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Table 1:

Median and 1-$\sigma $ limits of our posterior distributions for the parameters of the three planets orbiting around HD 40307.
Parameter HD 40307b HD 40307c HD 40307d Units
Jump parameters        
Transit epoch T0 - 2 450 000 $4770.78 \pm 0.11$ $4957.73 \pm 0.26$ $4946.02^{\rm +0.50}_{-0.51}$ HJD

Orbital period P
$4.31109^{\rm +0.00051}_{-0.00052}$ $9.6183 \pm 0.0024$ $20.4434^{\rm +0.0095}_{-0.0092}$ days

$e\cos{\omega}$
$0.009 \pm 0.060$ $0.031^{\rm +0.049}_{-0.048}$ $0.016^{\rm +0.050}_{-0.049}$  

$e\sin{\omega}$
$0.038^{\rm +0.057}_{-0.059}$ $0.027^{\rm +0.050}_{-0.049}$ $0.048 \pm 0.042$  

RV K2
$3.22 \pm 0.19$ $5.09 \pm 0.25$ $7.05^{\rm +0.34}_{-0.33}$  
Planet/star area ratio $ (R_{\rm p}/R_{\rm s})^2 $ $0.0022^{\rm +0.0015}_{-0.0011}$ - -  

$ b'=a\cos{i}/R_\ast $
$7.3^{\rm +4.7}_{-4.3}$ - - R*
Deduced parameters        

RV K
$1.99 \pm 0.12$ $2.40 \pm 0.12$ $2.59 \pm 0.12$  m s-1

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

Orbital eccentricity e
$0.077^{\rm +0.047}_{-0.038}$ $0.068^{\rm +0.042}_{-0.034}$ $0.072^{\rm +0.040}_{-0.034}$  

Argument of periastron $\omega $
$78^{\rm +82}_{-73}$ $37^{\rm +60}_{-74}$ $72^{\rm +57}_{-50}$ deg

$M_{\rm p} \sin{i} $
$4.27^{\rm +0.35}_{-0.33}$ $6.80^{\rm +049}_{-0.52}$ $9.28^{\rm +0.69}_{-0.63}$ $M_{\oplus}$

Orbital inclination i
$61^{\rm +17}_{-24}$ - - deg

Notes. Jump parameters are the model parameters that are randomly perturbed at each step of the MCMC.


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