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Table 3

Joint astrometric-spectroscopic model parameters.

Property Unit Description Prior
Spectroscopic parameters

P d Orbital period
K1 m s−1 Radial velocity semi-amplitude
Paramaterized variable of eccentricity and argument of periastron (a)
Paramaterized variable of eccentricity and argument of periastron (a)
τ Mean anomaly at reference epoch (51000 MJD) in fractions of P
γ1991.25 m s−1 Radial velocity of π Mensae system barycenter at 1991.25 (48348.25 MJD)
ΔvH2 m s−1 Radial velocity offset for post-upgrade HARPS
ΔvU m s−1 Radial velocity offset for UCLES
ɛH1 m s−1 Error inflation for HARPS1 (b)
ɛH2 m s−1 Error inflation for HARPS2 (b)
ɛU m s−1 Error inflation for UCLES (b)
ɛHIP mas Error inflation for HIPPARCOS abscissa measurements (b)

Astrometric parameters

cos i Cosine of the orbital inclination
Ω deg Position angle of the ascending node
M1 M Mass of primary star
Δα mas R.A. offset between HIPPARCOS measurement and barycenter at 1991.25
Δδ mas Dec. offset – –” – –
Δϖ mas Parallax offset – –” – –
mas yr−1 RA proper motion offset – –” – –
Δμδ mas yr−1 Dec proper motion offset – –” – –

Notes. (a) A penalty term is added to the likelihood to further constrain the possible values of these error inflation terms. (b) An additional criterion of 0 ≤ e < 1 was applied.

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