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Table A.2

Priors used for TOI-1685 b and TOI-1685 [c] in the joint fit with juliet.

Parameter(a) Prior Unit Description
Stellar parameters
ρ g cm −3 Stellar density
Planet b parameters
Pb d Period of planet b
t0,b d Time of transit center of planet b
r1,b Parameterization for p and b
r2,b Parameterization for p and b
Kb m s−1 RV semi-amplitude of planet b
eb 0.0 (fixed) Orbital eccentricity of planet b
ωb 90.0 (fixed) deg Periastron angle of planet b
Planet candidate [c] parameters –> only used for 2cp+GP model fit
Pc d Period of candidate [c]
t0,c d Time of transit center of candidate [c]
Kc m s−1 RV semi-amplitude of candidate [c]
ec 0.0 (fixed) Orbital eccentricity of candidate [c]
ωc 90.0 (fixed) deg Periastron angle of candidate [c]
Photometry parameters for TESS Sector 19
DTESS 1.0 (fixed) Dilution factor for TESS
MTESS Relative flux offset for TESS
σTESS ppm Extra jitter term for TESS
q1,TESS Limb-darkening parameterization for TESS
q2,TESS Limb-darkening parameterization for TESS
Photometry parameters for LCOGT nights, 2020-08-26, 2020-11-07 and, 2020-11-11
DLCOGT 1.0 (fixed) Dilution factor for LCOGT
MLCOGT Relative flux offset for LCOGT
σLCOGT ppm Extra jitter term for LCOGT
q1,LCOGT Limb-darkening parameterization for LCOGT
Photometry parameters for PESTO, night 2020-03-08
DPESTO 1.0 (fixed) Dilution factor for PESTO
MPESTO Relative flux offset for PESTO
σPESTO ppm Extra jitter term for PESTO
q1,PESTO Limb-darkening parameterization for PESTO
Photometry parameters for MuSCATS2 i, and zs bands, night 2021-01-19 and 2021-01-29
1.0 (fixed) Dilution factor for MuSCAT2
Relative flux offset for MuSCAT2
ppm Extra jitter term for MuSCAT2
Limb-darkening parameterization
RV parameters
γCARMENES m s−1 RV zero point for CARMENES
σCARMENES m s−1 Extra jitter term for CARMENES
GP hyperparameters
σGP,RV m s−1 Amplitude of GP component for the RVs
αGP,RV d−2 Inverse length scale of GP exponential component for the RVs
ΓGP,RV Amplitude of GP sine-squared component for the RVs
Prot;GP,RV d Period of the GP quasi-periodic component for the RVs

Notes. (a) The parameterization for (p, b) was made with (r1, r2) as in Espinoza (2018). The prior labels of , , and represent normal, uniform, and Jeffreys (log-uniform) distributions, respectively; is a normal distribution of the mean, μ, and variance, σ2; and are uniform; and Jeffreys (log-uniform) distributions are between a and b.

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