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Table 9

Parameter posteriors for the HD 40307 system.

Orbital parameters Planet b Planet c

Orbital period, P [days] 4.31150 ± 0.00027 9.62070 ± 0.0012
RV amplitude, K [m s-1] 1.79 ± 0.13 2.31 ± 0.13
Eccentricity, e <0.161; <0.168 <0.098; <0.103
Mean longitude at epoch, L0 [deg] 163.5 ± 4.0 321.5 ± 3.2
Semi-major axis of relative orbit, a [AU] 0.0475 ± 0.0011 0.0812 ± 0.0018
Minimum mass, Msini [M] 3.81 ± 0.30 6.43 ± 0.44
Orbital parameters Planet d Planet f

Orbital period, P [days] 20.4185 ± 0.0052 51.56 ± 0.14
RV amplitude, K [m s-1] 2.44 ± 0.13 0.75 ± 0.13
Eccentricity, e <0.117; <0.122 <0.335; <0.352
Mean longitude at epoch, L0 [deg] 185.4 ± 3.1 142 ± 11
Semi-major axis of relative orbit, a [AU] 0.1340 ± 0.0029 0.2485 ± 0.0054
Minimum mass, Msini [M] 8.74 ± 0.58 3.63 ± 0.60
Velocity drift

Systemic velocity, V0 [km s-1] 31.334376 ± 9.9 × 10-5
Scaling constant, α [m s-1/dex] 22.1 ± 2.1
Linear [dex yr-1] 0.03761 ± 8.9 × 10-4
Quadratic [dex yr-2] 0.00488 ± 4.2 × 10-4
Cubic [dex yr-3] − 0.001617 ± 8.5 × 10-4
Noise model

Additional noise at =-5, σJ | -5.0 [cm s-1] 81.8 ± 8.5
Slope, αJ [ m s-1/dex] 8.1 ± 1.6
rms(O−C) [m s-1] 1.733 ± 0.022

Notes. The epoch is BJD = 2 454 521.6791. The argument of periastron ω is unconstrained for these nearly-circular orbits.

(•)

MCMC jump parameter.

(†)

Eccentricity does not differ significantly from zero; the 95% and 99% upper limits are reported.

(⋆)

See Sect. 4.3.

(‡)

The additional (stellar) noise for measurement i is .

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