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Table A.5

Parameters used in the analysis of K2-32 planets.

Parameter Prior Posterior

Dartmouth PARSEC
(adopted)
Stellar Parameters
Effective temperature Teff [K]
Surface gravity log g [cgs]
Iron abundance [Fe/H] [dex] − 0.06 ± 0.03 − 0.06 ± 0.03
Distance to Earth D [pc]
Interstellar extinction E(BV) [mag]
Systemic radial velocity γ [km s−1]
Linear limb-darkening coefficient ua (derived)
Quadratic limb-darkening coefficient ub (derived)
Stellar density ρρ (derived)
Stellar mass M [M] (derived)
Stellar radius R [R] (derived)
Stellar age τ [Gyr] (derived)

Planet e Parameters
Orbital Period Pe [d]
Transit epoch T0,e [BJD - 2 450 000]
Radial velocity semi-amplitude Ke [m s−1]
Orbital inclination ie [°] 89.0 ± 0.7 88.9 ± 0.7
Planet-to-star radius ratio ke
Orbital eccentricity ee
Argument of periastron ωe [°]
System scale aeR (derived)
Impact parameter be (derived)
Transit duration T14,e [h] (derived)
Semi-major axis ae [AU] (derived)
Planet mass Me [M] (derived)
Planet radius Re [R] (derived)
Planet bulk density ρe [g cm−3] (derived)

Planet b Parameters
Orbital Period Pb [d] 8.99200 ± 0.00008 8.99201 ± 0.00008
Transit epoch T0,b [BJD - 2 450 000]
Radial velocity semi-amplitude Kb [m s−1 ] 5.22 ± 0.60 5.22 ± 0.60
Orbital inclination ib [°]
Planet-to-star radius ratio kb
Orbital eccentricity eb
Argument of periastron ωb [°]
System scale abR (derived)
Impact parameter bb (derived)
Transit duration T14,b [h] (derived) 3.49 ± 0.02 3.49 ± 0.02
Semi-major axis ab [AU] (derived)
Planet mass Mb [M ] (derived)
Planet radius Rb [R ] (derived)
Planet bulk density ρb [g cm−3 ] (derived) 0.6 ± 0.1 0.6 ± 0.1

Planet c Parameters
Orbital Period Pc [d]
Transit epoch T0,c [BJD - 2 450 000]
Radial velocity semi-amplitude Kc [m s−1 ]
Orbital inclination ic [°]
Planet-to-star radius ratio kc
Orbital eccentricity ec
Argument of periastron ωc [°]
System scale acR (derived)
Impact parameter bc (derived)
Transit duration T14,c [h] (derived) 4.35 ± 0.05 4.35 ± 0.04
Semi-major axis ac [AU] (derived)
Planet mass Mc [M ] (derived)
Planet radius Rc [R ] (derived)
Planet bulk density ρc [g cm−3 ] (derived)

Planet d Parameters
Orbital Period Pd [d]
Transit epoch T0,d [BJD - 2 450 000]
Radial velocity semi-amplitude Kd [m s−1 ]
Orbital inclination id [°] 89.4 ± 0.1 89.4 ± 0.1
Planet-to-star radius ratio kd
Orbital eccentricity ed
Argument of periastron ωd [°]
System scale adR (derived)
Impact parameter bd (derived)
Transit duration T14,d [h] (derived)
Semi-major axis ad [AU] (derived)
Planet mass Md [M ] (derived)
Planet radius Rd [R ] (derived)
Planet bulk density ρd [g cm−3 ] (derived) 0.9 ± 0.3 0.8 ± 0.3

Instrument-related Parameters
HARPS jitter σjRV [m s−1 ]
HIRES jitter σjRV [m s−1 ]
PFS jitter σjRV [m s−1 ]
HIRES offset [km s−1 ]
PFS offset [km s−1 ]
K2 contamination [%]
K2 jitter σjK2 [ppm] 63.4 ± 1.7 63.4 ± 1.6
K2 out-of-transit flux
SED jitter [mag]

Notes. The respective priors are provided together with the posteriors for the Dartmouth and PARSEC stellar evolution tracks. The posterior values represent the median and 68.3% credible interval. Derived values that might be useful for follow-up work are also reported. ∙ : normal distribution with mean μ and width σ2; ∙ : uniform distribution between a and b; ∙ : sine distribution between a and b, corresponding to ; ∙ : truncated normal distribution with mean μ and width σ2, between a and b.

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