\begin{table}%t2 \caption{\label{paramphy}Physical parameters fitted in INPOP08. } \small%\centerline { \begin{tabular}{l l l r r r l} \hline\hline &Unit& DE414& DE421& EPM 2008 & INPOP06 & INPOP08 \\ \hline \noalign{\smallskip} Mass of Ceres & $10^{-10}~M_{\odot}$& 4.699 $\pm$ 0.028& 4.685 & 4.712 $\pm$ 0.006 & 4.756 $\pm$ 0.020& 4.658 $\pm$ 0.045\\ Mass of Vesta& $10^{-10}~M_{\odot}$& 1.358 $\pm$ 0.016 & 1.328 & 1.344 $\pm$ 0.003& 1.348 $\pm$ 0.015 & 1.392 $\pm$ 0.015 \\ Mass of Pallas& $10^{-10}~M_{\odot}$& 1.026 $\pm$ 0.028& 1.010 & 1.027 $\pm$ 0.007 & 1.025 $\pm$ 0.005 & 1.076 $\pm$ 0.010\\ Mass of Juno& $10^{-10}~M_{\odot}$& 0.149 $\pm$ 0.015& 0.116 & n/a & NE & 0.075 $\pm$ 0.015 \\ Mass of Iris& $10^{-10}~M_{\odot}$& 0.060 $\pm$ 0.010 & 0.060 & n/a & 0.058 $\pm$ 0.005 & 0.050 $\pm$ 0.010\\ Mass of Bamberga& $10^{-10}~M_{\odot}$& 0.047 $\pm$ 0.007& 0.048 & n/a & 0.046 $\pm$ 0.003 & 0.056 $\pm$ 0.004\\ Mass of Ring& $10^{-10}~M_{\odot}$& 0.30 & NE &n/a & 0.34 $\pm$ 0.1& 1.0 $\pm$ 0.3\\ Distance of Ring& UA& 2.8 & NE & n/a & 2.8 & 3.14 \\ Density of the C class& & 1.62 $\pm$ 0.07& 1.09 & n/a & 1.56 $\pm$ 0.02 & 1.54 $\pm$ 0.07 \\ Density of the S class& & 2.08 $\pm$ 0.19& 3.45& n/a & 2.18 $\pm$ 0.04 & 1.94 $\pm$ 0.14\\ Density of the M class& & 4.32 $\pm$ 0.37 & 4.22 & n/a & 4.26 $\pm$ 0.12 & 4.98 $\pm$ 0.50\\ Sun J2& $10^{-7}$& 2.34 $\pm$ 0.49 & 2.0 & n/a & 2.46 $\pm$ 0.40 & 1.82 $\pm$ 0.47 \\ EMRAT & & 81.300568 & 81.300569 & 81.3005690 $\pm$ 0.0000001 & NE & 81.300540 $\pm$ 0.00005\\ AU-${\rm AU_{IERS03}}$ & m & 9.8 $\pm$ 0.15 & 8.6 $\pm$ 0.15 & 4.4 $\pm$ 0.10 & NE & 8.22 $\pm$ 0.11 \\ \hline \end{tabular}} \smallskip Other values deduced from planetary ephemerides are presented for comparison. EPM08 stands for Pitjeva (\cite{Pitjeva2008}). The uncertainties are given at 5-sigma for the GMs and 1 formal sigma for others. n/a stands for non-avalaible and NE as non-estimated. For~AU, the presented values are the differences in meters between the fitted values and the AU value of the IERS conventions 2003, ${\rm AU_{IERS03}} = 14~9597~870.691$~km. \vspace*{2mm} \end{table}