Table 3.
Posteriors of the MCMC analysis of the β Pictoris system.
| Parameter | Prior distribution | Posteriors (1σ) | Unit | |
|---|---|---|---|---|
| Star | β Pictoris | |||
| Stellar mass | Gaussian (1.77 ± 0.02) | 1.82 ± 0.03 | M⊙ | |
| Parallax | Uniform | 51.42 ± 0.11 | mas | |
| Proper motion | Uniform | RA = 4.88 ± 0.02, Dec = 83.96 ± 0.02 | mas yr−1 | |
| RV v0 | Uniform | −23.09 ± 8.44 | m s−1 | |
| RV jitter | Uniform | 31.21 ± 8.09 | m s−1 | |
| Planets | β Pictoris b | β Pictoris c | ||
| Semi-major axis | Log uniform | 9.90 ± 0.05 | 2.72 ± 0.02 | au |
| Eccentricity | Uniform | 0.10 ± 0.01 | 0.37 ± 0.12 | |
| Inclination | Sin uniform | 88.99 ± 0.01 | 89.17 ± 0.50 | deg |
| PA of ascending node | Uniform | 31.82 ± 0.02 | 30.98 ± 0.12 | deg |
| Argument of periastron | Uniform | 196.9 ± 3.5 | 66.2 ± 2.5 | deg |
| Epoch of periastron | Uniform | 0.72 ± 0.01 | 0.83 ± 0.02 | |
| Planet mass | Gaussian (15.4 ± 3.0) | 9.0 ± 1.6 | Mjup | |
| Log uniform | 8.2 ± 0.8 | Mjup | ||
| Period | – | 23.28 ± 0.46 | 3.37 ± 0.04 | years |
| ΔmK | – | 8.9 ± 0.1 | 10.8 ± 0.1 | mag |
Notes. Orbital elements are given in Jacobi coordinates. The ascending node is defined to be the node where the motion of the companion is directed away from the Sun. The epoch of periastron is given by orbitize! as a fraction of the period from a given date (here, 58889 MJD). The difference between the β Pic b mass from the prior and posterior indicates a tension between the dynamical data and spectral analysis. The periods are calculated from the posteriors. The K band delta magnitudes are obtained from present and published (GRAVITY Collaboration 2020) GRAVITY spectra.
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