\begin{table}%t2
\caption{\label{Tab_Cepheids_Results}Optimized parameters obtained for each sample Cepheid
through the confrontation of HARPS observations with our geometric
model.} 
\small%\centerline
{
\begin{tabular}{l|ccccccccc}
\hline \hline
stars  &     R TrA     &          S Cru       &        Y Sgr   & $\beta$ Dor       &         $\zeta$ Gem  &   Y Oph        &       RZ Vel        &      l Car        &       RS~Pup                          \\
\hline
Period &   3.38925         &   4.68976         &   5.77338         &   9.84262         &   10.14960            &   17.12520            &   20.40020            &   35.551341 & 41.51500 \\
{\it mean} $T_{\rm eff}$$^{{a}}$[K] & 6354 & 5995 & 5350 & 5490 & 5727 & 5907 & 5537 & 5091 & 5143 \\
{\it mean}  $\log(g)$$^{{a}}$   & 2.0  & 1.9  & 1.0  & 1.8  & 1.5  & 1.5  & 1.5  & 1.5  & 0.4  \\
$u_{{V}}^{{b}}$ &  0.6371        &       0.6541      &       0.7194        &     0.6999              &  0.6721                 &      0.6514             &  0.6970      &  0.7541      &  0.7121   \\
$ v_{\rm {\gamma}}$$^{{c}}$ [km~s$^{-1}$]   &  $-13.2$  &  $-7.1$  & $-2.5$ &  $7.4$  & $6.9$    & $-6.6$   & $24.1$  &  $3.6$ & $22.1$ \\
\hline
$ \sigma_{\rm C}^d$ [\AA]  &     0.29          &   0.27            &        0.27       &       0.23        &     0.23              &  0.20                 &      0.23             &   0.25     & 0.30 \\
$V_{\rm rot} \sin i^e$ [km~s$^{-1}$] & 15 &  10 &   16 &   6 &    6 &   4 & 3 & 7 & $<$$1$ \\
$p_{\rm m}=\frac{V_{\rm puls}}{RV_{\rm m}}$  & 1.13  &   1.23 &   1.10  &   1.23 & 1.23 & 1.23  &   1.26 &   1.23 &   1.31 \\
$p_{\rm g}=\frac{V_{\rm puls}}{RV_{\rm g}}$  & 1.28  &  1.31  &  1.26 &   1.32 & 1.32 & 1.33  &   1.34 &    1.31 &   1.36 \\
$p_{\rm c}=\frac{V_{\rm puls}}{RV_{\rm c}}$  & 1.40   & 1.40  & 1.39 & 1.39 & 1.40  &  1.40  &  1.39  &  1.38  &  1.39 \\
\hline
$\gamma_{\rm O}^e$  [$\%$]  & $3.3$ &  $0.7$ &   $ 2.0$ &   $0.2$  &    $-2.4$  &   --  & $-3.2$ &  $ -6.9 $ &  $-6.5 $ \\[0.5mm]
$\gamma_{\rm C}^g$ [$\%$] & 3.1       & 4.3  &    0.4  &     2.9 &    0.5 & -- &    1.4 &    1.2 &    0.6 \\[0.5mm]
$\gamma_{\rm O{-}C}^h$ [$\%$] & 0.2    & $-3.6$   & 1.6   & $-2.7$  & $-2.9$ & -- &  $-4.6$ & $-8.2$ & $-7.1$ \\
\hline 
\end{tabular}}
\smallskip
 $^{{a}}$  $T_{\rm eff}$[K] and $\log~(g)$, deduced from
Gieren et~al. (\cite{gieren98}) for R~TrA, S~Scu, Y~Oph and RZ~Vel.
For Y~Sgr, $\beta$~Dor, $\zeta$~Gem, $\ell$~Car, and RS~Pup these
quantities have taken from Cayrel de Strobel et~al.
(\cite{Cayrel97}, \cite{Cayrel01}).\\
 $^{{b}}$  ${u_{V}}$ from Claret et~al.
(\cite{claret00}).\\
 $^{{c}}$ ${v_{\gamma}}$ from Galactic Cepheid
database (online:
{\tt http://www.astro.utoronto.ca/DDO/research/cepheids}).\\
$^{{d}}$ Uncertainty on $ \sigma_{\rm C}$ is of
about $0.02$~\AA.\\
 $^{{e}}$  Uncertainty on $V_{\rm rot} \sin i$ is of
about $1$~km~s$^{-1}$.\\
 $^{ {f}}$  $\gamma_{\rm O}$ [$\%$] is the averaged value of the
observational asymmetry curves. The associated statistical
uncertainties are of the order of $0.3$\%.\\
$^{{g}}$ $\gamma_{\rm C}$ [$\%$] is the averaged value of the
computed asymmetry curves.\\
 $^{{h}}$ $\gamma_{\rm O{-}C}$ [$\%$] is the average value of the O$-$C asymmetry curve.
\end{table}