\begin{table}%t1
\caption { Linear relations between the $\gamma$-velocities and the
$\gamma$-asymmetries $ V_{\gamma} = a_{{\rm 0}} A_{\gamma} +
b_{{\rm 0}}$ for all stars. The last column corresponds to the
final physically calibrated $\gamma$-velocities for each star (see
Sect.~\ref{ss_methodology} for details). The subscripts give the
$1\sigma$ uncertainty. \label{Tab_results}}
%\begin{center}
 {\begin{tabular}{lccccccc}
\hline \hline \noalign{\smallskip}
Name     &  HD     &  $P^{a}$   &   $a_{{\rm 0}}$ &       $\chi_{{\rm red}}^2$        & $V_{\gamma {\rm GCD}}$ & Correction $b_{{\rm 0}}$ & $V_{\gamma \star}$ \\
         &         &  [days]            &           [\kms /\%]                      &                                      &      [\kms]                   &                              [\kms] &      [\kms]             \\
\hline
R TrA       & 135592  &   $3.38925$     &   $   -0.13   _{\pm   0.05    }$  &   3   &   $-13.2$   &   $   1.9 _{\pm   0.3 }$  &   $   -11.3   _{\pm   0.3 }$  \\
S Cru       & 112044  &   $4.68976$     &   $   -0.16   _{\pm   0.07    }$  &   2   &   $-7.1$    &   $   3.6 _{\pm   0.4 }$  &   $   -3.5   _{\pm   0.4 }$  \\
Y Sgr       & 168608  &   $5.77338$     &   $   -0.19   _{\pm   0.04    }$  &   14  &   $-2.5$    &   $   1.0 _{\pm   0.2 }$  &   $   -1.5    _{\pm   0.2 }$  \\
$\beta$ Dor & 37350   &   $9.84262$     &   $   -0.16   _{\pm   0.02    }$  &   30  &   $7.4$     &   $   2.4 _{\pm   0.1 }$  &   $   9.8 _{\pm   0.1 }$  \\
$\zeta$ Gem & 52973   &   $10.14960$    &   $   -0.11   _{\pm   0.02    }$  &   22  &   $6.9$     &   $   0.2 _{\pm   0.1 }$  &   $   7.1 _{\pm   0.1 }$  \\
RZ Vel      & 73502   &   $20.40020$    &   $   -0.14   _{\pm   0.09    }$  &   1   &   $24.1$    &   $   0.5 _{\pm   0.4 }$  &   $   24.6    _{\pm   0.4 }$  \\
$\ell$~Car  & 84810   &   $35.55134$    &   $   -0.15   _{\pm   0.03    }$  &   15  &   $3.6$     &   $   0.8 _{\pm   0.1 }$  &   $   4.4 _{\pm   0.1 }$  \\
RS Pup      & 68860   &   $41.51500$    &   $   -0.13   _{\pm   0.05    }$  &   4   &   $22.1$    &   $   3.6 _{\pm   0.2 }$  &   $   25.7    _{\pm   0.2 }$  \\
\hline \noalign{\smallskip}
\end{tabular}}
\parbox{12cm}{
$^{a}$  The corresponding Julian dates ($T_{{\rm o}}$) can be found in Paper~II.}
%\end{center}
\par
\end{table}