\begin{table}%T3
%\centering
\par
\caption{\label{tab:Coeff_et_H}Comparison between different values of the coefficient~$C/\left(M {R_{\rm e}}^2\right)$ and of the constant part for~$H$: (1) IAG values (Groten  1999) -- (2) MHB values (Mathews et~al.  \cite{Mathews2002}) -- (3) Constant part~$H^{**}$ obtained from Eq.~(\ref{eq:Hd}) using the~$M$,~$R_{\rm e}$ and~$C$ IAG values -- (4) Method of "Clairaut'' (Sect.~3.2), assuming hydrostatic equilibrium. The third and fourth methods use a constant part for~$\bar{C}_{20}$ of~$-4.841695 \times 10^{-4}$ in~Eq.~(\ref{eq:Hd}) (i.e.~$J_2=1.0826358 \times 10^{-3}$). The sense of the computation is indicated by the arrows.}
\begin{tabular}{lcccc}
\hline
\hline
\noalign{\smallskip}
			   &       (1)           &          (2)         &          (3)                &       (4)      \\
                           &   IAG (1999)        &       MHB~2000       &  Separate values for        &    Clairaut    \\
			   &                     &                      & ~$M$,~$R_{\rm e}$ and~$C$         &    Theory      \\
\noalign{\smallskip}
\hline
\noalign{\smallskip}
$C/\left(M~{R_{\rm e}}^2\right)$ &	0.330701         &   0.330698           & ~$0.330722^{**}$            & ~$0.331370^*$   \\
                           &~$\pm2 \times 10^{-6}$    & \multicolumn{3}{c}{} \\
\noalign{\smallskip}
			   &   ~$\Uparrow$       &   ~$\Uparrow$        &  ~$\Downarrow$              &  ~$\Downarrow$	\\
\noalign{\smallskip}
$H$                        &~$3.273763 \times 10^{-3}$ &~$3.27379492 \times 10^{-3}$ &~$H^{**}=3.27355562 \times 10^{-3}$ &~$H^*=3.26715240 \times 10^{-3}$\\
                           &~$\pm2 \times 10^{-8}$    & \multicolumn{3}{c}{} \\
\hline
\end{tabular}
\end{table}