Table 1
Summary of RV models and adopted priors.
| Parameter | Prior |
|
|
|
| Model 1 | |
| (2 planets + GP trained on y = K2 photometry) | |
| GP hyperparameters | |
| Covariance amplitude, a [m s-1] |
|
| Exponential timescale, λ [days] | p(λ | y) |
| Coherence, Γ | p(Γ | y) |
| Periodic timescale, PGP [days] | p(PGP | y) |
| Additive jitter, s [m s-1] |
|
| Keplerian parameters | |
| γ0 [m s-1] |
|
| Pb [days] |
|
| T0,b [BJD-2 450 000] |
|
| Kb [m s-1] |
|
|
|
|
|
| Pc [days] |
|
| T0,c [BJD-2 450 000] |
|
| Kc [m s-1] |
|
|
|
|
|
| Model 2 | |
| (2 planets + GP trained on y = BIS) | |
| see Model 1 | |
| Model 3 | |
| (2 planets + untrained GP) | |
| see Model 1 with the | |
| following modifications: | |
| ln Exponential timescale, lnλ [days] |
|
| ln Coherence, lnΓ |
|
| ln Periodic timescale, lnPGP [days] |
|
| Model 4 | |
| (2 planets) | |
| see Keplerian parameters in Model 1 | |
Notes. 
refers to a non-informative Jeffreys prior which is scale invariant; equal probability per decade which is necessary to sample multiple orders of magnitude (Gregory 2005). (◦) based on the transit light curve measurements from B17. (∗)
m s-1 refers to a modified Jefferys prior on a parameter A which behaves like a uniform prior for A ≪ the knee at k m s-1 and behaves like a Jeffreys prior at A ≫ k up to l. We use a modified Jeffreys prior on the RV semi-amplitudes K to sample multiple decades as a Jeffreys prior but also include K = 0 m s-1 which a Jeffreys prior does not (Gregory 2005). (†) We further insist that e = h2 + k2 < 1.
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