Table B.2
Priors used for the joint LCs and RVs fit of TOI-1470.
| Parameter | Prior | Unit | Description |
|---|---|---|---|
| Stellar parameter | |||
| ρ★ | 𝒩(6.413, 0.279) | g cm−3 | Stellar density |
| Photometric parameters | |||
 |
𝒩(0, 0.1) | The offset relative flux for TESS | |
 |
𝒩(0, 0.1) | The offset relative flux for TESS | |
 |
ℒ𝒰(10−6, 0.04) | A jitter added in quadrature to the error bars of instrument | |
 |
ℒ𝒰(10−6, 0.01) | A jitter added in quadrature to the error bars of instrument | |
 |
𝒩(0.286, 0.009) | … | Limb-darkening for photometric instrument |
 |
𝒩(0.270, 0.008) | · | Limb-darkening for photometric instrument |
| q1MuSCA r | 𝒩(0.68, 0.02) | · | Limb-darkening for photometric instrument |
| q2MuSCAT r | 𝒩(0.316, 0.09) | · | Limb-darkening for photometric instrument |
| q1MuSCAT i | 𝒩(0.324, 0.009) | · | Limb-darkening for photometric instrument |
| q1MuSCAT i | 𝒩(0.283, 0.009) | · | Limb-darkening for photometric instrument |
| q1MuSCAT zs | 𝒩(0.209, 0.007) | · | Limb-darkening for photometric instrument |
| q2MuSCAT zs | 𝒩(0.260, 0.009) | · | Limb-darkening for photometric instrument |
| q1MuSCAT g | 𝒩(0.79, 0.02) | · | Limb-darkening for photometric instrument |
| q2MuSCAT g | 𝒩(0.321, 0.008) | · | Limb-darkening for photometric instrument |
 |
1 (fixed) | · | The dilution factor for the photometric instrument |
 |
1 (fixed) | · | The dilution factor for the photometric instrument |
| RV parameters | |||
| γ | 𝒰(-10, 10) | m s−1 | RV zero point for CARMENES |
| σ | ℒ𝒰(0.001, 5) | m s−1 | A jitter added in quadrature |
| GP parameters | |||
| BGP,RV | 𝒰(0.01, 100) | ms−1 | Related to the amplitude of the GP for the RVs |
| LGP,RV | 𝒰(10, 104) | d | Related with the timescale for the amplitude-modulation of the GP |
| Prot,GP,RV | 𝒰(20, 50) | d | Period of the quasi-periodic kernel |
| Planet b parameters | |||
| P | 𝒩 (2.527, 0.01) | d | Period |
| t0 (BJD−2,457,000) | 𝒩 (1766.47, 0.01) | d | Time of periastron passage |
| e | 0 (fixed) | · | Orbital eccentricity |
| ω | 90 (fixed) | deg | Periastron angle |
| K | 𝒰 (0, 10) | ms−1 | RV semi-amplitude |
| r1 | 𝒰 (0, 1) | · | Parameterization for p and b |
| r2 | 𝒰 (0, 1) | · | Parameterization for p and b |
| Planet c parameters | |||
| P | 𝒩 (18.08, 0.01) | d | Period |
| t0 (BJD−2,457,000) | 𝒩 (1772.17, 0.1) | d | Time of periastron passage |
| e | 0 (fixed) | · | Orbital eccentricity |
| ω | 90 (fixed) | deg | Periastron angle |
| K | 𝒰 (0, 10) | ms−1 | RV semi-amplitude |
| r1 | 𝒰 (0, 1) | · | Parameterization for p and b |
| r2 | 𝒰 (0, 1) | · | Parameterization for p and b |
Notes. The prior labels of 𝒩, 𝒰, and ℒ 𝒰 represent the normal, uniform, and log-uniform distribution, respectively. The error on the density of the star comes from the stellar mass and radius errors. The upper limit on the photometric jitter term corresponds to ten times the error bars of the photometric data.
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