
\end{tabular}
\end{table}