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Table 1

Priors and resulting posteriors from the ironman joint fit of available TESS photometry, NEID RM effect RVs, and out-of-transit RVs from SOPHIE.

Parameter Description Prior Posterior
λ Sky-projected stellar obliquity (°) 𝒰(−180, 180) 721+20Mathematical equation: $7_{ - 21}^{ + 20}$
ψ 3D stellar obliquity (°) 2412+14Mathematical equation: $24_{ - 12}^{ + 14}$
R Stellar radius (R) 𝒩(0.711, 0.020) 0.715 ± 0.015
M Stellar mass (M) 𝒩(0.74, 0.06) 0.7460.044+0.048Mathematical equation: $0.746_{ - 0.044}^{ + 0.048}$
Prot,⋆ Stellar rotational period (days) 𝒩(28.0, 2.8) 26.7 ± 2.8
cos i Cosine of stellar inclination 𝒰(−1, 1) 0.040.32+0.34Mathematical equation: $0.04_{ - 0.32}^{ + 0.34}$
veq,⋆ Stellar equatorial velocity (km s−1) 1.370.13+0.17Mathematical equation: $1.37_{ - 0.13}^{ + 0.17}$
v sin i Projected rotational velocity (km s−1) 1.280.14+0.17Mathematical equation: $1.28_{ - 0.14}^{ + 0.17}$
ρ Stellar density (g cm−3) 2.890.04+0.03Mathematical equation: $2.89_{ - 0.04}^{ + 0.03}$
i Stellar inclination (°) 9220+19Mathematical equation: $92_{ - 20}^{ + 19}$
Rp Planet Radius (R) 11.6 ± 0.2
a Semimajor axis (au) 0.0408 ± 0.0009
Mp Planet mass (M) 141 ± 13
ρp Planet density (g cm−3) 0.49 ± 0.04
P Orbital Period (days) 𝒩(3.477978, 0.000002) 3.4779792 ± 0.0000001
t0 Transit midpoint (BJD) 𝒩(2458686.7005, 0.0001) 2458686.70048 ± 0.00004
b Impact parameter 𝒰(0, 1) 0.100.07+0.05Mathematical equation: $0.10_{ - 0.07}^{ + 0.05}$
Rp/R Radius ratio 𝒰(0, 1) 0.145 ± 0.004
e Orbital eccentricity Fixed 0
K RV semiamplitude (m s−1) 𝒰(0, 1000) 72 ± 6
a/R Scaled semimajor axis 12.270.06+0.05Mathematical equation: $12.27_{ - 0.06}^{ + 0.05}$
i Orbital inclination (°) 89.50.2+0.3Mathematical equation: $89.5_{ - 0.2}^{ + 0.3}$
q1TESSMathematical equation: $q_1^{{\rm{TESS}}}$ TESS linear limb-darkening parameter 𝒰(0, 1) 0.410.04+0.03Mathematical equation: $0.41_{ - 0.04}^{ + 0.03}$
q2TESSMathematical equation: $q_2^{{\rm{TESS}}}$ TESS quadratic limb-darkening parameter 𝒰(0, 1) 0.360.03+0.03Mathematical equation: $0.36_{ - 0.03}^{ + 0.03}$
σTESS TESS photometric jitter (ppm) ℒ𝒰(1, 5 × 107) 5.03.3+9.2Mathematical equation: $5.0_{ - 3.3}^{ + 9.2}$
γSOPHIE SOPHIE RV offset (m s−1) 𝒰(−41 000, −40 500) −40 820 ± 4
σSOPHIE SOPHIE RV jitter (m s−1) ℒ𝒰(10−3,100) 0.50.5+12.4Mathematical equation: $0.5_{ - 0.5}^{ + 12.4}$
q1NEIDMathematical equation: $q_1^{{\rm{NEID}}}$ NEID linear limb-darkening parameter 𝒰(0, 1) 0.780.27+0.16Mathematical equation: $0.78_{ - 0.27}^{ + 0.16}$
q2NEIDMathematical equation: $q_2^{{\rm{NEID}}}$ NEID quadratic limb-darkening parameter 𝒰(0, 1) 0.660.35+0.24Mathematical equation: $0.66_{ - 0.35}^{ + 0.24}$
βNEID Intrinsic stellar line width (km s−1) 𝒯𝒩(3.5, 2.0, 0.0, 10.0) 0.610.37+0.90Mathematical equation: $0.61_{ - 0.37}^{ + 0.90}$
γNEID NEID RV offset (m s−1) 𝒰(−50, 50) −2.5 ± 1.6
σNEID NEID RV jitter (m s−1) ℒ𝒰(10−3, 100) 0.080.08+2.0Mathematical equation: $0.08_{ - 0.08}^{ + 2.0}$
γ˙NEIIMathematical equation: ${{\dot \gamma }_{{\rm{NEII}}}}$ NEID RV slope (m s−1 day−1) 𝒰(−200, 200) 81 ± 31

Notes. (a, b) denotes a uniform distribution between a and b. 𝒩(µ, σ) denotes a Gaussian distribution with mean µ and standard deviation σ. 𝒯𝒩(µ, σ, a, b) denotes a truncated Gaussian distribution with mean µ and standard deviation σ, constrained between limits a and b. ℒ𝒰(a, b) denotes a log-uniform prior between a and b. The nested sampling jump parameters are the parameters shown with associated priors, and the remaining parameters are derived from those posteriors.

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