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Table 3

TOI-4438 b parameters from the joint RVs and transit modeling with pyaneti.

Parameter Prior Derived value (e = 0) Derived value (e ≠ 0)
Model parameters
Porb,b (days) 𝒰[7.2,7.7] 7.44628 ± 0.000009 7.44628 ± 0.000009
T0,b (BJDTDB–2450 000) 𝒰[9396.16, 9396.66] 9396.41178 ± 0.00066 9396.41168 ± 0.00065
Rb/R 𝒰[0.001,0.09] 0.0613 ± 0.0007 0.062 ± 0.001
bb 𝒰[0,1] 0.180.13+0.15$0.18_{ - 0.13}^{ + 0.15}$ 0.390.24+0.16$0.39_{ - 0.24}^{ + 0.16}$
ebsinω,b$\sqrt {{e_{\rm{b}}}} \sin {\omega _{ \star ,{\rm{b}}}}$ 𝒰[−1,1] 0.0 0.310.14+0.20$ - 0.31_{ - 0.14}^{ + 0.20}$
ebcosω,b$\sqrt {{e_{\rm{b}}}} \cos {\omega _{ \star ,{\rm{b}}}}$ 𝒰[−1,1] 0.0 0.110.19+0.14$0.11_{ - 0.19}^{ + 0.14}$
Kb (ms−1) 𝒰[0,50] 3.23 ± 0.69 3.50 ± 0.72

Derived parameters
Mb (Mθ) 5.1 ± 1.1 5.4 ± 1.1
Rb R 2.48 ± 0.12 2.52± 0.13
ρb (g cm−3) 1.800.44+0.53$1.80_{ - 0.44}^{ + 0.53}$ 1.850.44+0.51$1.85_{ - 0.44}^{ + 0.51}$
ab (au) 0.0509 ± 0.0028 0.0534 ± 0.0037
eb 0.0 0.14 ± 0.09
ω★,b (deg) 0.0 7032+36$ - 70_{ - 32}^{ + 36}$
ib (deg) 89.640.31+0.25$89.64_{ - 0.31}^{ + 0.25}$ 89.340.21+0.39$89.34_{ - 0.21}^{ + 0.39}$
τ14,b (h) 2.002 ± 0.018 2.0210.025+0.033$2.021_{ - 0.025}^{ + 0.033}$
Teq,b (K) (α=0) 446±13 435±15
Teq,b (K) (α=0.6) 354± 7 347±5
Sb (S) 6.570.68+0.81$6.57_{ - 0.68}^{ + 0.81}$ 6.000.77+0.90$6.00_{ - 0.77}^{ + 0.90}$

Additional model parameters
ρ (g cm−3)1 𝒩[10.06,1.62] 8.920.99+0.49$8.92_{ - 0.99}^{ + 0.49}$ 10.11.4+1.7$10.1_{ - 1.4}^{ + 1.7}$
γCARMENES (ms−1) 𝒰[−2,2] −0.2 ± 0.5 −0 3 ± 0 5
RV jitter term σRV,CARMENES (ms−1) 𝒥[0,100] 1.480.79+0.72$1.48_{ - 0.79}^{ + 0.72}$ 1.330.80+0.71$1.33_{ - 0.80}^{ + 0.71}$
Phot. jitter term σTESS 𝒥[0,100] 0.000060 ± 0.000055 0 000060 ± 0 000055
Phot. jitter term σMuSCAT2i′ 𝒥[0,100] 0.00014 ± 0.00011 0.00013 ± 0.00011
Phot. jitter term σMuSCAT2 zs${\sigma _{{\rm{MuSCAT2 }}{{\rm{z}}_{\rm{s}}}}}$ 𝒥[0,100] 0.00018 ± 0.00016 0.00017 ± 0.00016

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