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Table A.1

Inferred system parameters.

Parameter MAP 95% HDI Median Stellar models
and 68.3% CI median and 68.3% CI

Star
Stellar mass, M [M] 1.0174 [0.242, 3.126] 1.11 1.029 ± 0.031
Stellar radius, R [] 1.1299 [0.804, 1.698] 1.16 ± 0.26 1.132 ± 0.012
Stellar mean density, ρ [gcm-3] 0.9943 [0.9713, 1.0259] 0.999 ± 0.015
Surface gravity, log g [cgs] 4.33946 [4.2069, 4.5192] 4.354 ± 0.084 4.3428 ± 0.0058
q1†,• K2 0.3864 [0.3585, 0.4179] 0.387 ± 0.015
q2†,• K2 0.4279 [0.3984, 0.4642] 0.430 ± 0.016
Linear limb darkening, ua K2 0.5319 [0.51646, 0.55534] 0.535 ± 0.010
Quadratic darkening, ub K2 0.0897 [0.0455, 0.1333] 0.087 ± 0.021
q1†,• EulerCam 0.2929 [0.1912, 0.3903] 0.282 ± 0.052
q2†,• EulerCam 0.643 [0.427, 0.885] 0.64 ± 0.13
ua EulerCam 0.6957 [0.5398, 0.8123] 0.682 ± 0.067
ub EulerCam –0.154 [–0.383, 0.067] –0.15 ± 0.11
Planet b
Semi-major axis, a [au] 0.050918 [0.03631, 0.07665] 0.052 ± 0.011 0.05111 ± 0.00051
Eccentricity, e 0.00380 [0.00000, 0.01052] 0.0028
Inclination, i [°] 88.927 [88.734, 89.403] 89.02 ± 0.17
Argument of pericentre, ω [°] 3.747 [–131.20, 171.20] 30 ± 79
Longitude of the ascending node, Ω [°] 180
Mean anomaly, M0 [°] 144.870 [–16.80, 285.60] 118 ± 78
0.0615 [–0.0439, 0.0946] 0.028 ± 0.037
0.0040 [–0.0543, 0.0916] 0.018 ± 0.042
Radius ratio, Rp/R 0.102036 [0.101564, 0.102303] 0.10193 ± 0.00018
Mass ratio, Mp/M 0.0010609 [0.000667, 0.001416] 0.00104 ± 0.00024 0.001061 ± 1.7 × 10-5
Scaled semi-major axis, a/R 9.6901 [9.6125, 9.7899] 9.705 ± 0.047
–2450000 [BJDTDB] 6982.978187 [6982.977745, 6982.978868] 6982.97823 ± 0.00032 6982.97826 ± 0.00016
P [d] 4.160666 [4.160061, 4.161365] 4.16071 ± 0.00038 4.16075 ± 0.00016
K [m s-1] 141.22 [138.43, 145.19] 142.0 ± 1.7
Planet mass, Mp [ME] 359.37 [174.61, 769.82] 383 363.8 ± 8.6
[MJ] 1.1307 [0.549, 2.422] 1.21 1.145 ± 0.027
Planet radius, Rp [] 12.576 [8.95, 18.91] 12.9 ± 2.8 12.59 ± 0.14
[] 1.1219 [0.798, 1.687] 1.15 ± 0.25 1.123 ± 0.013
Planet mean density, ρp [gcm-3] 0.9929 [0.627, 1.376] 0.98 ± 0.21 1.001 ± 0.023
Planet surface gravity, log gp [cgs] 3.34763 [3.33826, 3.36825] 3.3522 ± 0.0071
Planet c
Semi-major axis, a [au] 1.3694 [0.973, 2.060] 1.41 ± 0.30 1.375 ± 0.019
Eccentricity, e 0.366 [0.115, 0.575] 0.36 ± 0.12
Inclination, i [°] 72.829 [21.93, 151.28] 87 ± 45
Argument of pericentre, ω [°] 141.946 [72.04, 172.82] 136 ± 20
Longitude of the ascending node, Ω [°] 167.77 [0, 360] [0, 360]
Mean anomaly, M0 [°] 222.333 [201.60, 288.00] 229 ± 15
–0.4767 [–0.669, 0.052] –0.41
0.373 [0.063, 0.645] 0.40 ± 0.14
Mass ratio, Mp/M 0.001375 [0.000565, 0.002547] 0.00133
Scaled semi-major axis, a/R 260.60 [258.94, 263.72] 261.4 ± 1.3
–2450000 [BJDTDB] 7162.464 [7118.25, 7182.95] 7156 ± 18
P [d] 580.289 [561.83, 594.05] 580.7 ± 9.6
K [m s-1] 36.241 [18.84, 43.52] 29.4 ± 6.1
Planet mass, Mp [ME] 465.688 [101.22, 1116.23] 500 470
[MJ] 1.465 [0.318, 3.512] 1.57 1.47
Mpsini [ME] 444.932 [150.95, 845.06] 380 361
[MJ] 1.3999 [0.475, 2.659] 1.21 1.13
Planet d
Semi-major axis, a [au] 0.085769 [0.0613, 0.1289] 0.088 ± 0.019 0.08609 ± 0.00087
Eccentricity, e 0.00752 [0.00000, 0.02388] 0.0060
Inclination, i [°] 90.839 [88.965, 89.515] 89.22 ± 0.13
Argument of pericentre, ω [°] 4.655 [–116.80, 185.60] 27 ± 89
Longitude of the ascending node, Ω [°] 178.736 [174.12, 188.44] 181.4 ± 4.1
Mean anomaly, M0 [°] 93.201 [–81.20, 221.19] 68 ± 87
0.0865 [–0.0683, 0.1511] 0.033 ± 0.065
0.0070 [–0.0987, 0.1331] 0.020 ± 0.066
Radius ratio, Rp/R 0.029264 [0.029004, 0.029622] 0.02931 ± 0.00015
Mass ratio, Mp/M 4.564 × 10-5 [3.792, 5.280] × 10-5 (4.54 ± 0.38) × 10-5
Scaled semi-major axis, a/R 16.3223 [16.1715, 16.4699] 16.327 ± 0.079
–2450000 [BJDTDB] 6988.37565 [6988.3527, 6988.3993] 6988.375 ± 0.014 6988.3770 ± 0.0015
P [d] 9.09585 [9.0740, 9.1215] 9.095 ± 0.014 9.0961 ± 0.0012
K [m s-1] 4.681 [3.434, 6.300] 4.77 ± 0.81 4.71 ± 0.31
Planet mass, Mp [ME] 15.46 [3.99, 44.34] 16.8 15.7 ± 1.1
Planet radius, Rp [] 3.6067 [2.565, 5.470] 3.71 ± 0.82 3.619 ± 0.044
Planet mean density, ρp [gcm-3] 1.811 [1.490, 2.097] 1.80 ± 0.16
Planet surface gravity, log gp [cgs] 3.0661 [2.9480, 3.1967] 3.074 ± 0.067 3.068 ± 0.030
Planet e
Semi-major axis, a [au] 0.016816 [0.01199, 0.02532] 0.0173 ± 0.0038 0.01688 ± 0.00017
Eccentricity, e 0.0160 [0.0000, 0.1176] 0.030
Inclination, i [°] 91.82 [83.15, 97.56] 86.2 ± 2.1
Argument of pericentre, ω [°] 84.92 [0, 360] 160 ± 140
Longitude of the ascending node, Ω [°] 193.34 [120.60, 233.53] 187 ± 33
Mean anomaly, M0 [°] 244.10 [0, 360] 190 ± 120
0.011 [–0.282, 0.306] –0.02 ± 0.18
0.1260 [–0.2911, 0.1952] 0.034
Radius ratio, Rp/R 0.014328 [0.014066, 0.014774] 0.01439 ± 0.00016
Mass ratio, Mp/M 3.026 × 10-5 [0.975, 4.591] × 10-5 (2.54 ± 0.93) × 10-5
Scaled semi-major axis, a/R 3.2001 [3.1748, 3.2334] 3.205 ± 0.015
–2450000 [BJDTDB] 6979.765020 [6979.763101, 6979.765758] 6979.76455 ± 0.00094
P [d] 0.7896264 [0.7895968, 0.7896653] 0.789636 ± 1.7 × 10-5
K [m s-1] 7.01 [2.21, 9.32] 6.1 ± 1.9
Planet mass, Mp [ME] 10.25 [1.77, 22.70] 9.1 9.1
Planet radius, Rp [] 1.7659 [1.256, 2.692] 1.82 ± 0.40 1.778 ± 0.031
Planet mean density, ρp [gcm-3] 10.23 [3.39, 15.98] 8.5 ± 3.2 8.8 ± 2.7
Planet surface gravity, log gp [cgs] 3.508 [3.026, 3.695] 3.45
Data
K2 jitter 0.89868 [0.89319, 0.90644] 0.8997 ± 0.0034
EulerCam jitter 0.8931 [0.8449, 1.0135] 0.934 ± 0.040
CORALIE 2012 jitter 1.093 [0.736, 1.597] 1.09 ± 0.25
CORALIE 2016a jitter 0.828 [0.711, 1.405] 1.03 ± 0.19
CORALIE 2016b jitter 0.372 [0.216, 1.438] 0.57
PFS jitter 2.242 [1.605, 3.153] 2.31 ± 0.39
CORALIE 2012 offset [km s-1] 27.07055 [27.05995, 27.08424] 27.0711 ± 0.0068
CORALIE 2016a offset [km s-1] 27.08882 [27.07833, 27.09232] 27.0852 ± 0.0037
CORALIE 2016b offset [km s-1] 27.05459 [27.04380, 27.07814] 27.0612 ± 0.0078
PFS offset [km s-1] –0.02253 [–0.02696, 0.00107] –0.0112 ± 0.0076

Notes. The table includes: MAP, 95% HDI, posterior median, and 68.3% CI for the model-free photodynamical analysis, and the latter for the precision-improved parameters using theoretical stellar models. The astrocentric orbital elements are given for the reference time tref = 2456979.5 BJDTDB. with , , . CODATA 2014: = 6.674 08 × 10-11m3kg-1s-2. IAU 2012: au = 149 597 870 700 m. IAU 2015: = 6.957 × 108 m, = 1.327 124 4 × 1020m3s-2, = 6.378 1 × 106 m, = 3.986 004 × 1014m3s-2, = 7.149 2 × 107 m, = 1.266 865 3 × 1017m3s-2. M = /, ME = /, MJ = /, k2 = (86400 s)2/au3.

(•)

emcee jump parameter.

(†)

Kipping (2013) parametrisation for the limb-darkening coefficients to consider only physical values.

(∗)

Fixed at tref.

(†)

Reflected with respect to i = 90°, the supplementary angle is equally probable.

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