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Table 4

Model parameters for the L 98-59 three-planet system.

Three-planet model plus GP Three-planet model plus an
activity model trained on Hα untrained GP activity model
   
ln Bayesian evidence, − 411.5 − 410.3

Systemic velocity, γ0 (m s−1) − 5678.4 ± 0.2 − 5678.3 ± 0.3

GP hyperparameters
Covariance amplitude, a (m s−1)
Exponential timescale, λ (days)
Coherence, Γ
Periodic timescale, PGP (days)
Additive jitter, s (m s−1)

Measured parameters
L 98-59b (TOI-175.03)
Orbital period, Pb (days) 2.2531 ± 0.0004
Time of mid-transit, T0,b [BJD-2 457 000] 1366.1708 ± 0.0001
Semi-amplitude, Kb (m s−1)* <1.06 <1.07
0.03 ± 0.22 − 0.07 ± 0.24
− 0.01 ± 0.22 − 0.06 ± 0.26
L 98-59c (TOI-175.01)
Orbital period, Pc (days) 3.6904 ± 0.0003
Time of mid-transit, T0,c [BJD-2 457 000] 1367.2752 ± 0.0006
Semi-amplitude, Kc (m s−1) 2.21 ± 0.28 2.13 ± 0.32
0.08 ± 0.15 − 0.05 ± 0.16
0.01 ± 0.19 0.04 ± 0.22
L 98-59d (TOI-175.02)
Orbital period, Pd (days) 7.4512 ± 0.0007
Time of mid-transit, T0,d [BJD-2 457 000] 1362.7376 ± 0.0009
Semi-amplitude, Kd (m s−1) 1.67 ± 0.31 1.59 ± 0.38
− 0.04 ± 0.20 0.02 ± 0.18
0.08 ± 0.25 − 0.01 ± 0.23

Derived parameters
L 98-59b (TOI-175.03)
Semi-major axis, ab (AU) 0.02282 ± 0.00008
Equilibrium temperature, Teq,b (K)
Bond albedo = 0 610 ± 13
Bond albedo = 0.3 558 ± 12
Planet radius, rp,b (R) (†) 0.80 ± 0.05
Planet mass, mp,b (M) (*) <1.01 <1.01
Bulk density, ρb (g cm−3) (*) <12.7 <13.1
Surface gravity, gb (m s−2) (*) <16.1 <17.1
Escape velocity, vesc,b (km s−1) (*) <14.3 <14.7
Eccentricity, eb (‡) <0.12 <0.15
L 98-59c (TOI-175.01)
Semi-major axis, ac (AU) 0.0317 ± 0.0001
Equilibrium temperature, Teq,c (K)
Bond albedo = 0 517 ± 11
Bond albedo = 0.3 473 ± 10
Planet radius, rp,c (R) (†) 1.35 ± 0.07
Planet mass, mp,c (M)
Bulk density, ρc (g cm−3)
Surface gravity, gc (m s−2)
Escape velocity, vesc,c (km s−1) 15.0 ± 1.1 14.8 ± 1.2
Eccentricity, ec (‡) < 0.07 < 0.07
L 98-59d (TOI-175.02)
Semi-major axis, ad (AU) 0.0506 ± 0.0002
Equilibrium temperature, Teq,d (K)
Bond albedo = 0 409 ± 8
Bond albedo = 0.3 374 ± 8
Planet radius, rp,d (R) (†) 1.57 ± 0.14
Planet mass, mp,d (M)
Bulk density, ρd (g cm−3)
Surface gravity, gd (m s−2)
Escape velocity, vesc,d (km s−1) 13.6 ± 1.5
Eccentricity, ed (‡) <0.09 <0.08
     

Notes. (*) Upper limit given by the 95% confidence interval. (†)Planetary radii from K19. (‡)Upper limit given by the 95% confidence interval derived from the joint RV and dynamical stability analyses.

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