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Table A.1

Maximum likelihood solution and kima posteriors for HD 23079, HD 196067, HD 86226.

HD 23079 HD 196067 HD 86226
Parameter unit max-likelihooda kima posteriorb max-likelihooda kima posteriorb max-likelihooda kima posteriorb
vsys. m s−1 573.801 ±0.319 574.0 ± 0.5 −10945.854 ±0.922 −10945.0−1.6+1.5$\[-10945.0_{-1.6}^{+1.5}\]$ 19776.047 ±0.825 19776.5−1.5+1.6$\[19776.5_{-1.5}^{+1.6}\]$
vCORALIE98 ms−1 65.81 ±1.30 65.9 ± 1.4 64.74 ±2.26 65.5−2.8+3.0$\[65.5_{-2.8}^{+3.0}\]$ −31.82 ±3.01 −33−5+4$\[-33_{-5}^{+4}\]$
vCORALIE07 m s−1 70.44 ±1.48 70.6 ± 1.5 61.83 ±1.35 62.1−1.5+1.6$\[62.1_{-1.5}^{+1.6}\]$ −36.89 ±1.31 −37.6−2.9+1.7$\[-37.6_{-2.9}^{+1.7}\]$
vCORALIE14 m s−1 95.196 ±0.634 95.2−0.6+0.7$\[95.2_{-0.6}^{+0.7}\]$ 88.36 ±1.25 88.7−1.4+1.5$\[88.7_{-1.4}^{+1.5}\]$ −17.26 ±1.05 −17.6−1.5+1.3$\[-17.6_{-1.5}^{+1.3}\]$
vHARPS03 m s−1 −12.112 ±0.525 −11.9 ± 0.7 − − − −
vPFS1c m s−1 − − − − −160.29 ±1.08 −160.7−2.2+1.7$\[-160.7_{-2.2}^{+1.7}\]$
vPFS2c m s−1 − − − − −162.46 ±0.832 −163.3−2.1+1.6$\[-163.3_{-2.1}^{+1.6}\]$
σCORALIE98 m s−1 6.46 ±1.10 6.8−1.2+1.4$\[6.8_{-1.2}^{+1.4}\]$ 6.44 ±1.85 9.2−2.9+2.6$\[9.2_{-2.9}^{+2.6}\]$ 7.32 ±2.20 8.3−2.4+3.1$\[8.3_{-2.4}^{+3.1}\]$
σCORALIE07 m s−1 5.28 ±1.21 5.4−1.3+1.6$\[5.4_{-1.3}^{+1.6}\]$ 8.91 ±1.01 8.7−1.0+1.1$\[8.7_{-1.0}^{+1.1}\]$ 7.067 ±0.914 7.1−0.9+1.1$\[7.1_{-0.9}^{+1.1}\]$
σCORALIE14 m s−1 3.019 ±0.651 3.0−0.8+0.7$\[3.0_{-0.8}^{+0.7}\]$ 4.86 ±1.02 4.8−1.1+1.3$\[4.8_{-1.1}^{+1.3}\]$ 5.287 ±0.826 5.1−0.9+1.0$\[5.1_{-0.9}^{+1.0}\]$
σHARPS03 m s−1 1.684 ±0.266 1.9−0.3+0.4$\[1.9_{-0.3}^{+0.4}\]$ − − − −
σHARPS15 m s−1 1.253 ±0.174 1.46−0.26+0.27$\[1.46_{-0.26}^{+0.27}\]$ 2.381 ±0.215 2.48−0.25+0.33$\[2.48_{-0.25}^{+0.33}\]$ 1.435 ±0.163 1.54−0.18+0.21$\[1.54_{-0.18}^{+0.21}\]$
σPFS1 m s−1 − − − − 4.044 ±0.522 4.1−0.5+0.7$\[4.1_{-0.5}^{+0.7}\]$
σPFS2 m s−1 − − − − 1.590 ±0.408 1.8−0.4+0.6$\[1.8_{-0.4}^{+0.6}\]$
Pb d 735.740 ±0.220 735.7−0.4+0.4$\[735.7_{-0.4}^{+0.4}\]$ 3413.7 ±10.5 3397−14+17$\[3397_{-14}^{+17}\]$ 1609.5 ±19.4 1616−28+46$\[1616_{-28}^{+46}\]$
U0, b= M0, b + ωbd deg 107.069 ±0.563 107.0 ± 0.9 −50.31 ±1.45 −53.0−2.2+2.6$\[-53.0_{-2.2}^{+2.6}\]$ −70.55 ±8.07 −66−12+16$\[-66_{-12}^{+16}\]$
Kb m s−1 54.386 ±0.248 54.4−0.4+0.3$\[54.4_{-0.4}^{+0.3}\]$ 82.57 ±1.91 80−4+3$\[80_{-4}^{+3}\]$ 7.653 ±0.539 7.8−0.6+0.8$\[7.8_{-0.6}^{+0.8}\]$
eb 0.07348 ±0.00651 0.072−0.011+0.012$\[0.072_{-0.011}^{+0.012}\]$ 0.56292 ±0.00703 0.561−0.012+0.011$\[0.561_{-0.012}^{+0.011}\]$ 0.0389 ±0.0677 0.07−0.05+0.09$\[0.07_{-0.05}^{+0.09}\]$
ωbe deg 33.20 ±4.92 29−7+15$\[29_{-7}^{+15}\]$ 142.835 ±0.966 142.0−1.8+1.5$\[142.0_{-1.8}^{+1.5}\]$ 201.4 ±70.4 37−180+100$\[37_{-180}^{+100}\]$
mb sin ibf MJ 2.66 ±0.05 2.66 ± 0.05 5.58 ±0.44 5.42−0.26+0.20$\[5.42_{-0.26}^{+0.20}\]$ 0.46 ±0.04 0.49−0.04+0.05$\[0.49_{-0.04}^{+0.05}\]$
Pc d 5.748913 ±0.000204 5.74894−0.00021+0.00022$\[5.74894_{-0.00021}^{+0.00022}\]$ 4.601088 ±0.000192 4.60111 ± 0.00024 3.984436 ±0.000217 3.98450−0.00022+0.00023$\[3.98450_{-0.00022}^{+0.00023}\]$
U0, c= M0, c + ωcd deg 155.61 ±9.54 156 ± 10 −3.3 ±14.4 −1−17+18$\[-1_{-17}^{+18}\]$ −17.0 ±22.3 −10−22+24$\[-10_{-22}^{+24}\]$
Kc m s−1 2.702 ±0.252 2.65−0.27+0.26$\[2.65_{-0.27}^{+0.26}\]$ 3.762 ±0.396 3.6 ± 0.4 2.866 ±0.253 2.82−0.26+0.25$\[2.82_{-0.26}^{+0.25}\]$
ec 0.097 ±0.124 0.07−0.05+0.09$\[0.07_{-0.05}^{+0.09}\]$ 0.235 ±0.118 0.12−0.09+0.12$\[0.12_{-0.09}^{+0.12}\]$ 0.0619 ±0.0817 0.05−0.04+0.07$\[0.05_{-0.04}^{+0.07}\]$
ωce deg 283.4 ±47.2 247−166+64$\[247_{-166}^{+64}\]$ 295.5 ±23.8 278−104+41$\[278_{-104}^{+41}\]$ 144.6 ±91.4 170−94+108$\[170_{-94}^{+108}\]$
mc sin icf M⊕ 8.26 ±0.79 8.1 ± 0.8 10.4 ±1.39 10.1 ± 1.2 7.45 ±0.7 7.7 ± 0.7
reference epoch 2 455 000 BJD 2 455 000 BJD 2 455 000 BJD
N 199 187 246
log Lmax -537.8944 -569.7350 -690.3457
log Z -625.97 -644.7 -767.46
ℐ 77.19 67.56 70.37

Notes. (a) The provided values are the maximum-likelihood estimates, and the errorbars are the 1-σ uncertainties estimated from the second derivatives of the log-likelihood. (b) The provided values are the posterior medians and the errorbars correspond to the 16% and and 84% quantiles. (c) An arbitrary offset of 19619.947 m/s (the systemic RV of HD 86226 measured by Gaia) was added to the PFS RVs, since the data published by Teske et al. (2020) were already mean-subtracted. (d) Mean argument of latitude at the reference epoch (U0 = M0 + ω = λ0 − Ω, where M0, λ0, ω, and Ω are the mean anomaly, mean longitude, argument of periastron, and longitude of the ascending node, respectively). (e) Argument of periastron of the stellar orbit. (f) The uncertainties on the planetary masses take into account the stellar mass formal uncertainties, but not stellar models systematic errors (see Table 1).

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