\begin{table}%t1
%\centering
\par
\caption{\label{table:parameters}Parameters of the models used to test the fitting procedure with simulated data.}
\begin{tabular}{c c c c c c c c c c}  
\hline\hline \noalign{\smallskip}
Case & $S/N$ & $a$  & $r$  & $i$ &$\Omega$  & $e$ & $\omega$  & Shift $Q/F$  & Shift $U/F$\\
& & [AU]& [$R_{\rm J}$]&[$^\circ$]&[$^\circ$]& &[$^\circ$] & [$\times 10^{-4}$]& [$\times 10^{-4}$]\\  
\hline  
&&0.03\tablefootmark{a}&1.5&60&120&0.2&200&--2.0&--0.7\\[-1mm]
1 (Fig.~\ref{fig:fit_sn5}) &  5.0 &&&&&&&&\\[-1mm]
%&&0.03\tablefootmark{a} &1.5 & 60&120&0.2&200&--2.0&--0.7\\
&&0.03\tablefootmark{a} &$ 1.5\pm0.1$ & $ 61 \pm 3$ & $124 \pm 4$ & 
$0.19\pm0.03$ & $199 \pm 4$ &  $ -2.1\pm0.1 $ & $-0.6\pm0.1 $\\
\hline
&&0.03\tablefootmark{a}&1.5 &75&90&0.0&--\tablefootmark{c}&1.0&--0.5\\
2 (Fig.~\ref{fig:fit_sn1.5}) &  1.5&&&&&&&&\\
&&0.03\tablefootmark{a}& $1.4\pm0.2 $ & $80\pm9$ & 
$94\pm8$ & 0.0\tablefootmark{b}&--\tablefootmark{c}&$0.9\pm0.3$&$-0.4\pm0.3$
\\
\hline  
\end{tabular}
\tablefoot{\tablefoottext{a}{Fixed parameter.} 
\tablefoottext{b}{The uncertainty of $e$ is 0.04.}  
\tablefoottext{c}{Undefined parameter; fixed to 90$^\circ$ in the fitting procedure for eccentric orbits.}
In each case the top row refers to the true parameters employed to simulate the data, while the bottom row gives the result obtained from the $\chi^2$-minimization. The 1$\sigma$ errors correspond to the standard deviation of each parameter as obtained from the Monte Carlo simulations.}
\end{table}