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Table A.4.

Inferred system parameters.

Parameter Units Prior Median and 68.3% CI Prior Median and 68.3% CI Adopted
juliet juliet starry starry value
Star (TOI-3884)
Mean density, ρ [g cm−3] N(14.1, 1.4) 14.3 ± 1.1 N(14.1, 1.4) juliet
Inclination of the spin axis, i [°] U(0, 90) 47.0 ± 8.5
Sky-projected spin-orbit angle, λ [°] U(90, 270) 151 ± 11
Polar spot size, α [°] U(0, 90) 48.6 ± 4.7
Polar spot contrast g’ U(0, 0.9) 0.664 ± 0.097
Polar spot contrast TESS U(0, 0.9)
Polar spot contrast ExTrA U(0, 0.9) 0.159 ± 0.025
q1 g’ U(0, 1) U(0, 1) 0.51 ± 0.25 starry
q2 g’ U(0, 1) U(0, 1) starry
q1 TESS U(0, 1) U(0, 1) 0.224 ± 0.13 starry
q2 TESS U(0, 1) U(0, 1) starry
q1 ExTrA U(0, 1) U(0, 1) starry
q2 ExTrA U(0, 1) 0.54 ± 0.31 U(0, 1) 0.61 ± 0.25 starry
Systemic velocity, γ [km s−1] U(8.31, 8.37) 8.3444 ± 0.0015
Planet (TOI-3884 b)
Semi-major axis, a [au] 0.0354 ± 0.0014
Eccentricity, e < 0.32, () U(0.0, 0.9) < 0.19, () juliet
Argument of pericentre, ω [°] 190 ± 150 U(0, 360) juliet
Inclination, ip [°] U(88, 92) 90.10 ± 0.29 starry
Radius ratio, Rp/R U(0.1, 0.3) 0.1899 ± 0.0064 U(0.1, 0.3) 0.1808 ± 0.0014 starry
Scaled semi-major axis, a/R 25.01 ± 0.65
Impact parameter, b U(0, 1) 0.072 ± 0.072 −0.04 ± 0.13 starry
Transit duration, T14 [h] 1.646 ± 0.011
T0-2450000 [BJDTDB] U(9642.8624, 9642.8638) 9642.86314 ± 0.00012
Orbital period, P [d] U(4.54447, 4.54468) 4.5445697 ± 0.0000094
RV semi-amplitude, K [m s−1] U(0, 100)
Radius, Rp [] 6.31 ± 0.28 6.00 ± 0.18 starry
Mass, Mp [ME]
Mean density, ρp [g cm−3] starry
Surface gravity, log gp [cgs] 2.612 ± 0.090 starry
Equilibrium temperature, Teq [K] 463 ± 12
Insolation flux [FE] 7.42 ± 0.77
True spin-orbit angle, ψ [°] 50 ± 12 or 130 ± 12
U(−1, 1) −0.02 ± 0.33 juliet
U(−1, 1) −0.02 ± 0.12 0.057 ± 0.090 juliet
Dilution g’ U(0, 1)
Dilution TESS sector 22 U(0, 1) 0.683 ± 0.071
Dilution TESS sector 46 U(0, 1) 0.893 ± 0.060
Dilution TESS sector 49 U(0, 1) 0.880 ± 0.058
Dilution ExTrA U(0, 1) 0.928 ± 0.057

Notes. The table lists: prior, posterior median, and 68.3% CI, for the analysis of transit photometry and RVs ( juliet, in which the asymmetry of the transit is modelled using GPs, and the chromaticity with dilution factors), and the analysis of transit photometry including a starspot in the model ( starry). If a parameter is estimated from both modellings, the last column specifies the adopted value. There is a degeneracy with (i + 180°) and (180° −λ) angles assuming ip between 0° and 180°. Upper limit, 95% confidence. The parameters q1 and q2 are the quadratic limb-darkening coefficients parameterised using Kipping (2013). The planetary equilibrium temperature is computed for zero albedo and full day-night heat redistribution. The true spin-orbit angle is given for the prograde and retrograde configurations, which cannot be distinguished with the available data. IAU 2012: au = 149 597 870 700 m . IAU 2015: = 6.957  × 108 m, = 6.378 1  × 106 m, = 1.327 124 4  × 1020 m3 s−2, = 3.986 004  × 1014 m3 s−2. M = /𝒢, ME = /𝒢. CODATA 2018: 𝒢 = 6.674 30  × 10−11 m3 kg−1 s−2. N(μ, σ): Normal distribution with mean μ, and standard deviation σ. U(a, b): A uniform distribution defined between a lower a and an upper b limit.

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