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Table A.4.

π Men system parameters.

Parameter Priora Derived value
Stellar parameters
Star mass M (M) 1.02 ± 0.03
Star radius R (R) 1.10 ± 0.01
Effective Temperature Teff (K) 5870 ± 50
Surface gravityb log g (cgs) 4.36 ± 0.02
Surface gravityc log g (cgs) 4.33 ± 0.09
Iron abundance [Fe/H] (dex) 0.05 ± 0.09
Projected rotational velocity v sin i (km s−1) 3.3 ± 0.5
Age (Gyr) 5.2 ± 1.1

Model parameters of π Men b
Orbital period Porb, b (days) 𝓤[2076.0, 2106.0] 2091.2 ± 2.0
Time of inferior conjunction Tinf, b (BJDTDB−2450000) 𝓤[6528.0, 6568.0] 6548.2 ± 2.7
𝓤[−1, 1] −0.3919 ± 0.0076
𝓤[−1, 1] 0.6970 ± 0.0052
Radial velocity semi-amplitude variation Kb (m s−1) 𝓤[0, 500] 195.8 ± 1.4

Model parameters of π Men c
Orbital period Porb,c (days) 𝓤[6.24, 6.29] 6.26834 ± 0.00024
Transit epoch T0, c (BJDTDB−2450000) 𝓤[8325.47, 8325.52] 8325.503055 ± 0.00077
Scaled semi-major axis ac/R 𝓝[13.11, 0.17] 13.10 ± 0.18
Planet-to-star radius ratio Rc/R 𝓤[0, 0.1] 0.01721 ± 0.00024
Impact parameter bc 𝓤[0, 1] 0.614 ± 0.0180
𝓕[0] 0
𝓕[0] 0
Radial velocity semi-amplitude variation Kc (m s−1) 𝓤[0, 10] 1.55 ± 0.27

Additional model parameters
Parameterized limb-darkening coefficient q1 𝓝[0.36, 0.1] 0.33 ± 0.10
Parameterized limb-darkening coefficient q2 𝓝[0.25, 0.1] 0.23 ± 0.10
Systemic velocity γAAT (km s−1) 𝓤[−0.20, 0.20] 0.0021 ± 0.0011
Systemic velocity γHS1 (km s−1) 𝓤[10.53, 10.88] 10.70916 ± 0.00039
Systemic velocity γHS2 (km s−1) 𝓤[10.55, 10.90] 10.73156 ± 0.00071
RV jitter term σAAT (m s−1) 𝓤[0, 100]
RV jitter term σHS1 (m s−1) 𝓤[0, 100]
RV jitter term σHS2 (m s−1) 𝓤[0, 100]

Derived parameters of π Men b
Planet minimum mass Mb sin ib (MJup) 9.66 ± 0.20
Semi-major axis of the planetary orbit ab (AU) 3.22 ± 0.03
Orbit eccentricity eb 0.6394 ± 0.0025
Argument of periastron of stellar orbit ω⋆, b (deg) 330.65 ± 0.65
Time of periastron passage Tper, b (BJDTDB−2450000) 6306.1 ± 4.6

Derived parameters of π Men c
Planet mass Mc (M) 4.52 ± 0.81
Planet radius Rc (R) 2.06 ± 0.03
Planet mean density ρc (g cm−3) 2.82 ± 0.53
Semi-major axis of the planetary orbit ac (AU) 0.06702 ± 0.00109
Orbit eccentricity ec 0 (fixed)
Orbit inclination ic (deg) 87.31 ± 0.11
Equilibrium temperatured Teq, c (K) 1147 ± 12
Transit duration τ14, c (h)

Notes.

(a)

γ[a, b] refers to uniform priors between a and b, and 𝓕 [a] to a fixed a value.

(b)

From spectroscopy and isochrones.

(c)

From spectroscopy.

(d)

Assuming zero albedo and uniform redistribution of heat.

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