\begin{table}%t1 %\centering \par \caption{\label{tab1}Median and 1-$\sigma$ limits of our posterior distributions for the parameters of the three planets orbiting around HD~40307.} \begin{tabular}{lcccccl} \hline\hline Parameter & HD~40307b & HD~40307c & HD~40307d & Units \\ \hline Jump parameters & & & & \\ \hline Transit epoch $ T_0$ - 2~450~000 & $4770.78 \pm 0.11$ & $4957.73 \pm 0.26$ & $4946.02^{\rm +0.50}_{-0.51}$ & HJD \\ \noalign {\smallskip} Orbital period $ P$ & $4.31109^{\rm +0.00051}_{-0.00052}$ & $9.6183 \pm 0.0024$ & $20.4434^{\rm +0.0095}_{-0.0092}$ & days \\ \noalign {\smallskip} $e\cos{\omega}$ & $0.009 \pm 0.060$ & $0.031^{\rm +0.049}_{-0.048}$ & $0.016^{\rm +0.050}_{-0.049}$ & \\ \noalign {\smallskip} $e\sin{\omega}$ & $0.038^{\rm +0.057}_{-0.059}$ & $0.027^{\rm +0.050}_{-0.049}$ & $0.048 \pm 0.042$ & \\ \noalign {\smallskip} RV $K_2$ & $3.22 \pm 0.19$ & $5.09 \pm 0.25$ & $7.05^{\rm +0.34}_{-0.33}$ & \\ Planet/star area ratio $ (R_{\rm p}/R_{\rm s})^2 $ & $0.0022^{\rm +0.0015}_{-0.0011}$ & -- & -- & \\ \noalign {\smallskip} $ b'=a\cos{i}/R_\ast $ & $7.3^{\rm +4.7}_{-4.3}$ & -- & -- & $R_*$ \\ \hline Deduced parameters & & & & \\ \hline \noalign {\smallskip} RV $K$ & $1.99 \pm 0.12$ & $2.40 \pm 0.12$ & $2.59 \pm 0.12$ & \ms \\ \noalign {\smallskip} Orbital semi-major axis $a$ & $ 0.0477^{\rm +0.0012}_{-0.0013}$ &$ 0.0815^{\rm +0.0020}_{-0.0021}$& $ 0.1348^{\rm +0.0033}_{-0.0035}$ &AU \\ \noalign {\smallskip} Orbital eccentricity $e$ & $0.077^{\rm +0.047}_{-0.038}$ & $0.068^{\rm +0.042}_{-0.034}$ & $0.072^{\rm +0.040}_{-0.034}$ & \\ \noalign {\smallskip} Argument of periastron $\omega $ & $78^{\rm +82}_{-73}$ & $37^{\rm +60}_{-74}$ & $72^{\rm +57}_{-50}$ & deg \\ \noalign {\smallskip} $M_{\rm p} \sin{i} $ & $4.27^{\rm +0.35}_{-0.33}$ & $6.80^{\rm +049}_{-0.52}$ & $9.28^{\rm +0.69}_{-0.63}$ & $M_\oplus$ \\ \noalign {\smallskip} Orbital inclination $i$ & $61^{\rm +17}_{-24}$ & -- & -- & deg \\ \noalign {\smallskip} \hline \end{tabular} \tablefoot{Jump parameters are the model parameters that are randomly perturbed at each step of the MCMC.} \end{table}