\begin{table}%t8 \caption{\label{correlsizes1}Correlations and dependence on ``sizes''.} \small%\centerline { \begin{tabular}{c c c c c c c c c c c} \hline\hline & & & OWN & & & OWN+LP & & & OWN+LP+2MS &\\ & correlated magnitudes& $\rho$ & SL(\%) & $n$ & $\rho$ & SL(\%) & $n$ & $\rho$ & SL(\%) & $n$\\ \hline Classicals & $B-V$ vs. $q$ & 0.59 & 95.13 & 12 & 0.37 & 98.24 & 43 & 0.40 & 99.83 & 64\\ &$B-V$ vs. $q$($H_{R}>$ 6.2)& & & 2 & 0.28 & 84.33 & 27 & 0.33 & 93.04 & 32\\ &$B-V$ vs. $q$($H_{R}<$ 6.2)& 0.64& 94.37 & 10 & 0.52 & 95.50 & 16 & 0.49 & 99.40 & 32\\ \hline & $R-I$ vs. $q$ & 0.17 & 52.53 & 19 & 0.32 & 97.63 & 50 & 0.30 & 98.71 & 69\\ &$R-I$ vs. $q$($H_{R}>$ 6.2)& 0.71& 91.98 & 7 & 0.57 & 99.85 & 31 & 0.51 & 99.68 & 35\\ &$R-I$ vs. $q$($H_{R}<$ 6.2)& $-$0.10& 26.38 & 12 &$-$0.09 & 30.42 & 19 & 0.06 & 26.99 & 34\\ \hline & $B-R$ vs. $q$ & 0.55 & 92.96 & 12 & 0.46 & 99.71 & 43 & 0.46 & 99.98 & 64\\ &$B-R$ vs. $q$($H_{R}>$ 6.2)& & & 2 & 0.48 & 98.58 & 27 & 0.47 & 99.06 & 32\\ &$B-R$ vs. $q$($H_{R}<$ 6.2)& 0.55& 90.20 & 10 & 0.43 & 90.37 & 16 & 0.49 & 99.39 & 32\\ \hline & $R-I$ vs. $e$ & 0.17 & 54.82 & 19 &$-$0.21 & 86.62 & 50 &$-$0.17 & 84.83 & 69\\ &$R-I$ vs. $e$($H_{R}>$ 6.2)& 0.14& 27.36 & 7 & $-$0.41& 97.68 & 31 & $-$0.38& 97.28 & 35\\ &$R-I$ vs. $e$($H_{R}<$ 6.2)& 0.15& 38.26 & 12 & 0.13& 42.35 & 19 & 0.04& 19.76 & 34\\ \hline & $V-R$ vs. $a$ & $-$0.14 & 45.84 & 19 & 0.18 & 80.79 & 52 & 0.12 & 69.48 & 73\\ &$V-R$ vs. $a$($H_{R}>$ 6.2)& $-$0.43& 70.62 & 7 & $-$0.06& 26.64 & 33 & $-$0.02& 10.12 & 38\\ &$V-R$ vs. $a$($H_{R}<$ 6.2)& 0.03& 7.39 & 12 & 0.48& 96.01 & 19 & 0.21& 76.84 & 35\\ \hline & $B-R$ vs. $a$ & 0.08 & 21.92 & 12 & 0.09 & 43.80 & 43 & 0.14 & 73.85 & 64\\ &$B-R$ vs. $a$($H_{R}>$ 6.2)& & & 2 & $-$0.19& 67.17 & 27 & $-$0.11& 44.33 & 32\\ &$B-R$ vs. $a$($H_{R}<$ 6.2)& 0.25& 54.40 & 10 & 0.56& 97.04 & 16 & 0.29& 89.64 & 32\\ \hline &$V-R$ vs. $\psi$ & 0.20& 61.21 & 19 & 0.05& 27.68 & 52 & 0.05& 30.00 & 73\\ &$V-R$ vs. $\psi$($H_{R}>$ 6.2) & 0.14& 27.36 & 7 & 0.28& 88.87 & 33 & 0.35& 96.69 & 38\\ &$V-R$ vs. $\psi$($H_{R}<$ 6.2) & 0.10& 25.46 & 12 & $-$0.34& 84.70 & 19 & $-$0.28& 89.76 & 35\\ \hline &$B-R$ vs. $\psi$ & 0.20& 48.39 & 12 &$<$0.01& 1.44 & 43 & $-$0.02& 14.42 & 64\\ &$B-R$ vs. $\psi$($H_{R}>$ 6.2)& & & 2 & 0.06& 24.44 & 27 & 0.19& 70.87 & 32\\ &$B-R$ vs. $\psi$($H_{R}<$ 6.2)& $-$0.07& 15.85 & 10 & $-$0.23& 62.57 & 16 & $-$0.32& 92.06 & 32\\ \hline Hot &$B-V$ vs. $q$ & 0.29& 51.60 & 7 & 0.41 & 94.71 & 23 & 0.38 & 97.96 & 38\\ &$B-V$ vs. $q$($H_{R}>$ 6.2)& & & 1 & 0.20 & 51.87 & 13 & 0.31 & 78.33 & 17\\ &$B-V$ vs. $q$($H_{R}<$ 6.2)&0.77& 91.55 & 6 & 0.70 & 96.35 & 10 & 0.39 & 91.46 & 21\\ \hline &$R-I$ vs. $q$ & 0.20 & 45.27 & 10& 0.23 & 75.89 & 27 & 0.19 & 76.46 & 40\\ &$R-I$ vs. $q$($H_{R}>$ 6.2) & 0.60 & 70.13 & 4& 0.37 & 84.55 & 16 & 0.20 & 61.21 & 19\\ &$R-I$ vs. $q$($H_{R}<$ 6.2) & 0.09 & 15.42 & 6& $<$0.01 & 2.30 & 11 & 0.13 & 45.04 & 21\\ \hline &$V-R$ vs. $a$ & $-$0.31 & 64.62 & 10 & 0.19 & 65.45 & 27 & 0.21 & 82.91 & 42\\ &$V-R$ vs. $a$($H_{R}>$ 6.2) & & & 4 & $-$0.23& 61.99 & 16 & $-$0.16 & 51.09 & 20\\ &$V-R$ vs. $a$($H_{R}<$ 6.2) & 0.37 & 59.38 & 6 & 0.67 & 96.66 & 11 & 0.49 & 97.41 & 22\\ \hline &$B-R$ vs. $a$ & $<$0.01 & $<$0.01 & 7 & 0.12 & 41.24 & 23 & 0.22 & 82.46 & 38\\ &$B-R$ vs. $a$($H_{R}>$ 6.2)& & & 1 & $-$0.13& 33.84 & 13 & $-$0.09& 26.85 & 17\\ & $B-R$ vs. $a$($H_{R}<$ 6.2)& 0.60 & 82.03 & 6 & 0.79 & 98.28 & 10 & 0.59 & 99.15 & 21\\ \hline Cold &$R-I$ vs. $q$ & 0.15 & 32.86 & 9 & 0.25 & 75.53 & 23 & 0.27 & 84.35 & 29\\ &$R-I$ vs. $q$($H_{R}>$ 6.2)& & & 3 & 0.56 & 96.29 & 15 & 0.60 & 98.06 & 16\\ &$R-I$ vs. $q$($H_{R}<$ 6.2)& $-$0.14 & 25.06 & 6 & $-$0.45& 76.86 & 8 &$-$0.30 & 69.60 & 13\\ \hline &$V-R$ vs. $a$& $-$0.17 & 36.26 & 9 & 0.35 & 91.29 & 25 & 0.09 & 38.31 & 31\\ &$V-R$ vs. $a$($H_{R}>$ 6.2)& $-$0.50 & 52.05 & 3 & 0.41 & 90.05 & 17 & 0.42 & 91.52 & 18\\ &$V-R$ vs. $a$($H_{R}<$ 6.2)& $-$0.20 & 34.53 & 6 & 0.17 & 34.08 & 8 & $-$0.30& 69.60 & 13\\ \hline \end{tabular}} \medskip Correlations results of colors versus orbital parameters and versus~$\psi$, a measure of the ``average Collisional Energy'' (Opik \cite{Opik76}) for classical objects. We correlate the whole group and two different subgroups of different ``sizes'' with $H_{R}>$ 6.2, and $H_{R}<$ 6.2. OWN means our own data, OWN+LP means our own data merged with the ESO Large Program data (Boehnhardt et~al. \cite{Boe02}; Peixinho et~al. \cite{Peix}), OWN+LP+2MS means the OWN+LP data merged with the Meudon Multicolor Survey data (Doressoundiram et~al. \cite{Doress_b}), $\rho$~= Spearman rank correlation, SL~= Significance level, $n$~= Number of objects. \end{table}