Atmospherix - III. Estimating the C/O ratio and molecular dynamics at the limbs of WASP-76 b with SPIRou

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Volume 687 (July 2024)

A&A, 687 (2024) A119

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Table 2

Priors used in our nested sampling algorithm through this paper, and posteriors found in Sects. 4.1 (Post. 1), 4.2 (Post. 2), 4.3 (Post. 3), 4.4 (Post. 4), and 5.1.2 (Post. 5).

Parameter	Prior	Post. 1	Post. 2	Post. 3	Post. 4	Post 5
K_p (km s⁻¹)	𝒰(100,300)	${179.8}_{- 9.05}^{+ 10.40}$ $179.8_{ - 9.05}^{ + 10.40}$	${177.6}_{- 6.31}^{+ 9.42}$ $177.6_{ - 6.31}^{ + 9.42}$	${177.4}_{- 7.46}^{+ 9.53}$ $177.4_{ - 7.46}^{ + 9.53}$	${179.7}_{- 7.09}^{+ 5.97}$ $179.7_{ - 7.09}^{ + 5.97}$	${180.5}_{- 8.70}^{+ 10.80}$ $180.5_{ - 8.70}^{ + 10.80}$
V₀ (km s⁻¹)	𝒰(−30, 10)	$- {6.18}_{- 1.60}^{+ 0.79}$ $- 6.18_{ - 1.60}^{ + 0.79}$	$- {5.96}_{- 1.28}^{+ 0.73}$ $- 5.96_{ - 1.28}^{ + 0.73}$	$- {5.84}_{- 1.50}^{+ 0.64}$ $- 5.84_{ - 1.50}^{ + 0.64}$	$- {5.97}_{- 0.98}^{+ 0.76}$ $- 5.97_{ - 0.98}^{ + 0.76}$	$- {6.08}_{- 1.80}^{+ 0.65}$ $- 6.08_{ - 1.80}^{ + 0.65}$
log(H₂O)	𝒰(−8,−1)	$- {4.53}_{- 0.22}^{+ 1.34}$ $- 4.53_{ - 0.22}^{ + 1.34}$	$- {4.58}_{- 0.23}^{+ 0.20}$ $- 4.58_{ - 0.23}^{ + 0.20}$	$- {4.56}_{- 0.27}^{+ 0.18}$ $- 4.56_{ - 0.27}^{ + 0.18}$	$- {4.71}_{- 0.22}^{+ 0.20}$ $- 4.71_{ - 0.22}^{ + 0.20}$	–
log(CO)	𝒰(−8,−1)	$- {3.10}_{- 1.21}^{+ 0.89}$ $- 3.10_{ - 1.21}^{ + 0.89}$	$- {3.28}_{- 1.05}^{+ 0.54}$ $- 3.28_{ - 1.05}^{ + 0.54}$	$- {3.02}_{- 1.22}^{+ 0.22}$ $- 3.02_{ - 1.22}^{ + 0.22}$	$- {3.38}_{- 1.20}^{+ 0.46}$ $- 3.38_{ - 1.20}^{ + 0.46}$	–
log(C₂H₂)	𝒰(−12,−1)	–	<−5.0	–	–	–
log(HCN)	𝒰(−12,−1)	–	<−5.5	–	–	–
log(OH)	𝒰(−12,−1)	–	–	<−6.0	–	–
T_iso (K)	𝒰(500,5000)	$1355_{- 321}^{+ 305}$ $1355_{ - 321}^{ + 305}$	fixed	fixed	fixed	$1356_{- 342}^{+ 259}$ $1356_{ - 342}^{ + 259}$
P_cloud (bar)	𝒰(−8,2)	${1.08}_{- 2.84}^{+ 0.30}$ $1.08_{ - 2.84}^{ + 0.30}$	–	–	–	${0.82}_{- 2.89}^{+ 0.51}$ $0.82_{ - 2.89}^{ + 0.51}$
υ_rot (m s⁻¹)	𝒰(100,10 000)	fixed	fixed	fixed	$3544_{- 1994}^{+ 1108}$ $3544_{ - 1994}^{ + 1108}$	fixed
C/O	𝒰(0, 1)	–	–	–	–	${0.90}_{- 0.51}^{+ 0.01}$ $0.90_{ - 0.51}^{ + 0.01}$
$[\frac{(C + O)}{H}]$ $\left[ {{{({\rm{C}} + {\rm{O}})} \over {\rm{H}}}} \right]$	𝒰(−6, 1.4)	–	–	–	–	$- {1.47}_{- 0.47}^{+ 1.42}$ $- 1.47_{ - 0.47}^{ + 1.42}$

Notes. The abundances are in MMR; we use ‘log’ for decimal logarithms, and 𝒰 stands for a uniform distribution. Hyphens indicate that the parameter was not considered in the input parameters of the corresponding retrieval. The fixed values of T_iso and υ_rot are, respectively, 1500 K and 5210 ms⁻¹.

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