ATREIDES - II. Detection of a polar orbit for HAT-P-26 b, a fluffy planet in the Neptunian ridge

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Table C.1

Priors used and results obtained for the main planetary parameters from the NGTS transit fit.

Parameter	Symbol	Unit	Prior	Result
Fitted Parameters
Transit epoch	T₀	BJD	U(2459763.52, 2459763.64)	2459763.5809 ± 0.0008
Orbital Period	P_orb	days	N(4.23450020, 0.00000064)	4.2345002 ± 0.0000006
Planet-to-Star Radius Ratio	R_P/R_⋆		U(0, 1)	${0.0683}_{- 0.0027}^{+ 0.0035}$ $Mathematical equation: $0.0683^{+0.0035}_{-0.0027}$$
Scaled Semi-Major Axis	a/R_⋆		U(1.1, inf)	${12.1}_{- 2.1}^{+ 2.0}$ $Mathematical equation: $12.1^{+2.0}_{-2.1}$$
Orbital Inclination	i	degrees	U(0, 90)	${87.7}_{- 2.0}^{+ 1.6}$ $Mathematical equation: $87.7^{+1.6}_{-2.0}$$
Orbital Eccentricity	e		*T N*(0.124, 0.06, 0, 0.6)	${0.127}_{- 0.061}^{+ 0.060}$ $Mathematical equation: $0.127^{+0.060}_{-0.061}$$
Argument of Periastron	ω	degrees	*T N*(54, 165, −180, 180)	$44_{- 113}^{+ 80}$ $Mathematical equation: $44^{+80}_{-113}$$
Kipping Limb-Darkening Parameter 1	q₁		U(0, 1)	${0.41}_{- 0.25}^{+ 0.36}$ $Mathematical equation: $0.41^{+0.36}_{-0.25}$$
Kipping Limb-Darkening Parameter 2	q₂		U(0, 1)	${0.28}_{- 0.19}^{+ 0.32}$ $Mathematical equation: $0.28^{+0.32}_{-0.19}$$
Derived Parameters
Linear Limb-Darkening Coefficient	u₁			${0.34}_{- 0.23}^{+ 0.28}$ $Mathematical equation: $0.34^{+0.28}_{-0.23}$$
Quadratic Limb-Darkening Coefficient	u₂			${0.26}_{- 0.35}^{+ 0.37}$ $Mathematical equation: $0.26^{+0.37}_{-0.35}$$
Impact Parameter	b			${0.49}_{- 0.32}^{+ 0.25}$ $Mathematical equation: $0.49^{+0.25}_{-0.32}$$
U(Min, Max) denotes the use of a uniform prior bounded by the Min and Max values N(µ, σ) denotes the use of a Normal prior with a mean value µ and variance σ² *T N(µ, σ, Min, Max) denotes the use of a Truncated Normal prior with µ, σ*, Min, Max following the same notation as above

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