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Table A.3

Systemic parameters for HD 118203 from the two-planet model (Sec. 3.2) and the astrometric constraints (Sec. 3.3).

Parameter Prior This paper Pepper et al. (2020) Castro-González et al. (2024)
HD 118203 b
  Orbital period, Porb,b (d) U$\[\mathcal{U}\]$(6.134, 6.136) 6.1349890(13) 6.134985(30)+(29)$\[6.134985_{-(30)}^{+(29)}\]$ 6.1349847(20)
  Conjunction time, T0,b (BJDTDB)a U$\[\mathcal{U}\]$(8712.56, 8712.76) 8712.66178(19)+(20)$\[8712.66178_{-(19)}^{+(20)}\]$ 8712.66175(17) ...
  RV amplitude, Kb (km s−1) U$\[\mathcal{U}\]$(0.15, 0.29) 0.2222 ± 0.0021 0.21800.0043+0.0044$\[0.2180_{-0.0043}^{+0.0044}\]$ 0.21800.0039+0.0040$\[0.2180_{-0.0039}^{+0.0040}\]$
  Orbital eccentricity, eb U$\[\mathcal{U}\]$(0, 1) 0.301 ± 0.006 0.314 ± 0.017 0.316 ± 0.020
  Argument of periastron, ωb (°) U$\[\mathcal{U}\]$(0, 360) 157.4 ± 1.9 152.8 ± 3.1 152.5 ± 2.7
  Radius ratio, Rb/R* U$\[\mathcal{U}\]$(0.05, 0.06) 0.055410.00017+0.00025$\[0.05541_{-0.00017}^{+0.00025}\]$ 0.055520.00017+0.00019$\[0.05552_{-0.00017}^{+0.00019}\]$ 0.055460.00022+0.00024$\[0.05546_{-0.00022}^{+0.00024}\]$
  Scaled sum of radii, (Rb + R*)/ab U$\[\mathcal{U}\]$(0.1, 0.2) 0.14150.0020+0.0026$\[0.1415_{-0.0020}^{+0.0026}\]$ ... ...
  Orbital inclination, ib (°) U$\[\mathcal{U}\]$(80, 90) 88.91.0+0.8$\[88.9_{-1.0}^{+0.8}\]$ 88.880.97+0.77$\[88.88_{-0.97}^{+0.77}\]$ 89.160.65+0.57$\[89.16_{-0.65}^{+0.57}\]$
  Transit impact parameter, bb ... 0.120.08+0.10$\[0.12_{-0.08}^{+0.10}\]$ 0.1110.076+0.095$\[0.111_{-0.076}^{+0.095}\]$ 0.14 ± 0.10
  Transit depth, δtr,b (ppth) ... 3.5640.024+0.023$\[3.564_{-0.024}^{+0.023}\]$ 3.0830.018+0.021$\[3.083_{-0.018}^{+0.021}\]$ 3.075 ± 0.025
  Total transit duration, τ14,b (h) ... 5.6380.011+0.013$\[5.638_{-0.011}^{+0.013}\]$ 5.6500.012+0.014$\[5.650_{-0.012}^{+0.014}\]$ ...
  Scaled semi-major axis, ab/R* ... 7.460.14+0.11$\[7.46_{-0.14}^{+0.11}\]$ 7.230.14+0.13$\[7.23_{-0.14}^{+0.13}\]$ 9.32 ± 0.31
  Semi-major axis, ab (au) ... 0.0701 ± 0.0004 0.07070.0011+0.0010$\[0.0707_{-0.0011}^{+0.0010}\]$ 0.08635 ± 0.00057
  Mass, Mb (MJup) ... 2.182 ± 0.033 2.1660.079+0.074$\[2.166_{-0.079}^{+0.074}\]$ 2.282 ± 0.045
  Radius, Rb (RJup) ... 1.12 ± 0.09 1.1360.028+0.029$\[1.136_{-0.028}^{+0.029}\]$ 1.076 ± 0.035
  Density, ρb (g cm−3) ... 2.1 ± 0.5 1.83 ± 0.12 2.27 ± 0.23
  Surface gravity, gb (m s−2) ... 45.61.9+1.5$\[45.6_{-1.9}^{+1.5}\]$ 41.6 ± 1.9 48.9 ± 3.4
  Equilibrium temperatureb, Teq,b (K) ... 137117+16$\[1371_{-17}^{+16}\]$ 1367 ± 23 1360 ± 23
HD 118203 c
  Orbital period, Porb,c (d) U$\[\mathcal{U}\]$(3000, 10000) 5070230+240$\[5070_{-230}^{+240}\]$ ... ...
  Conjunction time, T0,c (BJDTDB)a U$\[\mathcal{U}\]$(4000, 10000) 682563+68$\[6825_{-63}^{+68}\]$ ... ...
  RV amplitude, Kc (km s−1) U$\[\mathcal{U}\]$(0.01, 0.4) 0.1180.010+0.011$\[0.118_{-0.010}^{+0.011}\]$ ... ...
  Orbital eccentricity, ec U$\[\mathcal{U}\]$(0, 1) 0.257 ± 0.034 ... ...
  Argument of periastron, ωc (°) U$\[\mathcal{U}\]$(0, 360) 175.44.6+4.3$\[175.4_{-4.6}^{+4.3}\]$ ... ...
  Orbital inclinationc, ic (°) U$\[\mathcal{U}\]$(0, 180) 9519+15$\[95_{-19}^{+15}\]$ ... ...
  Semi-major axis, ac (au) ... 6.20 ± 0.20 ... ...
  Mass, Mc (MJup) ... 11.11.0+1.3$\[11.1_{-1.0}^{+1.3}\]$ ... ...
  Equilibrium temperatureb, Teq,c (K) ... 146 ± 3 ... ...
Common
  q1 LD coefficient, q1,JTESS U$\[\mathcal{U}\]$(0, 1) 0.2370.034+0.039$\[0.237_{-0.034}^{+0.039}\]$ ... ...
  q2 LD coefficient, q2,TESS U$\[\mathcal{U}\]$(0, 1) 0.3690.079+0.077$\[0.369_{-0.079}^{+0.077}\]$ ... ...
  Linear LD coefficient, u1,TESS ... 0.36 ± 0.05 0.355 ± 0.063 0.3470.042+0.041$\[0.347_{-0.042}^{+0.041}\]$
  Quadratic LD coefficient, u2,TESS ... 0.13 ± 0.08 0.14 ± 0.10 0.1500.069+0.071$\[0.150_{-0.069}^{+0.071}\]$
  Stellar density from transits, ρ*,tr (ρ) ... 0.14820.0080+0.0063$\[0.1482_{-0.0080}^{+0.0063}\]$ ... ...
  Stellar radiusd, R*,tr (R) ... 2.0190.031+0.038$\[2.019_{-0.031}^{+0.038}\]$ ... ...
  Barycentric RVELODIE (km s−1) U$\[\mathcal{U}\]$(−30.0, −28.5) −29.288 ± 0.011 −29.312 ± 0.003 −29.3643 ± 0.0045
  RVHRS offset (km s−1) U$\[\mathcal{U}\]$(−0.5, 0.5) −0.020 ± 0.009 ... ...
  Barycentric RVHARPS-N (km s−1) U$\[\mathcal{U}\]$(−30.0, −28.5) −29.177 ± 0.008 ... ...
  RV jitter ln σjitter,ELODIE (ln km s−1) U$\[\mathcal{U}\]$(−15, 0) 4.290.19+0.18$\[-4.29_{-0.19}^{+0.18}\]$ 4.190.20+0.19$\[-4.19_{-0.20}^{+0.19}\]$ 4.230.19+0.18$\[-4.23_{-0.19}^{+0.18}\]$
  RV jitter in σjitter,HRS (ln km s−1) U$\[\mathcal{U}\]$(−15, 0) −4.20 ± 0.14 ... ...
  RV jitter in σjitter,HARPS-N (ln km s−1) U$\[\mathcal{U}\]$(−15, 0) 4.910.25+0.26$\[-4.91_{-0.25}^{+0.26}\]$ ... ...
  RV jitter σjitter,ELODIE (km s−1) ... 0.01370.0027+0.0024$\[0.0137_{-0.0027}^{+0.0024}\]$ 0.01520.0027+0.0031$\[0.0152_{-0.0027}^{+0.0031}\]$ 0.01450.0025+0.0028$\[0.0145_{-0.0025}^{+0.0028}\]$
  RV jitter σjitter,HRS (km s−1) ... 0.0150 ± 0.0021 ... ...
  RV jitter σjitter,HARPS-N (km s−1) ... 0.00740.0018+0.0019$\[0.0074_{-0.0018}^{+0.0019}\]$ ... ...

Notes. Priors are given for free parameters of the fit. The derived quantities are those without priors. a Given as BJDTDB – 2450000. b Assuming Bond albedo A = 0.3 and emissivity ϵ = 1 (Günther & Daylan 2021). c Obtained from the astrometric constraints (Sec. 3.3). d Calculated from ρ*,tr and the stellar mass M* as a consistency check, not used in calculations.

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