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Table 7

Priors and inferred parameters from transit and RV modeling with pyaneti (Model 3) and UTM/UFIT or FCO.

Parameter Prior(a) pyaneti 𝒰FIT / FCO
TOI-1416 b
Orbital period Porb (days) 𝒰[1.0690, 1.0705] 1.0697568± 2.8e−06 1.0697564 ± 2.8e−06
Transit epoch T0 (BJDTDB − 2450 000) 𝒰[8739.455, 8739.466] 8739.4621 ± 0.0008 8739.4620±0.0008
Eccentricity e ℱ [0] 0 0
Scaled planetary radius Rp/R 𝒰[0.01, 0.10] 0.01873 ± 0.00054 0.01963 ± 0.00059
Impact parameter, b 𝒰[0, 1]
RV semi-amplitude K (m s−1) 𝒰[0, 25] 2.52 ± 0.32 2.14 ± 0.35

TOI-1416 c
Orbital period Porb (days) ℱ[29.5306] 29.5306
Transit epoch T0 (BJDTDB − 2450 000) 𝒰[8868.00, 8885.00] 8876.78 ± 0.69
Eccentricity e ℱ[0] 0
RV semi-amplitude K (m s−1) 𝒰[0, 25]

GP period PGP (days) 𝒰[15, 28]
λP 𝒰[0.1, 5] 0 62 ± 0 10
λe (days) 𝒰[1, 200] 24 0 ± 6 2
ARV (ms−1) 𝒰[0, 100]
BRV (ms−1) 𝒰[0, 1000]
AdLw (100 m2 s−2) 𝒰[0, 1]
Offset HARPS-N(b) (ms−1) 𝒰[−511, 509] 0.79 ± 0.52 −0.05 ± 0.87
Offset dLW (m2 s−2) 𝒰[−0.5351,0.5180] −0.063 ± 0.033
Jitter term σHARPSN (m s−1) ℐ[1, 1000] 0.30 ± 0.25
Jitter term σdLW (100 m2 s−2) ℐ[1, 1000] 26.9 ± 3.6
Limb darkening q1 𝒢[0.413, 0.091] 0.429 ± 0.087 0.430 ± 0.089
Limb darkening q2 𝒢[0.354, 0.030] 0.355 ± 0.030 0.355 ± 0.031
Jitter term σTESS (×10−6) 𝒰[0, 1 × 103] 788.2 ± 2.8
Stellar density ρ (g cm−3) 𝒢[2.21, 0.27] 2.31 ± 0.28 2.40 ± 0.27

Notes. Inferred parameters and errors are defined as the median and 68.3% credible interval of the posterior distribution. (a)𝒰[a, b] refers to uniform priors between a and b (only for pyaneti; for UFIT or the FCO method, no priors were set except on the impact parameter b); 𝒢[a, b] to a Gaussian prior centered on a with a 1σ width of b; [a, b] to modified Jeffrey’s priors calculated using Eq. (16) in Gregory (2005); ℱ [a] to parameters that are fixed to a. (b)Offset against the zero-averaged HARPS-N RVs from serval (column rvs_srv in electronic data).

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