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Table A.1

Parameter prior distributions.

Orbital parameters Prior distribution
HD 16175 HD 191806 HD 214823 HD 221585

Orbital period, P [days] ← − J(1,104) − →
RV amplitude, K [m s-1] U(0,200) U(0,200) U(0,400) U(0,200)
Eccentricity, e ← − B(0.867,3.03) − →
Argument of periastron, ω [deg] ← − U(0,360) − →
Mean longitude at epoch, L0 [deg] ← − U(0,360) − →
Systemic velocity, V0 [km s-1] U(21.75,21.94) U( − 18.65, − 12.08) U( − 44.56, − 44.47) U(6.41,6.46)
Linear drift [m s-1/yr] U( − 1,1)
Noise model

ELODIE additional noise [m s-1] ← − U(0,150) − →
SOPHIE noise at activity minimum [m s-1] U(0,50) U(0,50) U(0,50)
SOPHIE+ noise at activity minimum [m s-1] ← − U(0,50) − →
LICK additional noise [m s-1] U(0,50)
SOPHIE/SOPHIE+ slope, αJ [km s-1] ← − U(0,10) − →
Instrument offsets

ELODIE/SOPHIE offset [m s-1] N(166,40) N(57.22,23) N(112.5,23)
SOPHIE+/SOPHIE offset [m s-1] N(0,10) N(0,10) N(0,10)
ELODIE/SOPHIE+ offset [m s-1] N(69.98,33)
LICK/SOPHIE+ offset [km s-1] U(21.6,22.0)

Notes.Arrows indicate that the same prior applies to all stars. U(xmin;xmax): uniform distribution between xmin and xmax. J(xmin;xmax): Jeffreys (log-flat) distribution between xmin and xmax. N(μ;σ): normal distribution with mean μ and standard deviation σ. B(a,b): beta distribution.

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