\begin{table}%t1
%\centering
\par
\caption{\label{spec} Stellar characteristics and spectroscopic orbital
elements for the outer companions
in the HD~38529 and HD~168443 systems, quoted from the original discovery
papers (Fischer et~al.\  \cite{fischer2003};  and Marcy et~al.\  \cite{marcy2001},
respectively). These elements are adopted without modifications for the
astrometric solutions.}
\begin{tabular}{lrr}
\hline\hline\noalign{\smallskip}
                                  & HD~38529           & HD~168443  \\\hline
 \noalign{\smallskip}
spectral type                            & G4~IV             & G6~IV     \\
mass $m_1$ [$M_{\odot}$]                 & 1.39               & 1.01       \\
\hline\noalign{\smallskip}
                                         & HD~38529c          & HD~168443c \\\hline
 \noalign{\smallskip}
Period $P$ [days]                        & 2174.3             & 1770       \\
                                         & $\pm$30.0          & $\pm$25    \\[0.8ex]
Periastron time $T_0$ [JD]               & 2~450~073.8      & 2~450~250.6\\
                                         & $\pm$35.0          & $\pm$18    \\[0.8ex]
Eccentricity $e$                         & 0.36               & 0.20       \\
                                         & $\pm$0.05          & $\pm$0.01  \\[0.8ex]
Longitude of periastron $\omega$ [\degr] & 14.7               & 62.9       \\
                                         & $\pm$10.0          & $\pm$3.2   \\[0.8ex]
mass function $f(m)$ [$M_{\odot}$]       & $9.1\times  10^{-7}$ & $4.2\times  10^{-6}$ \\
\hline\noalign{\smallskip}
$m_2\!\cdot\sin~i$\ [$M_{\rm{Jup}}$] & 12.79 & 17.15      \\
Semi-major axis [AU]                     & 3.68               & 2.87       \\
\hline
\end{tabular}
\end{table}