Table 3
Different model components that were investigated in this work.
Parameter name | Prior | Units | Description |
---|---|---|---|
White noise | |||
γSIM | 𝒰(−10, 10) | m s−1 | Velocity zero-point for simulated data set |
σSIM | 𝒥(0.01, 10) | m s−1 | Extra jitter term for simulated data set |
GP Prior I (wide priors) | |||
σGP, RV | 𝒰(0, 40) | m s−1 | Amplitude of GP component for RVs |
ΓGP,RV | 𝒥(10−2, 101) | … | Amplitude of GP sine-squared component for RVs |
lGP, RV | 𝒥(1, 105) | days | Length scale of GP exponential component for RVs(a) |
Prot, GP,RV | 𝒰(3, 110) | days | Period of the GP quasi-periodic component for RVs |
GP Prior II (length scale constrained) | |||
σGP, RV | 𝒰(0, 40) | m s−1 | Amplitude of GP component for RVs |
ΓGP, RV | 𝒥 (10−1, 101) | … | Amplitude of GP sine-squared component for RVs |
lGP,RV | ![]() |
days | Length scale of GP exponential component for RVs(a) |
Prot, GP,RV | 𝒰(3, 110) | days | Period of the GP quasi-periodic component for RVs |
GP Prior III (period constrained) | |||
σGP, RV | 𝒰(0, 40) | m s−1 | Amplitude of GP component for RVs |
ΓGP, RV | 𝒥(10−1, 101) | … | Amplitude of GP sine-squared component for RVs |
lGP, RV | 𝒥(1, 105) | days | Length scale of GP exponential component for RVs(a) |
Prot, GP,RV | 𝒩(22, 2.2) | days | Period of the GP quasi-periodic component for RVs |
GP Prior IV (length scale and period constrained) | |||
σGP, RV | 𝒰(0, 40) | m s−1 | Amplitude of GP component for RVs |
ΓGP, RV | 𝒥 (10−1, 101) | … | Amplitude of GP sine-squared component for RVs |
lGP, RV | ![]() |
days | Length scale of GP exponential component for RVs(a) |
Prot, GP,RV | 𝒩(22, 2.2) | days | Period of the GP quasi-periodic component for RVs |
KX (where X is given in days) | |||
Pb | 𝒰(X − 0.1X, X + 0.1X) | days | Period |
t0,b − 2450000 | 𝒰(2458620., 2458620. + 1.1X) | days | Time of transit center |
Kb | 𝒰(0, 40) | m s−1 | RV semi-amplitude |
![]() |
𝒰(−1, 1) | … | Parametrization for e and ω |
![]() |
𝒰(−1, 1) | … | Parametrization for e and ω |
Notes. (a)In juliet, the length scale parameter is parameterized by its inverse as described in Appendix A. For better understanding, however, we give the direct length scale. The prior labels 𝒰, 𝒩, and 𝒥 represent uniform, Normal and Jeffrey’s distributions (Jeffreys 1946). The x represents either 5.12 days, 30.35 days or 44 days regarding the period of the Kepler signal. The white noise model is always applied on top of the other models in this table.
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