Table 3
Priors imposed on the hyper-parameters of the Gaussian process regression for the stars showing significant magnetic activity variations.
| System | Adopted GP kernel SE or QP | h [m s−1] | λ1 [day] | λ2 – | Prot [day] |
|---|---|---|---|---|---|
| Kepler-21 | QP | U [0, + ∞[ | U [0, 300] | U[0.1, 5] | U [10, 15] |
| Kepler-78 | QP | U [0, + ∞[ | U [0, 300] | U[0.1, 5] | U [0, 20] |
| Kepler-93 | SE | U[0, + ∞[ | U [0, 500] | – | – |
| Kepler-102 | QP | U[0, + ∞[ | λ1 > Prot/2 | U[0.1, 5] | U [15, 40] |
| K2-2/HIP116454 | SE | U[0, + ∞[ | U [0, 50] | – | – |
| K2-3 | QP | U[0, + ∞[ | U [20, 60] | U[0.1, 5] | U [35, 43] |
| K2-36 | QP | U[0, + ∞[ | U [0, 300] | U[0.1, 5] | U [15, 20] |
| K2-131 | QP | U[0, + ∞[ | U [0, 300] | U[0.1, 5] | U [5, 15] |
| K2-135/GJ9827 | QP | U[0, + ∞[ | U [0, 300] | U[0.1, 5] | U [25, 35] |
| K2-141 | QP | U[0, + ∞[ | λ1 > Prot/2 | U[0.1, 5] | U [10, 20] |
| K2-312/HD80653 | QP | U[0, + ∞[ | λ1 > Prot/2 | U[0.1, 5] | U [15, 25] |
Notes. From left to right, the columns report the name of the system, the adopted kernel for the covariance function – either squared exponential(SE) or quasi-periodic (QP) kernel – and the priors on the hyper-parameters of the covariance function, namely the radial-velocity semi-amplitude, h, the exponential decay time, λ1, the inverse harmonic complexity term, λ2, and the rotation period, Prot (the SE kernel has only the two hyper-parameters h and λ1). U stands for uniform (uninformative) prior.
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