Table A.3
Priors for each parameter used in the juliet joint fit model for HD 191939 planetary system. Prior labels ℱ, 𝒰, 𝒩, ℬ, and 𝒥 represent fixed, uniform, normal, beta and Jeffrey's distributions, respectively. The parametrization for (p, b) using (r1, r2) (Espinoza 2018) and (q1, q2) quadratic limb darkening (Kipping 2013) are both explained in Section 3.3.
| Parameter | Planet b | Planet c | Planet d | Planet e | Planet g |
|---|---|---|---|---|---|
| P [d] | 𝒩(8.8803, 0.0005) | 𝒩(28.5795, 0.0005) | 𝒩(38.3531, 0.0005) | 𝒩(101.0, 2.0) | 𝒩(300.0, 20.0) |
| t0(a) | 𝒩(2443.5414, 0.005) | 𝒩(2440.5455, 0.005) | 𝒩(2433.9098, 0.005) | 𝒩(2347.5, 2.0) | 𝒩(2400.0, 50.0) |
| K [m s−1] | 𝒰(0, 25) | 𝒰(0, 25) | 𝒰(0, 25) | 𝒰(0, 25) | 𝒰(0, 25) |
| ecc | ℬ(1.52, 29) | ℬ(1.52, 29) | ℬ(1.52, 29) | ℬ(1.52, 29) | ℬ(1.52, 29) |
| ω (deg) | 𝒰(−180, 180) | 𝒰(−180, 180) | 𝒰(−180, 180) | 𝒰(−180, 180) | 𝒰(−180, 180) |
| r1 | 𝒰(0, 1) | 𝒰(0, 1) | 𝒰(0, 1) | – | – |
| r2 | 𝒰(0, 1) | 𝒰(0, 1) | 𝒰(0, 1) | – | – |
| Model Parameters | |||||
| Stellar density | |||||
| ρ* [kg m−3] | 𝒩 (1370, 150) | ||||
| Photometry parameters | |||||
| DTESS | ℱ (1) | ||||
| µTESS (ppm) | 𝒩(0, 0.1) | ||||
| σTESS (ppm) | 𝒥(0.1, 1000) | ||||
| q1, TESS | 𝒰(0, 1) | ||||
| q2, TESS | 𝒰(0, 1) | ||||
| RV parameters | |||||
| Intercept γ [m s−1] | ℱ(−300) | ||||
Slope  [m s−1 d−1] |
𝒰(−1, 1) | ||||
Curve  [m s−1 d−2] |
𝒰(−0.1, 0.1) | ||||
| γAPF [m s−1] | 𝒰(−10, 10) | ||||
| σAPF [m s−1] | 𝒥(0.1, 10) | ||||
| γHIRES [m s−1] | 𝒰(−10, 10) | ||||
| σHIRES [m s−1] | 𝒥(0.1, 10) | ||||
| γCARMENES [m s−1] | 𝒰(−10, 10) | ||||
| σCARMENES [m s−1] | 𝒥(0.1, 10) | ||||
| γHARPS-N [m s−1] | 𝒰(−10, 10) | ||||
| σHARPS-N [m s−1] | 𝒥(0.1, 10) | ||||
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