Stellar obliquities of eight close-in gas giant exoplanets

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Volume 694 (February 2025)

A&A, 694 (2025) A91

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Table E.2

MCMC analysis results. 𝒩 denotes priors with a normal distribution and 𝒰 priors with a uniform distribution.

Parameter	Prior	WASP-48b	Prior	WASP-59b	Prior	WASP-140 Ab
T_c - 2450000 [d]	𝒩 (T₀, 0.006)	8289.542 ± 0.002	𝒩 (T₀,0.006)	7636.625 ± 0.003	𝒩 (T₀,0.006)	8394.809 ± 0.001
λ [deg]	𝒰(−180,180)	−4 ± 4	𝒰(−180,180)	$- 1_{- 21}^{+ 20}$ $- 1_{ - 21}^{ + 20}$	𝒰(−180,180)	−1 ± 3
v sin i. [km/s]	𝒰(0,15)	${8.4}_{- 0.9}^{+ 1.0}$ $8.4_{ - 0.9}^{ + 1.0}$	𝒰(0,15)	${0.39}_{- 0.13}^{+ 0.13}$ $0.39_{ - 0.13}^{ + 0.13}$	𝒰(0,15)	${3.0}_{- 0.5}^{+ 0.7}$ $3.0_{ - 0.5}^{ + 0.7}$
a / R_s	𝒩 (4.66,0.10)	4.71 ± 0.08	𝒩 (23.58, 0.94)	23.58 ± 0.93	𝒩 (8.58,0.10)	${8.32}_{- 0.10}^{+ 0.10}$ $8.32_{ - 0.10}^{ + 0.10}$
Inc. [deg]	𝒩 (82.03,0.5)	81.77 ± 0.4	𝒩 (88.60, 0.19)	${88.59}_{- 0.19}^{+ 0.19}$ $88.59_{ - 0.19}^{ + 0.19}$	𝒩 (84.3,0.5)	${84.16}_{- 0.20}^{+ 0.21}$ $84.16_{ - 0.20}^{ + 0.21}$
Γ [km/s]	?? (−19.72,0.20)	−19.718 ± 0.003	𝒩 (−56.70,0.20)	−56.699 ± 0.001	𝒩 (2.19,0.20)	2.185 ± 0.001
K [km/s]	𝒩 (0.14,0.20)	0.146 ± 0.005	𝒩 (0.14,0.20)	0.18 ± 0.02	𝒩 (0.40,0.20)	0.41 ± 0.05

Parameter	Prior	WASP-173 Ab	Prior	TOI-2046b	Prior	HAT-P-41 Ab

T_c - 2450000 [d]	𝒩 (T₀,0.006)	${8410.661}_{- 0.001}^{+ 0.001}$ $8410.661_{ - 0.001}^{ + 0.001}$	𝒩 (T₀,0.006)	${9852.404}_{- 0.002}^{+ 0.002}$ $9852.404_{ - 0.002}^{ + 0.002}$	𝒩 (T₀,0.006)	${7575.538}_{- 0.001}^{+ 0.001}$ $7575.538_{ - 0.001}^{ + 0.001}$
λ [deg]	𝒰(−180,180)	$9_{- 5}^{+ 5}$ $9_{ - 5}^{ + 5}$	𝒰(−180,180)	−1 ± 6	𝒰(−180, 180)	$- {4.4}_{- 5.6}^{+ 5.0}$ $- 4.4_{ - 5.6}^{ + 5.0}$
v sin i_* [km/s]	𝒰(0, 10)	${6.2}_{- 0.50}^{+ 0.55}$ $6.2_{ - 0.50}^{ + 0.55}$	𝒰(0,15)	${8.9}_{- 1.2}^{+ 1.3}$ $8.9_{ - 1.2}^{ + 1.3}$	𝒰(0,21)	15.8 ± 0.8
a/R_s	𝒩 (4.78,0.17)	${4.85}_{- 0, 14}^{+ 0.14}$ $4.85_{ - 0,14}^{ + 0.14}$	𝒩 (4.75,0.18)	${4.90}_{- 0.14}^{+ 0.14}$ $4.90_{ - 0.14}^{ + 0.14}$	𝒩 (5.44,0.10)	${5.58}_{- 0.12}^{+ 0.11}$ $5.58_{ - 0.12}^{ + 0.11}$
Inc. [deg]	𝒩(85.2,1.1)	${84.78}_{- 0.84}^{+ 0.88}$ $84.78_{ - 0.84}^{ + 0.88}$	𝒩 (83.6,0.9)	${82.68}_{- 0.68}^{+ 0.71}$ $82.68_{ - 0.68}^{ + 0.71}$	𝒩(87.7,1.0)	${87.15}_{- 0.82}^{+ 1.02}$ $87.15_{ - 0.82}^{ + 1.02}$
Γ [km/s]	𝒩 (−7.71,0.20)	-7.763±0.003	𝒩 (−20.64,0.20)	-20,636±0.007	𝒩 (32.61,0.20)	32,618±0.005
K [km/s]	𝒩 (0.64,0.20)	0.612 ± 0.005	𝒩 (0.37,0.20)	0.36 ± 0.02	𝒩 (0.19,0.20)	0.19 ± 0.02

Parameter	Prior	HAT-P-50b	Prior	Qatar-4b

T_c - 2450000 [d]	𝒩 (T₀,0.006)	${7737.6514}_{- 0.003}^{+ 0.003}$ $7737.6514_{ - 0.003}^{ + 0.003}$	𝒩 (T₀,0.006)	${8058.423}_{- 0.002}^{+ 0.002}$ $8058.423_{ - 0.002}^{ + 0.002}$
λ [deg]	𝒰(−180,180)	$41_{- 9}^{+ 10}$ $41_{ - 9}^{ + 10}$	𝒰(−180,180)	$- 13_{- 19}^{+ 15}$ $- 13_{ - 19}^{ + 15}$
v sin i_* [km/s]	𝒰(0,15)	${8.5}_{- 1.4}^{+ 1.5}$ $8.5_{ - 1.4}^{ + 1.5}$	𝒰(0,15)	${5.1}_{- 0.9}^{+ 1.0}$ $5.1_{ - 0.9}^{ + 1.0}$
a/R_s	𝒩 (5.68,0.19)	${5.61}_{- 0, 19}^{+ 0.18}$ $5.61_{ - 0,19}^{ + 0.18}$	𝒩 (7.1,0.5)	${7.25}_{- 0.40}^{+ 0.43}$ $7.25_{ - 040}^{ + 0.43}$
Inc. [deg]	𝒩 (83.65,0.57)	${83.86}_{- 0.50}^{+ 0.53}$ $83.86_{ - 0.50}^{ + 0.53}$	𝒩 (87.5,1.6)	${87.45}_{- 1.42}^{+ 1.68}$ $87.45_{ - 1.42}^{ + 1.68}$
Γ [km/s]	𝒩 (6.48,0.20)	6,448±0.005	𝒩 (−28.74,0.20)	-28,751 ± 0.008
K [km/s]	𝒩 (0.20,0.20)	0,18 ±0.03	𝒩 (1.00,0.20)	0.94 ± 0.03

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