\begin{table}%t1
\caption{\label{Tab1}The Cepheids studied listed with increasing
period.}
%\centerline
{\small
\begin{tabular}{lccc}
\hline \hline \noalign{\smallskip}
Cepheid        &    $P^{(a)}$   &     $D_{{\rm  4896}}$     &   $\Delta RV_{{\rm c}} [{\rm 4896}]$   \\
            &    [days]                     &          [{\%}]                &           [\kms ]             \\
\hline
R TrA       &    $3.38925$                &         6      &   $  28.6   _{\pm   0.5    }$   \\
S Cru       &    $4.68976$                &         6      &   $  33.5   _{\pm   0.5    }$   \\
Y Sgr       &    $5.77338$                &         5      &   $  34.3   _{\pm   0.5    }$   \\
$\beta$ Dor &    $9.84262$                &        10      &   $  31.7   _{\pm   0.5    }$   \\
$\zeta$ Gem &    $10.14960$               &        14      &   $  25.5   _{\pm   0.5    }$   \\
RZ Vel      &   $20.40020$               &         4      &   $  47.6   _{\pm   0.5    }$   \\
$\ell$~Car  &    $35.55134$               &        13      &   $  32.8   _{\pm   0.5    }$   \\
RS Pup      &    $41.51500$               &         4      &   $  42.4   _{\pm   0.5    }$   \\
\hline 
\end{tabular}}
\par
$^{a}$ The corresponding Julian dates ($T_{{\rm o}}$) can be found in Paper~II.
\end{table}