Table 2: Optimized parameters obtained for each sample Cepheid through the confrontation of HARPS observations with our geometric model.
stars R TrA S Cru Y Sgr $\beta $ Dor $\zeta $ Gem Y Oph RZ Vel l Car RS Pup
Period 3.38925 4.68976 5.77338 9.84262 10.14960 17.12520 20.40020 35.551341 41.51500
mean $T_{\rm eff}$a[K] 6354 5995 5350 5490 5727 5907 5537 5091 5143
mean $\log(g)$a 2.0 1.9 1.0 1.8 1.5 1.5 1.5 1.5 0.4
uVb 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
$ \sigma_{\rm C}^d$ [Å] 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
$\gamma_{\rm O}^e$ [$\%$] 3.3 0.7 2.0 0.2 -2.4 - -3.2 -6.9 -6.5
$\gamma_{\rm C}^g$ [$\%$] 3.1 4.3 0.4 2.9 0.5 - 1.4 1.2 0.6
$\gamma_{\rm O{-}C}^h$ [$\%$] 0.2 -3.6 1.6 -2.7 -2.9 - -4.6 -8.2 -7.1
a $T_{\rm eff}$[K] and $\log~(g)$, deduced from Gieren et al. (1998) 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. (1997, 2001).
b uV from Claret et al. (2000).
c ${v_{\gamma}}$ from Galactic Cepheid database (online: http://www.astro.utoronto.ca/DDO/research/cepheids).
d Uncertainty on $\sigma _{\rm C}$ is of about 0.02 Å.
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.

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