Table A.2
Prior distributions for the HD 40307 system.
| Orbital parameters | Prior distribution | |
|
|
||
| Orbital period, P | [days] | J(1.0,104) |
| RV amplitude, K | [m s-1] | U(0.0,200) |
| Eccentricity, e | B(0.867,3.03) | |
| Argument of periastron, ω | [deg] | U(0,360) |
| Mean longitude at epoch, L0 | [deg] | U(0,360) |
| Systemic velocity, V0 | [km s-1] | U(28.996,33.668) |
| Velocity drift (long-term activity effect)⋆ | ||
|
|
||
| Scaling constant, α | [m s-1/dex] | U(0,100) |
| Linear | [10-4 dex yr-1] | N(373.8,8.6) |
| Quadratic | [10-4 dex yr-2] | N(46.3,4.6) |
| Cubic | [10-4 dex yr-3] | N(−17.3,1.0) |
| Noise model‡ | ||
|
|
||
Additional noise at  = –5, σJ | -5.0 |
[m s-1] | U(0,50) |
| Slope, αJ | [m s-1/dex] | U(0,50) |
Notes. Priors are identical for all signals in the model. The epoch is BJD = 2 454 521.6791. The argument of periastron ω is unconstrained for these nearly-circular orbits. U(xmin;xmax): uniform distribution between xmin and xmax. J(xmin;xmax): Jeffreys (log-flat) distribution between xmin and xmax. N(μ;σ): normal distribution with mean μ and standard deviation σ. B(a,b): beta distribution.
See Sect. 4.3.
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