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Table B.1

TOI-4602 parameters from the transit and RV joint fit, obtained with one planet on a circular orbit model (M1 model).

Parameter Prior(a) Value (circular model) Value (eccentric model)
Model parameters
Orbital period Porb (days) 𝒩[3.98,0.2] 3.98129990.0000048+0.0000047Mathematical equation: $3.9812999_{ - 0.0000048}^{ + 0.0000047}$ 3.98129970.0000046+0.0000048Mathematical equation: $3.9812997_{ - 0.0000046}^{ + 0.0000048}$
Central time of the first transit T0 (BJD - 2 450 000) 𝒰[10590, 10595] 10591.500970.00073+0.00066Mathematical equation: $10591.50097_{ - 0.00073}^{ + 0.00066}$ 10591.500800.00076+0.00070Mathematical equation: $10591.50080_{ - 0.00076}^{ + 0.00070}$
Scaled planetary radius Rp/R 𝒰[0, 0.5] 0.02083 ± 0.00026 0.02089 ± 0.00076
Impact parameter, b 𝒰[0, 2] 0.170.12+0.16Mathematical equation: $0.17_{ - 0.12}^{ + 0.16}$ 0.220.15+0.20Mathematical equation: $0.22_{ - 0.15}^{ + 0.20}$
Radial velocity semi-amplitude variation K (m s−1) 𝒰[0.01,30] 2.39±0.40 2.76± 0.38

Derived parameters
Planetary radius (RJ) 0.2190.020+0.021Mathematical equation: $0.219_{ - 0.020}^{ + 0.021}$ 0.220±0.020
Planetary radius (R) 2.45 ±0.23 2.46±0.23
Planetary mass (MJ) 0.01740.0030+0.0029Mathematical equation: $0.0174_{ - 0.0030}^{ + 0.0029}$ 0.0195±0.027
Planetary mass (M) 5.530.94+0.93Mathematical equation: $5.53_{ - 0.94}^{ + 0.93}$ 6.190.85+0.86Mathematical equation: $6.19_{ - 0.85}^{ + 0.86}$
Eccentricity e 0 (fixed) 0.228±0.057
Scaled semi-major axis a/R 8.900.35+0.13Mathematical equation: $8.90_{ - 0.35}^{ + 0.13}$ 9.220.65+0.63Mathematical equation: $9.22_{ - 0.65}^{ + 0.63}$
Semi-major axis a (AU) 0.047470.00036+0.00035Mathematical equation: $0.04747_{ - 0.00036}^{ + 0.00035}$ 0.04746±0.00035
Argument of periastron ωP (deg) 90 (fixed) 15721+16Mathematical equation: $ - 157_{ - 21}^{ + 16}$
Orbital inclination i (deg) 88.931.1+0.74Mathematical equation: $88.93_{ - 1.1}^{ + 0.74}$ 88.671.2+0.89Mathematical equation: $88.67_{ - 1.2}^{ + 0.89}$
Transit duration T41 (days) 0.14364±0.00098 0.1350.010+0.011Mathematical equation: $0.135_{ - 0.010}^{ + 0.011}$
Transit duration T32 (days) 0.137440.00096+0.00095Mathematical equation: $0.13744_{ - 0.00096}^{ + 0.00095}$ 0.129±0.010

Calculated parameters
Equilibrium temperature Teq (K) 1344±80 1321±78
Planetary density ρP (g cm−3) 2.18±0.77 2.41±0.82
Scale height H (km) 538±140 476±114
δλ (ppm) 60±20 53±17
Transmission Spectroscopy Metric (TSM) 140±54 125±46
Insolation (S) 664±42 620±38

Other system parameters
Jitter term σHARPS −N (m s−1) 𝒰[0, 20] 1.580.23+0.26Mathematical equation: $1.58_{ - 0.23}^{ + 0.26}$ 1.330.21+0.25Mathematical equation: $1.33_{ - 0.21}^{ + 0.25}$
Offset γHARPS −N (m s−1) 𝒰[-58514.0504, -38502.3977] -48508.55±0.26 48508.550.27+0.25Mathematical equation: $ - 48508.55_{ - 0.27}^{ + 0.25}$
Jitter term σTESSSect43Mathematical equation: ${\sigma _{TES{S_{{\rm{Sect43}}}}}}$ (ppm) 𝒰[0, 0.0329] 0.0002613±0.0000036 0.00026130.0000036+0.0000037Mathematical equation: $0.0002613_{ - 0.0000036}^{ + 0.0000037}$
Jitter term σTESSSect44Mathematical equation: ${\sigma _{TES{S_{{\rm{Sect44}}}}}}$ (ppm) 𝒰[0, 0.0328] 0.00029230.0000035+0.0000036Mathematical equation: $0.0002923_{ - 0.0000035}^{ + 0.0000036}$ 0.00029240.0000037+0.0000036Mathematical equation: $0.0002924_{ - 0.0000037}^{ + 0.0000036}$
Jitter term σTESSSect70Mathematical equation: ${\sigma _{TES{S_{{\rm{Sect70}}}}}}$ (ppm) 𝒰[0, 0.0326] 0.00018630.0000041+0.0000042Mathematical equation: $0.0001863_{ - 0.0000041}^{ + 0.0000042}$ 0.00018640.0000042+0.0000041Mathematical equation: $0.0001864_{ - 0.0000042}^{ + 0.0000041}$
Jitter term σTESSSect71Mathematical equation: ${\sigma _{TES{S_{{\rm{Sect71}}}}}}$ (ppm) 𝒰[0, 0.0341] 0.00020440.0000042+0.0000041Mathematical equation: $0.0002044_{ - 0.0000042}^{ + 0.0000041}$ 0.0002043 ± 0.0000042
Jitter term σTESSSect86Mathematical equation: ${\sigma _{TES{S_{{\rm{Sect86}}}}}}$ (ppm) 𝒰[0, 0.0374] 0.00022970.0000045+0.0000044Mathematical equation: $0.0002297_{ - 0.0000045}^{ + 0.0000044}$ 0.00022970.0000046+0.0000045Mathematical equation: $0.0002297_{ - 0.0000046}^{ + 0.0000045}$
Stellar density ρ (ρ) 𝒩[0.71, 0.16] 0.5980.067+0.026Mathematical equation: $0.598_{ - 0.067}^{ + 0.026}$ 0.660.13+0.15Mathematical equation: $0.66_{ - 0.13}^{ + 0.15}$
Limb darkening c1 𝒩[0.3876, 0.2] 0.39±0.11 0.39±0.11
Limb darkening c2 𝒩[0.1413, 0.2] 0.08±0.16 0.08±0.15

Note. Parameter estimates and corresponding uncertainties are defined as the median and the 16th and 84th percentiles of the posterior distributions. (a) [a, b] refers to uniform priors between a and b, 𝒩[a, b] to Gaussian priors with median a and standard deviation b. (b) Parameter estimates and corresponding uncertainties are defined as the median and the 16th and 84th percentiles of the posterior distributions.

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