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Home All issues Volume 698 (June 2025) A&A, 698 (2025) A114 Full HTML
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Table 4

Fitted and derived planetary parameters (the median, the 16 and 84% percentile as well as the best value) for three Newtonian models.

Fit parameter Prior Posterior coplanar, Model D5 Best Posterior 3D Best Posterior HARPS only Best
Planet b
P [d] 𝒰(3.206, 3.209) 3.2073−0.0003+0.0002$\[3.2073_{-0.0003}^{+0.0002}\]$ 3.2071 3.2075−0.0001+0.0001$\[3.2075_{-0.0001}^{+0.0001}\]$ 3.2077 3.2066−0.0003+0.0002$\[3.2066_{-0.0003}^{+0.0002}\]$ 3.2066
m [M⊕] 𝒰(0, 3) 1.11−0.09+0.11−0.11+0.15$\[1.11_{-0.09}^{+0.11}{ }_{-0.11}^{+0.15}\]$ 1.08 1.11−0.11+0.12$\[1.11_{-0.11}^{+0.12}\]$ 1.09 1.49−0.25+0.30$\[1.49_{-0.25}^{+0.30}\]$ 1.71
h′ 𝒰(−0.4, 0.4) 0.15−0.13+0.11$\[0.15_{-0.13}^{+0.11}\]$ 0.24 0.10−0.14+0.09$\[0.10_{-0.14}^{+0.09}\]$ −0.17 0.21−0.22+0.07$\[0.21_{-0.22}^{+0.07}\]$ 0.25
k′ 𝒰(−0.4, 0.4) −0.13−0.09+0.10$\[-0.13_{-0.09}^{+0.10}\]$ 0.16 0.15−0.09+0.10$\[0.15_{-0.09}^{+0.10}\]$ 0.13 −0.11−0.08+0.14$\[-0.11_{-0.08}^{+0.14}\]$ −0.20
λ [°] 𝒰(0, 360) 229−24+23$\[229_{-24}^{+23}\]$ 232 214−19+21$\[214_{-19}^{+21}\]$ 236 259−34+40$\[259_{-34}^{+40}\]$ 246
i [°] 𝒰(arccos 0, arccos π) 77−13+9$\[77_{-13}^{+9}\]$ 70 65−7+8$\[65_{-7}^{+8}\]$ 65 53−6+9$\[53_{-6}^{+9}\]$ 47
Ω 𝒰(0, 360) 0 (fixed) 0 (fixed) 0 (fixed)
K [m s−1] Derived 1.83−0.17+0.18$\[1.83_{-0.17}^{+0.18}\]$ 1.81 1.78−0.17+0.18$\[1.78_{-0.17}^{+0.18}\]$ 1.76 2.18−0.30+0.30$\[2.18_{-0.30}^{+0.30}\]$ 2.24
a [au] Derived 0.0210−0.0006+0.0006$\[0.0210_{-0.0006}^{+0.0006}\]$ 0.0210 0.0210−0.0006+0.0006$\[0.0210_{-0.0006}^{+0.0006}\]$ 0.0210 0.0210−0.0006+0.0006$\[0.0210_{-0.0006}^{+0.0006}\]$ 0.0210
e Derived 0.05−0.03+0.5$\[0.05_{-0.03}^{+0.5}\]$ 0.08 0.05−0.03+0.4$\[0.05_{-0.03}^{+0.4}\]$ 0.05 0.07−0.04+0.03$\[0.07_{-0.04}^{+0.03}\]$ 0.10
r [R⊕](a) Derived 1.02−0.03+0.04$\[1.02_{-0.03}^{+0.04}\]$ 1.03 1.04−0.04+0.04$\[1.04_{-0.04}^{+0.04}\]$ 1.03 1.14−0.07+0.08$\[1.14_{-0.07}^{+0.08}\]$ 1.20
Planet c
P [d] 𝒰(6.675, 6690) 6.6821−0.0008+0.0008$\[6.6821_{-0.0008}^{+0.0008}\]$ 6.6827 6.6813−0.0004+0.0004$\[6.6813_{-0.0004}^{+0.0004}\]$ 6.6810 6.6830−0.001+0.002$\[6.6830_{-0.001}^{+0.002}\]$ 6.6831
m [M⊕] 𝒰(0, 3) 1.81−0.11+0.13−0.14+0.21$\[1.81_{-0.11}^{+0.13}{ }_{-0.14}^{+0.21}\]$ 1.74 1.81−0.11+0.12$\[1.81_{-0.11}^{+0.12}\]$ 1.88 2.20−0.37+0.20$\[2.20_{-0.37}^{+0.20}\]$ 2.32
h′ 𝒰(−0.4, 0.4) −0.06−0.09+0.11$\[-0.06_{-0.09}^{+0.11}\]$ −0.04 0.05−0.08+0.08$\[0.05_{-0.08}^{+0.08}\]$ 0.11 −0.18−0.05+0.48$\[-0.18_{-0.05}^{+0.48}\]$ −0.10
k′ 𝒰(−0.4, 0.4) −0.08−0.09+0.10$\[-0.08_{-0.09}^{+0.10}\]$ −0.14 0.00−0.10+0.11$\[0.00_{-0.10}^{+0.11}\]$ 0.13 0.00−0.108+0.16$\[0.00_{-0.108}^{+0.16}\]$ 0.04
λ [°] 𝒰(0, 360) 337−16+16$\[337_{-16}^{+16}\]$ 348 335−17+17$\[335_{-17}^{+17}\]$ 364 103−17+58$\[103_{-17}^{+58}\]$ 112
i [°] 𝒰(arccos 0, arccos π) co-planar 69−7+7$\[69_{-7}^{+7}\]$ 60 co-planar
Ω 𝒰(0, 360) 0 (fixed) 278−55+55$\[278_{-55}^{+55}\]$ 217 0 (fixed)
K [m s−1] Derived 2.32−0.19+0.22$\[2.32_{-0.19}^{+0.22}\]$ 2.29 2.34−0.18+0.19$\[2.34_{-0.18}^{+0.19}\]$ 2.28 2.23−0.37+0.26$\[2.23_{-0.37}^{+0.26}\]$ 2.37
a [au] Derived 0.0342−0.0010+0.0009$\[0.0342_{-0.0010}^{+0.0009}\]$ 0.0342 0.0342−0.0010+0.0009$\[0.0342_{-0.0010}^{+0.0009}\]$ 0.0342 0.0342−0.0010+0.0009$\[0.0342_{-0.0010}^{+0.0009}\]$ 0.0342
e Derived 0.02−0.02+0.03$\[0.02_{-0.02}^{+0.03}\]$ 0.02 0.01−0.01+0.01$\[0.01_{-0.01}^{+0.01}\]$ 0.03 0.04−0.02+0.04$\[0.04_{-0.02}^{+0.04}\]$ 0.01
r [R⊕](a) Derived 1.20−0.03+0.03$\[1.20_{-0.03}^{+0.03}\]$ 1.20 1.22−0.03+0.03$\[1.22_{-0.03}^{+0.03}\]$ 1.23 1.30−0.08+0.04$\[1.30_{-0.08}^{+0.04}\]$ 1.20
Planet d
P [d] 𝒰(13.052, 13.075) 13.066−0.002+0.002$\[13.066_{-0.002}^{+0.002}\]$ 13.065 13.066−0.002+0.002$\[13.066_{-0.002}^{+0.002}\]$ 13.068 13.067−0.002+0.002$\[13.067_{-0.002}^{+0.002}\]$ 13.066
m [M⊕] 𝒰(0, 3) 1.67−0.16+0.17−0.21+0.31$\[1.67_{-0.16}^{+0.17}{ }_{-0.21}^{+0.31}\]$ 1.69 1.65−0.16+0.15$\[1.65_{-0.16}^{+0.15}\]$ 1.53 1.98−0.18+0.19$\[1.98_{-0.18}^{+0.19}\]$ 2.13
h′ 𝒰(−0.4, 0.4) 0.08−0.14+0.12$\[0.08_{-0.14}^{+0.12}\]$ −0.11 0.07−0.11+0.10$\[0.07_{-0.11}^{+0.10}\]$ −0.12 −0.10−0.06+0.05$\[-0.10_{-0.06}^{+0.05}\]$ −0.19
k′ 𝒰(−0.4, 0.4) −0.11−0.11+0.15$\[-0.11_{-0.11}^{+0.15}\]$ 0.06 −0.12−0.09+0.10$\[-0.12_{-0.09}^{+0.10}\]$ −0.24 −0.19−0.10+0.14$\[-0.19_{-0.10}^{+0.14}\]$ −0.02
λ [°] 𝒰(0, 360) 83−29+26$\[83_{-29}^{+26}\]$ 80 86−16+18$\[86_{-16}^{+18}\]$ 86 91−18+24$\[91_{-18}^{+24}\]$ 102
i [°] 𝒰(arccos 0, arccos π) co-planar 63−9+8$\[63_{-9}^{+8}\]$ 61 co-planar
Ω 𝒰(0, 360) 0 (fixed) 211−61+52$\[2111_{-61}^{+52}\]$ 328 0 (fixed)
K [m s−1] Derived 1.63−0.16+0.17$\[1.63_{-0.16}^{+0.17}\]$ 1.77 1.63−0.21+0.22$\[1.63_{-0.21}^{+0.22}\]$ 1.49 1.63−0.18+0.18$\[1.63_{-0.18}^{+0.18}\]$ 1.74
a [au] Derived 0.054−0.002+0.002$\[0.054_{-0.002}^{+0.002}\]$ 0.054 0.054−0.002+0.002$\[0.054_{-0.002}^{+0.002}\]$ 0.054 0.054−0.002+0.002$\[0.054_{-0.002}^{+0.002}\]$ 0.054
e Derived 0.04−0.03+0.04$\[0.04_{-0.03}^{+0.04}\]$ 0.02 0.03−0.01+0.04$\[0.03_{-0.01}^{+0.04}\]$ 0.07 0.05−0.03+0.04$\[0.05_{-0.03}^{+0.04}\]$ 0.04
r [R⊕](a) Derived 1.16−0.04+0.04$\[1.16_{-0.04}^{+0.04}\]$ 1.20 1.18−0.04+0.04$\[1.18_{-0.04}^{+0.04}\]$ 1.15 1.26−0.04+0.04$\[1.26_{-0.04}^{+0.04}\]$ 1.29

Notes. A co-planar configuration where the Ω = 0 and the inclination of planes c and d are fixed to the one of planet b, a three-dimensional model with Ω of the inner planet fixed due to symmetry along the light of sight, and a co-planar model using HARPS data only. In the column for model D5 we list a second set of uncertainties for the planetary masses, which are obtained from the weighted averages of the models D4-D6 in order to account for the uncertainties in the treatment of the stellar noise. (a)The radius is estimated assuming Earth density.

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