Table 2
Orbital parameters of β Pic b.
| Orbital element | Prior | Only relative astrometry | HIPPARCOS IAD and Gaia DR2 | Brandt (2018) HGCA and stellar RVs | |||
|---|---|---|---|---|---|---|---|
| 68% CI | Best fit | 68% CI | Best fit | 68% CI | Best fit | ||
| a(au) | LogUniform(1, 100) | 10.6 ± 0.5 | 10.9 |  |
11.2 |  |
10.2 |
| e | Uniform(0, 1) |  |
0.18 |  |
0.21 | 0.11 ± 0.05 | 0.13 |
| i(°) | sin (i) | 89.04 ± 0.03 | 89.05 | 89.06 ± 0.02 | 89.07 |  |
89.00 |
| ω (°) | Uniform(0, 2π) |  |
196 | 197 ± 2 | 197 | 202 ± 5 | 202 |
| Ω (°) | Uniform(π∕10, π∕2) | 31.88 ± 0.05 | 31.90 | 31.90 ± 0.05 | 31.92 | 31.87 ± 0.05 | 31.88 |
| τ | Uniform(0, 1) | 0.159 ± 0.009 | 0.157 |  |
0.152 |  |
0.185 |
| Parallax (mas) |  (51.44, 0.12) |
51.44 ± 0.12 | 51.45 | 51.44 ± 0.12 | 51.49 | 51.44 ± 0.12 | 51.47 |
| Mtot (M⊙) | Uniform(1.4, 2) | 1.82 ± 0.03 | 1.82 | 1.83 ± 0.03 | 1.81 | 1.79 ± 0.03 | 1.78 |
| Mb (MJup) | Uniform(1, 100) | – | – | 12.7 ± 2.2 | 13.8 |  |
15.1 |
Notes. Listed are fits using just astrometry of the planet (Sect. 3.1) and also including measurements of the stellar orbit for dynamical mass estimates of the planet (Sect. 3.2). For each fit, the first column lists the 68% credible interval centered about the median. The second column lists the fit with the maximum posterior probability. We note that this the best fit orbit is generally not the best estimate of the true orbit. However, it is useful as a valid representative orbit, whereas using the median of all of the orbital parameters often is not a valid orbit due to complex covariances.
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