Open Access

Table A.5

Priors adopted for planetary orbit modeling of combined light curves and RV data, along with median values of posterior distributions, using TESS PDCSAP fluxes.

Parameter Prior Median Circular orbit Median Elliptical orbit Description
P. (kg m−3) 𝒩 (8032.0, 3010.2) 7931.91572.9+845.5$7931.9_{ - 1572.9}^{ + 845.5}$ 7981.81155.7+999.4$7981.8_{ - 1155.7}^{ + 999.4}$ Stellar density

TESS
D 1 (fixed) 1 1 Photometric dilution factor
q1 𝒩 (0.238, 0.053) 0.2160.042+0.045$0.216_{ - 0.042}^{ + 0.045}$ 0.2330.037+0.041$0.233_{ - 0.037}^{ + 0.041}$ Parametrization of quadratic limb darkening effect
q2 𝒩 (0.159, 0.044) 0.1580.041+0.039$0.158_{ - 0.041}^{ + 0.039}$ 0.1360.036+0.031$0.136_{ - 0.036}^{ + 0.031}$ Parametrization of quadratic limb darkening effect
Jitter (ppm) ℒ𝒰 (1, 10+3) 22.019.2+241.3$22.0_{ - 19.2}^{ + 241.3}$ 28.324.7+282.5$28.3_{ - 24.7}^{ + 282.5}$ Light curve jitter
σGP (ppm) ℒ𝒰 (10−6, 10+3) 228.316.8+18.9$228.3_{ - 16.8}^{ + 18.9}$ 229.317.6+18.7$229.3_{ - 17.6}^{ + 18.7}$ Hyperparameter of the Matern kernel
ρGP (d−1) ℒ𝒰 (10−6, 10+3) 0.360.05+0.07$0.36_{ - 0.05}^{ + 0.07}$ 0.340.05+0.05$0.34_{ - 0.05}^{ + 0.05}$ Hyperparameter of the Matern kernel

CHEOPS
D 1 (fixed) 1 1 Photometric dilution factor
q1 𝒩 (0.402, 0.074) 0.4280.067+0.066$0.428_{ - 0.067}^{ + 0.066}$ 0.4320.056+0.056$0.432_{ - 0.056}^{ + 0.056}$ Parametrization of quadratic limb darkening effect
q2 𝒩 (0.186, 0.039) 0.2200.025+0.028$0.220_{ - 0.025}^{ + 0.028}$ 0.1930.033+0.035$0.193_{ - 0.033}^{ + 0.035}$ Parametrization of quadratic limb darkening effect
Jitter (ppm) ℒ𝒰 (1, 10+3) 64.158.8357.3$64.1_{ - 58.8}^{357.3}$ 23.920.8+163.9$23.9_{ - 20.8}^{ + 163.9}$ Light curve jitter

ESPRESSO18
μ (ms−1) 𝒩 (0.21, 1.71) 0.181.06+1.08$0.18_{ - 1.06}^{ + 1.08}$ 0.581.25+1.26$0.58_{ - 1.25}^{ + 1.26}$ Mean RV value
RVjitter (ms−1) ℒ𝒰 (10−10, 1.0) 0.0000.000+0.003$0.000_{ - 0.000}^{ + 0.003}$ 0.0000.000+0.011$0.000_{ - 0.000}^{ + 0.011}$ RV jitter

ESPRESSO19
μ (m s−1 ) 𝒩 (−0.14, 2.43) 0.810.80+0.64$0.81_{ - 0.80}^{ + 0.64}$ 0.780.72+0.76$0.78_{ - 0.72}^{ + 0.76}$ Mean RV value
RVjitter (ms−1) ℒ𝒰 (10−10, 1.0) 0.0010.001+0.129$0.001_{ - 0.001}^{ + 0.129}$ 0.0040.004+0.631$0.004_{ - 0.004}^{ + 0.631}$ RV jitter

ESPRESSO21
μ (m s−1) 𝒩 (2.97, 2.40) 3.040.58+0.53$3.04_{ - 0.58}^{ + 0.53}$ 3.050.52+0.45$3.05_{ - 0.52}^{ + 0.45}$ Mean RV value
RVjitter (ms−1) ℒ𝒰 (10−10, 1.0) 0.0000.000+0.049$0.000_{ - 0.000}^{ + 0.049}$ 0.0000.000+0.019$0.000_{ - 0.000}^{ + 0.019}$ RV jitter

RV rotation GP kernel
σGP (ms−1) 𝒰 (0, 5000) 2.490.30+0.44$2.49_{ - 0.30}^{ + 0.44}$ 4.180.70+0.68$4.18_{ - 0.70}^{ + 0.68}$ Dispersion of the GP regressor
Q0 𝒩 (0.0, 5000) 1.10.7+0.7$1.1_{ - 0.7}^{ + 0.7}$ 0.20.2+0.4$0.2_{ - 0.2}^{ + 0.4}$ Quality of half rotation
f 𝒩 (0.5, 0.3) 0.710.19+0.24$0.71_{ - 0.19}^{ + 0.24}$ 0.790.18+0.21$0.79_{ - 0.18}^{ + 0.21}$ Fractional amplitude
dQ 𝒩 (0.0, 100) 0.950.70+0.7$ - 0.95_{ - 0.70}^{ + 0.7}$ 78.247.9+61.6$78.2_{ - 47.9}^{ + 61.6}$ Quality difference
Prot (d) 𝒩 (48.5, 1) 48.51.0+0.9$48.5_{ - 1.0}^{ + 0.9}$ 48.20.8+0.7$48.2_{ - 0.8}^{ + 0.7}$ Characteristic stellar cycle

Planetary fitted parameters
P(d) 𝒩 (10.21543, 0.001) 10.2152020.000075+0.000078$10.215202_{ - 0.000075}^{ + 0.000078}$ 10.2152030.000008+0.000010$10.215203_{ - 0.000008}^{ + 0.000010}$ Orbital period
T0 𝒩 (2458356.3709, 0.01) 2458356.372400.00100+0.00089$2458356.37240_{ - 0.00100}^{ + 0.00089}$ 2458356.372110.00117+0.00104$2458356.37211_{ - 0.00117}^{ + 0.00104}$ Mid-transit time
b 𝒰 (0, 1) 0.250.16+0.18$0.25_{ - 0.16}^{ + 0.18}$ 0.290.18+0.14$0.29_{ - 0.18}^{ + 0.14}$ Impact parameter
Rp/R* 𝒰 (0, 0.1) 0.029570.00084+0.00084$0.02957_{ - 0.00084}^{ + 0.00084}$ 0.029010.00093+0.00083$0.02901_{ - 0.00093}^{ + 0.00083}$ Scaled planetary radius
K (m s−1) 𝒰 (0, 20) 1.6020.225+0.261$1.602_{ - 0.225}^{ + 0.261}$ 1.6380.222+0.203$1.638_{ - 0.222}^{ + 0.203}$ Keplerian amplitude of the RV curve
a/R. 35.242.50+1.21$35.24_{ - 2.50}^{ + 1.21}$ 35.311.79+1.42$35.31_{ - 1.79}^{ + 1.42}$ Scaled semimajor axis
e 𝒰 (0, 0.9) 0 (fixed) 0.0180.014+0.044$0.018_{ - 0.014}^{ + 0.044}$ Orbital eccentricity
ω (deg) 𝒰 (0, 360) 90 (fixed) 185141+118$185_{ - 141}^{ + 118}$ Argument of periapsis

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