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Table A.1

Priors used for TOI-3493 b in the joint fit with juliet.

Parametera Prior Unit Description
Stellar and planetary parameters
ρ U$\mathcal{U}$(100, 10000) g cm−3 Stellar density
P N$\mathcal{N}$(8.159, 0.002) d Period of planet b
t0 N$\mathcal{N}$(2459313.0471, 0.002) d Time of transit center of planet b
r1 U$\mathcal{U}$(0, 1) Parameterization for p and b
r2 U$\mathcal{U}$(0, 1) Parameterization for p and b
K U$\mathcal{U}$(0, 20) m s−1 RV semi-amplitude of planet b
e 0.0 (fixed) Orbital eccentricity of planet b
ω 90.0 (fixed) deg Periastron angle of planet b
Photometry parameters
DTESS 37, 64 1.0 (fixed) Dilution factor for TESSsectors 37, 64
MTESS 37,64 N$\mathcal{N}$(0, 0.1) Relative flux offset for TESSsectors 37, 64
σTESS 37,64 LU$\mathcal{L}\mathcal{U}$(10−3, 104) ppm Extra jitter term for sectors TESS 37, 64
q1,TESS 37,64 U$\mathcal{U}$(0, 1) Limb-darkening parameterization for TESSsectors 37, 64
q2,TESS 37,64 U$\mathcal{U}$(0, 1) Limb-darkening parameterization for TESSsectors 37, 64
RV parameters
μHARPS N$\mathcal{N}$(−10, 10) m s−1 RV zero point for HARPS
σHARPS LU$\mathcal{L}\mathcal{U}$(0.01, 10) m s−1 Extra jitter term for HARPS
γ˙$\dot{\gamma}$ U$\mathcal{U}$(−100, 100) m s−1 day−1 Linear trend/Radial acceleration
GP hyperparameters
σGP,RV U$\mathcal{U}$(0, 100) m s−1 Amplitude of GP component for the RVs
αGP,RV LU(1010,106)$\mathcal{L}\mathcal{U}(10^{-10}, 10^{-6})$ d−2 Inverse length-scale of GP exponential component for the RVs
ΓGP,RV LU$\mathcal{L}\mathcal{U}$(0.1, 10) Amplitude of GP sine-squared component for the RVs
Prot;GP,RV U$\mathcal{U}$(10, 60) d Period of the GP QP component for the RVs

Notes. (a) N(μ,σ2)$\mathcal{N}(\mu, \sigma^2)$ is a normal distribution of mean μ and variance σ2, U$\mathcal{U}$(a, b) and LU$\mathcal{L}\mathcal{U}$(a, b) are uniform and log-uniform distributions between a and b.

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