Table C.2
Parameter prior functions used in the juliet joint fit model for GJ 806.
| Parameter | Prior | Description |
|---|---|---|
| Stellar parameters | ||
| ρ⋆ [kg m−3] | 𝒩 (8200,500) | Stellar density |
| Planet parameters | ||
| Pb [d] | 𝒩 (0.9263, 0.001) | Period of planet b |
| t0,b (a) | 𝒩 (2445.57,0.1) | Central time of transit of planet b |
| Kb [m s−1] | 𝒰 (0.0,20.0) | RV semi-amplitude of planet b |
| eb | ℱ (0.0) | Eccentricity of planet b |
| ωb | ℱ (90.0) | Argument of periastron of planet b |
| r1,b | 𝒰 (0.0,1.0) | Parametrization for p and b for planet b |
| r2,b | 𝒰 (0.0,1.0) | Parametrization for p and b for planet b |
| Pc [d] | 𝒩 (6.6,0.1) | Period of planet c |
| t0,c (a) | 𝒰 (2420.5,2424.0) | Central time of transit of planet c |
| Kc [m s−1] | 𝒰 (0.0,20.0) | RV semi-amplitude of planet c |
| ec | ℱ (0.0) | Eccentricity of planet c |
| ωc | ℱ (90.0) | Argument of periastron of planet c |
| Photometry parameters | ||
| D (ppm) | ℱ (1.0) | Dilution factor for TESS and MuSCAT2 |
| q1,TESS | 𝒰 (0.0,1.0) | Quadratic limb darkening parametrization for TESS |
| q2,TESS | 𝒰 (0.0,1.0) | Quadratic limb darkening parametrization for TESS |
| Mtess (ppm) | 𝒩 (0.0,0.1) | Relative flux offset for TESS |
| σTESS (ppm) | ℐ (0.1,103) | Extra jitter term for TESS |
| q1,MuSCAT2-g | 𝒰 (0.0,1.0) | Linear limb darkening parametrization for MuSCAT2-g |
| MMuSCAT2-g (ppm) | 𝒩 (0.0,0.1) | Relative flux offset for MuSCAT2-g |
| σMuSCAT2-g (ppm) | ℐ (0.1,103) | Extra jitter term for MuSCAT2-g |
| q1,MuSCAT2-r | 𝒰 (0.0,1.0) | Linear limb darkening parametrization for MuSCAT2-r |
| MMuSCAT2-r (ppm) | 𝒩 (0.0,0.1) | Relative flux offset for MuSCAT2-r |
| σMuSCAT2-r (ppm) | ℐ (0.1,103) | Extra jitter term for MuSCAT2-r |
| q1,MuSCAT2-i | 𝒰 (0.0,1.0) | Linear limb darkening parametrization for MuSCAT2-i |
| MmuScat2-i (ppm) | 𝒩 (0.0,0.1) | Relative flux offset for MuSCAT2-i |
| σMuSCAT2-i (ppm) | ℐ (0.1,103) | Extra jitter term for MuSCAT2-i |
| q1,MuSCAT2-z | 𝒰 (0.0,1.0) | Linear limb darkening parametrization for MuSCAT2-z |
| MmuScat2-z (ppm) | 𝒩 (0.0,0.1) | Relative flux offset for MuSCAT2-z |
| σMuSCAT2-z (ppm) | ℐ (0.1,103) | Extra jitter term for MuSCAT2-z |
| RV parameters | ||
| γCARMENES [m s−1] | 𝒰 (−10.0,10.0) | Systemic velocity for CARMENES |
| σCARMENES [m s−1] | ℐ (0.1,10) | Extra jitter term for CARMENES |
| γhires [m s−1] | 𝒰 (−10.0,10.0) | Systemic velocity for HIRES |
| σhires [m s−1] | ℐ (0.1,10) | Extra jitter term for HIRES |
 |
𝒰 (−10.0,10.0) | Systemic velocity for MAROON-X red arm |
 |
ℐ (0.1,10) | Extra jitter term for MAROON-X red arm |
 |
𝒰 (−10.0,10.0) | Systemic velocity for MAROON-X blue arm |
 |
ℐ (0.1,10) | Extra jitter term for MAROON-X blue arm |
Notes. The prior labels ℱ, 𝒰, 𝒩, and ℐ represent fixed, uniform, normal, and Jeffreys distributions, respectively. The parametrization for (p, b) using (r1, r2) (Espinoza 2018) and (q1, q2) quadratic limb darkening (Kipping 2013) are both explained in Sect. 4.3. Central time of transit (t0) units are BJD – 2457000.(a) Central time of transit (t0) units are BJD – 2457000.
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