\begin{table}%t5 \caption{\label{tab5}Median and 1-$\sigma$ limits of the posterior distributions obtained for the CoRoT-12 system derived from our three MCMC runs (see Table~\ref{tab4}).} %\centerline {\small \begin{tabular}{cccccccccc} \hline\hline \noalign {\smallskip} Parameter & $MCMC_1$ &&&&&&& $MCMC_2$ & $MCMC_3$ \\ \noalign {\smallskip} \hline \noalign {\smallskip} Jump parameters & & &&&&&&& \\ \noalign {\smallskip} \hline \noalign {\smallskip} Planet/star area ratio $ (R_{\rm p}/R_{\rm s})^2 $ & $0.01744^{\rm +0.00039}_{-0.00040}$&&& &&&&$0.01739^{\rm +0.00044}_{-0.00041}$ &$0.01735^{\rm +0.00044}_{-0.00043}$ \\ \noalign {\smallskip} $b'=a\cos{i}/R_\ast$ [$R_*$] & $ 0.609^{\rm + 0.055}_{- 0.057}$ &&& &&& & $0.614^{\rm + 0.060}_{- 0.056}$ & $0.592^{\rm + 0.040}_{- 0.046}$ \\ \noalign {\smallskip} Transit width $W$ [d] & $0.10726^{\rm +0.00089}_{-0.00090}$ &&& &&& & $0.1071^{\rm +0.0013}_{-0.0011}$ & $0.1071^{\rm +0.0011}_{-0.0013}$ \\ \noalign {\smallskip} $T_0-2450000$ [HJD] & $4398.62707 \pm 0.00036$ &&& &&& & $4398.62704^{\rm +0.00038}_{-0.00036}$ & $4398.6266^{\rm +0.0013}_{-0.0012}$ \\ \noalign {\smallskip} Orbital period $ P$ [d] &$2.828042 \pm 0.000013$ &&& &&& & $2.828043^{\rm +0.000013}_{-0.000014}$ & $2.828061^{\rm +0.000052}_{-0.000047}$ \\ \noalign {\smallskip} RV $K_2$ [m~s$^{-1}$~d$^{1/3}$] & $177^{\rm +12}_{-11}$ &&& &&& & $176 \pm 11$ & $177 \pm 10$ \\ \noalign {\smallskip} $e\cos{\omega}$ & $-0.012^{\rm +0.024}_{-0.028}$&&&&&& & $0.000^{\rm +0.020}_{-0.040}$ & $-0.017^{\rm +0.024}_{-0.026}$ \\ \noalign {\smallskip} $e\sin{\omega}$ & $0.053^{\rm +0.073}_{-0.066}$ &&& &&& & $0.069^{\rm +0.069}_{-0.082}$ & $0.043^{\rm +0.072}_{-0.053}$ \\ \noalign {\smallskip} $c_1$ & $1.152 \pm 0.056$ &&& &&& & $1.153^{\rm +0.054}_{-0.059}$ & $1.146^{\rm +0.058}_{-0.050}$ \\ \noalign {\smallskip} $c_2$ & $0.028 \pm 0.052$ &&& &&& & $0.031^{\rm +0.052}_{-0.051}$ & $0.027^{\rm +0.048}_{-0.049}$ \\ \noalign {\smallskip} $dF_2$ & &&&&&& & $0.00009^{\rm + 0.00022}_{- 0.00009}$ & \\ \noalign {\smallskip} \hline \noalign {\smallskip} Deduced stellar parameters & & &&&&&& & \\ \noalign {\smallskip} \hline \noalign {\smallskip} $u_1$ & $0.466 \pm 0.027$ &&& &&& & $0.468^{\rm + 0.026}_{- 0.029}$ & $0.464^{\rm + 0.028}_{- 0.025}$ \\ \noalign {\smallskip} $u_2$ & $0.219 \pm 0.021$ &&& &&& & $0.217 \pm 0.020$ & $0.219^{\rm +0.020}_{-0.019} $ \\ \noalign {\smallskip} Density $\rho_* $ [$\rho_\odot $] & $0.77^{\rm + 0.20}_{- 0.15}$ &&& &&& & $0.75^{\rm + 0.20}_{- 0.15}$ & $0.81^{\rm + 0.18}_{- 0.12}$ \\ \noalign {\smallskip} Surface gravity $\log g_*$ [cgs] & $4.375^{\rm + 0.065}_{- 0.062}$ &&& &&& & $4.366^{\rm + 0.066}_{- 0.063}$ & $4.388^{\rm + 0.055}_{- 0.046}$ \\ \noalign {\smallskip} Mass $M_\ast $ [$M_\odot$]& $1.078^{\rm +0.077}_{-0.072}$ & &&&&&& $1.083^{\rm +0.075}_{-0.074}$ & $1.076^{\rm +0.077}_{-0.071}$ \\ \noalign {\smallskip} Radius $ R_\ast $ [$R_\odot$] & $1.116^{\rm +0.096}_{-0.092}$ &&& &&& & $1.129^{\rm + 0.097}_{- 0.092} $ & $1.098^{\rm + 0.072}_{- 0.076} $ \\ \noalign {\smallskip} \hline \noalign {\smallskip} Deduced planet parameters & & &&&&&& &\\ \noalign {\smallskip} \hline \noalign {\smallskip} RV $K$ [\ms] & $125.5^{\rm +8.0}_{-7.5}$ &&& &&& & $125.4^{\rm +7.4}_{-7.7} $ & $125.5 \pm 7.1 $ \\ \noalign {\smallskip} $b_{\rm transit}$ [$R_*$] & $0.573^{\rm + 0.027}_{- 0.030}$ &&& &&& & $0.571^{\rm + 0.031}_{- 0.033}$ & $0.564^{\rm + 0.033}_{- 0.038}$ \\ \noalign {\smallskip} $b_{\rm occultation}$ [$R_*$] & $0.64^{\rm + 0.10}_{- 0.09} $ &&& &&& & $0.65^{\rm + 0.11}_{- 0.09} $ & $0.620^{\rm + 0.071}_{- 0.078} $ \\ \noalign {\smallskip} $T_{\rm occultation}-2450000$ [HJD] & $4400.020^{\rm +0.055}_{-0.052}$ &&& &&& & $4400.041^{\rm +0.036}_{-0.073}$ & $4400.010^{\rm +0.043}_{-0.048}$ \\ \noalign {\smallskip} Orbital semi-major axis $ a $ [AU] & $0.04016^{\rm +0.00093}_{-0.00092}$ &&& &&& & $0.04022^{\rm +0.00091}_{-0.00093}$ & $0.04013^{\rm +0.00094}_{-0.00090}$ \\ \noalign {\smallskip} Orbital inclination $i $ [deg] & $85.48^{\rm +0.72}_{-0.77}$ &&& &&& & $85.39^{\rm +0.72 }_{-0.84}$ & $85.67^{\rm +0.59 }_{-0.51}$ \\ \noalign {\smallskip} Orbital eccentricity $ e $ & $0.070^{\rm +0.063}_{-0.042}$ &&& &&&& $0.083^{\rm +0.062}_{-0.047}$ & $0.059^{\rm +0.061}_{-0.031}$ \\ \noalign {\smallskip} Argument of periastron $ \omega $ [deg] & $105^{\rm +90}_{-27}$ &&& &&& & $87^{\rm +33}_{-88}$ & $113^{\rm +92}_{-26}$ \\ \noalign {\smallskip} Equilibrium temperature $T_{\rm eq}$ [K]$ $$^a$ & $1442 \pm 58$ &&& &&& & $1449^{\rm +60}_{-58} $ & $1431 \pm 47$ \\ \noalign {\smallskip} Density $ \rho_{\rm p}$ [$\rho_{\rm Jup}$] & $0.309^{\rm +0.097}_{-0.071}$ &&& &&& & $0.298^{\rm +0.093}_{-0.069}$ & $0.327^{\rm +0.082}_{-0.058}$ \\ \noalign {\smallskip} Surface gravity $\log g_{\rm p}$ [cgs] & $3.043^{\rm +0.082}_{-0.080}$ &&& &&& & $3.031^{\rm +0.083}_{-0.077}$ & $3.060^{\rm +0.065}_{-0.063}$ \\ \noalign {\smallskip} Mass $ M_{\rm p}$ [$M_{\rm Jup}$] & $0.917^{\rm +0.070}_{-0.065}$ &&& &&& & $0.916^{\rm +0.068}_{-0.064}$ & $0.915^{\rm +0.068}_{-0.064}$ \\ \noalign {\smallskip} Radius $ R_{\rm p} $ [$R_{\rm Jup}$] & $1.44 \pm 0.13 $ &&& &&& & $1.45^{\rm + 0.13}_{- 0.12} $ & $1.41^{\rm + 0.10}_{- 0.09} $ \\ \noalign {\smallskip} \hline \end{tabular}} \tablefoot{$MCMC_1$ is our nominal analysis (see text for details). $^a$~Assuming $A=0$ and $F=1$.}\vspace*{-2.5mm} \end{table}