TOI-5108 b and TOI 5786 b: Two transiting sub-Saturns detected and characterized with TESS, MaHPS, and SOPHIE

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Table 4

Priors and final parameter values from the juliet fit of TOI-5108.

Parameter name	Prior	Derived values	Description
Fitting parameters
P(d)	𝒰[6.7,6.8]	${6.753581}_{- 0.000007}^{+ 0.000007}$ $6.753581_{ - 0.000007}^{ + 0.000007}$	Orbital Period
T₀ (BJD_TDB − 2457000)	𝒰[2569.1,2569.8]	${2569.4778}_{- 0.0005}^{+ 0.0005}$ $2569.4778_{ - 0.0005}^{ + 0.0005}$	Time of Mid-Transit
R_p/R_*	𝒰[0.001,1]	${0.0472}_{- 0.0007}^{+ 0.0007}$ $0.0472_{ - 0.0007}^{ + 0.0007}$	Planet-to-star radius ratio
b	𝒰[0,1]	${0.871}_{- 0.010}^{+ 0.009}$ $0.871_{ - 0.010}^{ + 0.009}$	Impact parameter
$\sqrt{e}$ $\sqrt e$ sin ω	fixed	0	Parametrization of e and ω
$\sqrt{e}$ $\sqrt e$ cos ω	fixed	0	Parametrization of e and ω
K (ms⁻¹)	𝒰[0,40]	${9.9}_{- 1.3}^{+ 1.4}$ $9.9_{ - 1.3}^{ + 1.4}$	RV amplitude
ρ_* (kg/m³)	𝒩[720,90]	$745_{- 70}^{+ 80}$ $745_{ - 70}^{ + 80}$	Stellar Density
Instrumental parameters
q_1,TESS	𝒩[0.28,0.1]	${0.26}_{- 0.06}^{+ 0.06}$ $0.26_{ - 0.06}^{ + 0.06}$	Limb-darkening parameter
q_2,TESS	𝒩[0.33,0.1]	${0.40}_{- 0.1}^{+ 0.10}$ $0.40_{ - 0.1}^{ + 0.10}$	Limb-darkening parameter
µ_MaHPS (ms⁻¹)	𝒰[−100,100]	${3.2}_{- 1.3}^{+ 1.3}$ $3.2_{ - 1.3}^{ + 1.3}$	Relative offset MaHPS
µ_SOPHIE (ms⁻¹)	𝒰[−35000, −34000]	$- {34692.7}_{- 1.3}^{+ 1.3}$ $- 34692.7_{ - 1.3}^{ + 1.3}$	Relative offset SOPHIE
σ_MaHPS (m s⁻¹)	ℒ[0.001,100]	${11.5}_{- 1.1}^{+ 1.2}$ $11.5_{ - 1.1}^{ + 1.2}$	MaHPS jitter term
σ_SOPHIE (ms⁻¹)	ℒ[0.001,100]	${6.2}_{- 1.0}^{+ 1.2}$ $6.2_{ - 1.0}^{ + 1.2}$	SOPHIE jitter term

TOI-5108 b parameters
a/R_*		${12.2}_{- 0.4}^{+ 0.4}$ $12.2_{ - 0.4}^{ + 0.4}$	Scaled semi-major axis
a (au)		0.073 ± 0.004	Semi-major axis
T₁₄ (h)		2.2 ± 0.1	Transit duration of TOI-5108 b
i (°)		85.91 ± 0.14	Orbital Inclination
R_p(R_⊕)		6.6 ± 0.1	Radius of TOI-5108 b
Mp (M_⊕)		32±5	Mass of TOI-5108 b
ρ_p (kg/m³)		600 ± 90	Bulk density of TOI-5108 b
T_eq (K)		1180± 40	Equilibrium temperature of TOI-5108 b

Notes. U indicates a uniform prior while N and L indicate normal and log-normal priors respectively. The derived values are taken from the circular model as such the eccentricity and the argument of periastron are fixed.

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