TOI-4438 b: a transiting mini-Neptune amenable to atmospheric characterization

Open Access

Table 2

TOI-4438 b parameters from the transit light curve modeling with pyaneti.

Parameter	Prior	Derived value (multi-radii)	Derived value (single radius)
Model parameters
P_orb,b (days)	𝒰[7.2, 7.7]	7.4462801 ± 0.0000091	7.4462800 ± 0.0000087
T_0,b (BJD_TDB–2450 000)	𝒰[9396.16, 9396.66]	9396.4116 ± 0.0007	9396.4116 ± 0.0006
R_b/R_★	𝒰[0.001, 0.09]	⋯	${0.0619}_{- 0.0005}^{+ 0.0006}$ $0.0619_{ - 0.0005}^{ + 0.0006}$
R_b/R_★TESS	𝒰[0.001, 0.09]	0.0606 ± 0.0012	⋯
R_b/R_★MuSCAT2g′	𝒰[0.001, 0.09]	0.0678 ± 0.0026	⋯
R_b/R_★MuSCAT2r′	𝒰[0.001, 0.09]	0.0661 ± 0.0019	⋯
R_b/R_★MuSCAT2i′	𝒰[0.001, 0.09]	0.0622 ± 0.0013	⋯
R_b/R_★MuSCAT2 z_s	𝒰[0.001, 0.09]	0.0624 ± 0.0010	⋯
b_b	𝒰[0, 1]	${0.38}_{- 0.24}^{+ 0.16}$ $0.38_{ - 0.24}^{ + 0.16}$	${0.15}_{- 0.10}^{+ 0.14}$ $0.15_{ - 0.10}^{ + 0.14}$
a/R_★	𝒰[1, 50]	${28.6}_{- 4.9}^{+ 4.0}$ $28.6_{ - 4.9}^{ + 4.0}$	30±5
$\sqrt{e_{b}} \sin ω_{⋆, b}$ $\sqrt {{e_{\rm{b}}}} \sin {\omega _{ \star ,{\rm{b}}}}$	𝒰[−1,1]	$- {0.13}_{- 0.25}^{+ 0.38}$ $- 0.13_{ - 0.25}^{ + 0.38}$	$- {0.14}_{- 0.27}^{+ 0.40}$ $- 0.14_{ - 0.27}^{ + 0.40}$
$\sqrt{e_{b}} \cos ω_{⋆, b}$ $\sqrt {{e_{\rm{b}}}} \cos {\omega _{ \star ,{\rm{b}}}}$	𝒰[−1,1]	−0.004 ± 0.447	−0.02 ± 0.47

Derived parameters
R_b (R_⊕)	⋯	⋯	2.51 ± 0.12
R_b,TESS (R_⊕)	⋯	2.46 ± 0.13	⋯
R_{b,MuSCAT2g′} (R_⊕)	⋯	2.75 ± 0.17	⋯
R_{b,MuSCAT2r′} (R_⊕)	⋯	2.68 ± 0.15	⋯
R_{b,MuSCAT2i′} (R_⊕)	⋯	2.52 ± 0.13	⋯
$R_{b, MuSCAT 2 z_{s}} (R_{\oplus})$ ${R_{{\rm{b}},{\rm{MuSCAT}}2{{\rm{z}}_{\rm{s}}}}}\left( {{R_ \oplus }} \right)$	⋯	2.53 ± 0.13	⋯
a_b ^(au)	⋯	${0.0492}_{- 0.0086}^{+ 0.0074}$ $0.0492_{ - 0.0086}^{ + 0.0074}$	0.053 ± 0.009
e_b	⋯	${0.21}_{- 0.14}^{+ 0.24}$ $0.21_{ - 0.14}^{ + 0.24}$	${0.23}_{- 0.15}^{+ 0.25}$ $0.23_{ - 0.15}^{ + 0.25}$
ω_★,b (deg)	⋯	$- 34_{- 111}^{+ 134}$ $- 34_{ - 111}^{ + 134}$	$\begin{array}{r} - 37_{- 108}^{+ 139} \end{array}$ $\matrix{ \hfill { - 37_{ - 108}^{ + 139}} \cr }$
i_b ^(deg)	⋯	${89.22}_{- 0.53}^{+ 0.50}$ $89.22_{ - 0.53}^{ + 0.50}$	${89.71}_{- 0.21}^{+ 0.35}$ $89.71_{ - 0.21}^{ + 0.35}$
τ_14,b (h)	⋯	2 02 ± 0 03	2.01 ± 0.02
T_eq,b (K) ^(a)	⋯	$453_{- 30}^{+ 46}$ $453_{ - 30}^{ + 46}$	$438_{- 32}^{+ 45}$ $438_{ - 32}^{ + 45}$
S_b (S_⊕)	⋯	${7.04}_{- 1.7}^{+ 3.3}$ $7.04_{ - 1.7}^{ + 3.3}$	${6.1}_{- 1.6}^{+ 2.9}$ $6.1_{ - 1.6}^{ + 2.9}$

Additional model parameters
Parameterized limb-darkening coefficients
q_1,TESS	𝒩[0.276, 0.1]	0.30 ± 0.08	0.30 ± 0.08
q_2,TESS	𝒩[0.261, 0.1]	0.26 ± 0.10	0.26 ± 0.10
q_{1 ,MuSCAT2 g′}	𝒩[0.629, 0.1]	0.64± 0.10	0.64 ± 0.10
q_{2,MuSCAT2 g′}	𝒩[0.312, 0.1]	0.35 ± 0.10	0.35 ± 0.10
q_{1 ,MuSCAT2 r′}	𝒩[0.572, 0.1]	0.55 ± 0.16	0.55 ± 0.16
q_{2,MuSCAT2 r′}	𝒩[0.317, 0.1]	0.33 ± 0.10	0.33 ± 0.10
q_{1 ,MuSCAT2 i′}	𝒩[0.334, 0.1]	0.37 ± 0.08	0.37 ± 0.08
q_{2,MuSCAT2 i′}	𝒩[0.260, 0.1]	0.31 ± 0.10	0.31 ± 0.10
$q_{1, MuSCAT 2 z_{s}}$ ${q_{1,{\rm{MuSCAT}}2{{\rm{z}}_{\rm{s}}}}}$	𝒩[0.241, 0.1]	0.16 ± 0.08	0.16 ± 0.08
$q_{2, MuSCAT 2 z_{s}}$ ${q_{2,{\rm{MuSCAT}}2{{\rm{z}}_{\rm{s}}}}}$	𝒩[0.240, 0.1]	0.19 ± 0.10	0.19 ± 0.10

Jitter terms
σ _TESS	𝒥 [0,100]	0.000058 ± 0.000054	0.000058 ± 0.000054
σ_{MuS CAT2AT2 g′}	𝒥 [0,100]	0.00021 ± 0.00020	0.00021 ± 0.00020
σ_MuSCAT2r′	𝒥[0,100]	0.00030 ± 0.00026	0.00030 ± 0.00026
σ_{MuSCAT2 i′}	𝒥[0,100]	0.00014 ± 0.00012	0.00014 ± 0.00012
$σ_{MuSCAT 2 z}_{_{s}}$ ${\sigma _{{\rm{MuSCAT}}2{\rm{z}}}}_{_{\rm{s}}}$	𝒥 [0,100]	0.00018 ± 0.00026	0.00018 ± 0.00026

Notes. 𝒰[a, b] refers to uniform priors between a and b; 𝒩 [a, b] refers to Gaussian priors with mean a and standard deviation b; 𝒥 [a, b] refers to Jeffrey’s priors between a and b. Inferred parameters and uncertainties are defined as the median and the 68.3% credible interval of their posterior distributions. ^(a) Assuming zero albedo and uniform redistribution of heat.

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