\begin{table}%t9
%\centering
\caption{Polynomial part of the~$\psi_A$ and~$\omega_A$ developments (units in arcseconds): comparison of (1)  IAU2000 (Mathews et~al. \cite{Mathews2002}) -- (2) P03 (Capitaine et~al. \cite{Capitaine2003}) -- (3) Differences of Geod04 (this study) with respect to P03, considering all the contributions for~$\Delta H$ (Table~\ref{tab:adjustments_total},~$\Delta H_{\rm tot}$) -- (4) Differences of Geod04 with respect to P03, obtained with a~$H$ constant part different from~$H_{\rm MHB}$, but not used in the following (see Table~\ref{tab:Coeff_et_H} for the~$H^*$ and~$H^{**}$ constant values).}\label{tab:Fourier_results}
%\centering
$$
\begin{tabular}{llcccc}
\hline
\hline
\noalign{\smallskip}
Angle      & Source            &~$t^0$  &      ~$t$	        &    ~$t^2$           & ~$t^3$            \\
\noalign{\smallskip}
\hline
\noalign{\smallskip}
	   &(1) {\it IAU2000}  &        & {\it~$5038\farcs478750$} & {\it~$-1\farcs07259$}  & {\it~$-0\farcs001147$}  \\
\noalign{\smallskip}
           &(2) {\it P03}      &        & {\it~$5038\farcs481507$} & {\it~$-1\farcs079007$} & {\it~$-0\farcs001140$}  \\
\noalign{\smallskip}
\cline{2-6}
\noalign{\smallskip}
\noalign{\smallskip}
$\psi_A$   &                   &        & \multicolumn{3}{c}{$\overbrace{
%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\hspace*{5.4cm}}^{\mbox{Differences wrt P03}}$}\\
           &(3) Geod04 ~~$H_{\rm MHB}$&	&        ~$0''$         &      $-7$ mas         &   2~$\mu$as       \\
\noalign{\smallskip}
\noalign{\smallskip}
	   &(4) Geod04 
	    ~$\left\{
	     \begin{tabular}{l}
	    ~$H^*$   \\
	    ~$H^{**}$               
	     \end{tabular}
	     \right.$          &\begin{tabular}{l}
				  \\
\par
				\end{tabular} &\begin{tabular}{c}
					      ~$\simeq10\farcs23$  \\ 
					      ~$\simeq0\farcs37$
					       \end{tabular} &\begin{tabular}{l}
							      $-9.177$ mas  \\
							      $-7.079$ mas
							      \end{tabular}     &\begin{tabular}{c}
									         $-3$~$\mu$as \\
									          2~$\mu$as
									         \end{tabular}      \\
\noalign{\smallskip}
\hline
\noalign{\smallskip}
\noalign{\smallskip}
\noalign{\smallskip}
\noalign{\smallskip}
\hline
\hline
\noalign{\smallskip}
	   &(1) {\it IAU2000}& {\it~$84381\farcs448$}  & {\it~$-0\farcs025240$}  & {\it~$0\farcs05127$}   & {\it~$-0\farcs00772$}  \\
\noalign{\smallskip}
           &(2) {\it P03}    & {\it~$84381\farcs406$}  & {\it~$-0\farcs025754$}  & {\it~$0\farcs051262$}  & {\it~$-0\farcs007725$} \\
\noalign{\smallskip}
\cline{2-6}
\noalign{\smallskip}
\noalign{\smallskip}
$\omega_A$ &                 & \multicolumn{4}{c}{$\overbrace{
%~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
\hspace*{6.9cm}}^{\mbox{Differences wrt P03 in~$\mu$as}}$}\\      
           &(3) Geod04 ~~$H_{\rm MHB}$&        0     &        0          &       0          &     0            \\
\noalign{\smallskip}
\noalign{\smallskip}
	   &(4) Geod04 
	    ~$\left\{
	     \begin{tabular}{l}
	    ~$H^*$   \\
	    ~$H^{**}$               
	     \end{tabular}
	     \right.$       &\begin{tabular}{l}
			      0 \\
                              0	
			     \end{tabular}      &\begin{tabular}{l}
					          0 \\ 
					          0
					         \end{tabular}     &\begin{tabular}{c}
							             104   \\
							               3   
							            \end{tabular}     &\begin{tabular}{l}
									               $-35$   \\
									               ~$-1$ 
									               \end{tabular}      \\
\noalign{\smallskip}
\hline
\end{tabular}
$$
\end{table}