\begin{table}%t3
\caption{ The performance of the various preliminary orbit
determination strategies discussed in the text.}
\label{tab:qualnumb}
%\centerline
 {
\begin{tabular}[c]{crrrrr}
\hline
\hline\\[-3mm]
\multicolumn{1}{c}{QC}  & 
\multicolumn{1}{r}{Objects}     &
\multicolumn{1}{r}{w/N.}     &
\multicolumn{1}{r}{w/o N.}     &
\multicolumn{1}{r}{D.C.}     &
\multicolumn{1}{r}{$\overline{M.S.}$}   \\ 
\hline
1   & $78~672$ & $78~672$ & $0$   & $78~672$ &     N.A. \\       
2   & $52~927$ & $52~906$ & $14$  & $52~888$ &$20.0$ \\ 
3   & $18~760$ & $18~642$ & $66$  & $18~543$ &$19.8$ \\ 
4   & $ 7818$ & $ 7684$ & $120$ &  $7518$ &$18.9$ \\ 
5   & $ 7452$ & $ 6199$ & $972$ &  $5~189$ &$14.7$ \\ 
6   & $56~098$ & $29~097$&$19~068$& $22~240$ &$13.4$ \\ 
7   & $ 2200$ & $    62$ &  $57$ &      $9$ &$ 7.2$ \\ 
\hline
Tot&$223~927$ &$193~262$&$20~297$&$185~059$ &$17.3$\\ 
\hline
\end{tabular}}
\par
%\textsc{Note:} 
NOTE: The columns contain: QC, the quality code as defined in
Table~\ref{tab:qualdef}; w/N, number of nominal solutions obtained
with differential corrections using the LOV solutions as intermediary;
w/o N, number of cases in which a LOV solution could be computed but a
nominal solutions could not; D.C., number of nominal solutions
obtained by the classical procedure, full differential corrections
without intermediaries; $\overline{M.S.}$, average number of multiple solutions
computed per object with some least squares orbit, taking into account
that the target was to compute 21 solutions per object. The average
number of multiple solutions per object in the Tot. (total) row does
not take into account the quality 1 orbits.
\end{table}