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Table 4

Parameter posteriors mean and uncertainties.

Orbital parameters HD 191806 HD 214823
Orbital period, P• [day] 1606.3 ± 7.2 1877 ± 15
Orbital period, P [year] 4.398 ± 0.020 5.138 ± 0.042
RV amplitude, K• [m s-1] 140.5 ± 2.1 281.4 ± 3.7
Eccentricity, e• 0.259 ± 0.017 0.154 ± 0.014
Argument of periastron, ω• [deg] 4.0 ± 4.2 125.9 ± 6.7
Time of periastron passage, Tp [BJD – 2 455 000] 14 ± 18 652 ± 34
Time of inferior conjunction, Tc [BJD – 2 455 000] 269 ± 13 513.6 ± 9.1
e1 / 2cos(ω) 0.506 ± 0.018 −0.228 ± 0.035
e1 / 2sin(ω) 0.035 ± 0.037 0.315 ± 0.034
Mean longitude at epoch, L0• [deg] 36.5 ± 1.8 144.1 ± 1.2
Epoch [BJD – 2 455 000] 158.6766 747.1753
Systemic velocity, γ(SOPHIE)• [km s-1] −15.3597 ± 0.0030 −44.5038 ± 0.0060
RV offset, • [m s-1] 100 ± 11 24 ± 19
RV offset, • [m s-1] −8.4 ± 7.6 −4.8 ± 6.2
Linear drift• [m s-1/yr] 11.4 ± 1.7 –
Semi-major axis of relative orbit, a [AU] 2.80 ± 0.10 3.18 ± 0.12
Minimum mass, Msini [MJup] 8.52 ± 0.63 19.2 ± 1.4
Noise model‡
SOPHIE+ noise at activity minimum, • [m s-1] 3.0 ± 2.2 [7.6] 4.6 ± 3.6 [12.3]
SOPHIE noise at activity minimum, • [m s-1] 11.3 ± 3.1 16.0 ± 5.8
Slope, αJ• [km s-1] 0.69 ± 0.48 [1.60] 1.08 ± 0.86 [3.03]
ELODIE additional noise, • [m s-1] 14 ± 11 [37] 39 ± 25 [96]
ELODIE rms(O − C) [m s-1] 14.7 ± 1.8 21.1 ± 2.6
SOPHIE rms(O − C) [m s-1] 14.62 ± 0.55 17.6 ± 2.8
SOPHIE+ rms(O − C) [m s-1] 6.07 ± 0.84 7.5 ± 2.1
Orbital parameters HD 221585 HD 16175
Orbital period, P• [day] 1173 ± 16 995.4 ± 2.8
Orbital period, P• [year] 3.212 ± 0.044 2.7251 ± 0.0077
RV amplitude, K• [m s-1] 27.9 ± 1.6 103.5 ± 5.0
Eccentricity, e• 0.123 ± 0.069 [0.24] 0.637 ± 0.020
Argument of periastron, ω• [deg] −6.8 ± 28 † 221.5 ± 2.2
Time of periastron passage, Tp [BJD – 2 455 000] 50 ± 93 † 801.4 ± 2.6
Time of inferior conjunction, Tc [BJD – 2 455 000] 328 ± 28 649 ± 14
e1 / 2cos(ω) 0.29 ± 0.12 −0.597 ± 0.025
e1 / 2sin(ω) −0.05 ± 0.14 −0.528 ± 0.021
Mean longitude at epoch, L0• [deg] 338.2 ± 3.1 42.6 ± 1.8
Epoch [BJD – 2 455 000] 1178.7064 1302.4068
Systemic velocity, V0• [km s-1] 6.4332 ± 0.0046 21.8348 ± 0.0023
RV offset, • [m s-1] 91.2 ± 5.5 –
RV offset, • [m s-1] 1.7 ± 4.6 –
RV offset, • [m s-1] – 72.8 ± 8.3
RV offset, • [km s-1] – 21.7935 ± 0.0027
Semi-major axis of relative orbit, a [AU] 2.306 ± 0.081 2.148 ± 0.076
Minimum mass, Msini [MJup] 1.61 ± 0.14 4.77 ± 0.37
Noise model‡
SOPHIE+ noise at activity minimum, • [m s-1] 2.1 ± 1.4 [4.5] 3.4 ± 2.7 [8.6]
SOPHIE noise at activity minimum, • [m s-1] 7.8 ± 5.1 [19.8] –
Slope, αJ• [km s-1] 0.66 ± 0.48 [1.64] 0.89 ± 0.41
ELODIE additional noise, • [m s-1] 7.5 ± 5.6 [19.2] 14 ± 12 [47.6]
LICK additional noise, • [m s-1] – 6.9 ± 1.4
LICK rms(O−C) [m s-1] – 9.07 ± 0.22
ELODIE rms(O−C) [m s-1] 10.6 ± 2.4 2.27 ± 0.04
SOPHIE rms(O−C) [m s-1] 6.7 ± 1.3 –
SOPHIE+ rms(O−C) [m s-1] 4.04 ± 0.40 10.4 ± 1.0

Notes.Quoted uncertainties correspond to the 68.3% equal-tailed confidence interval. Where the 95%-Highest Density Interval (HDI; defined as the interval containing 95% of the posterior mass such that the any point inside the interval has density higher than any point outside of it) includes the inferior prior limit, the upper 95% HDI limit is quoted within square brackets.

(•)

MCMC jump parameter.

(†)

Parameter essentially unconstrained for this nearly-circular orbit.

(‡)

For SOPHIE and SOPHIE+ the additional noise for measurement i is σJi = σJ | min + αJ·(Hαi − min( { Hα })) (see Eq. (3)).

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