Three super-Earths and a possible water world from TESS and ESPRESSO

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Volume 688 (August 2024)

A&A, 688 (2024) A216

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Table 6

Prior and posterior planetary parameter distributions for TOI-286, for two planets with free eccentricity.

Parameter	Prior	Posterior
P_p1 (d)	𝒩(4.5,0.1)	${4.5117244}_{- 0.0000027}^{+ 0.0000028}$ $4.5117244_{ - 0.0000027}^{ + 0.0000028}$
t_0,p1 (BJD)	𝒩(2460186.63,0.1)	${2460186.64917}_{- 0.000689}^{+ 0.00068}$ $2460186.64917_{ - 0.000689}^{ + 0.00068}$
p_p1	𝒩(0.02,0.1)	${0.01656}_{- 0.00043}^{+ 0.00052}$ $0.01656_{ - 0.00043}^{ + 0.00052}$
b_p1	𝒰(0, 1)	${0.56}_{- 0.15}^{+ 0.11}$ $0.56_{ - 0.15}^{ + 0.11}$
$\sqrt{e} \sin ω_{p 1}$ $\sqrt e \sin {\omega _{{\rm{p}}1}}$	𝒰(0, 1)	${0.24}_{- 0.15}^{+ 0.16}$ $0.24_{ - 0.15}^{ + 0.16}$
$\sqrt{e} \cos ω_{p 1}$ $\sqrt e \cos {\omega _{{\rm{p}}1}}$	𝒰(0, 1)	0.24 ± 0.13
K_p1 (ms⁻¹)	𝒰(0, 10)	${1.96}_{- 0.29}^{+ 0.33}$ $1.96_{ - 0.29}^{ + 0.33}$
P_p2 (d)	𝒩(39.4,0.1)	${39.361812}_{- 0.000063}^{+ 0.000058}$ ${39.361812_{ - 0.000063}^{ + 0.000058}}$
t_0,p2 (BJD)	𝒩(2460155.0,0.1)	${2460155.0247}_{- 0.0018}^{+ 0.0017}$ ${2460155.0247_{ - 0.0018}^{ + 0.0017}}$
p_p2	𝒩(0.02,0.1)	${0.02196}_{- 0.00040}^{+ 0.00043}$ ${0.02196_{ - 0.00040}^{ + 0.00043}}$
b_p2	𝒰(0, 1)	${0.29}_{- 0.17}^{+ 0.18}$ ${0.29_{ - 0.17}^{ + 0.18}}$
$\sqrt{e} \sin ω_{p 2}$ $\sqrt e \sin {\omega _{{\rm{p}}2}}$	𝒰(0, 1)	${0.16}_{- 0.10}^{+ 0.13}$ $0.16_{ - 0.10}^{ + 0.13}$
$\sqrt{e} \cos ω_{p 2}$ $\sqrt e \cos {\omega _{{\rm{p}}2}}$	𝒰(0, 1)	${0.23}_{- 0.15}^{+ 0.20}$ $0.23_{ - 0.15}^{ + 0.20}$
K_p2 (ms⁻¹)	𝒰(0, 10)	${1.01}_{- 0.64}^{+ 0.72}$ $1.01_{ - 0.64}^{ + 0.72}$
ρ (kg m⁻³)	𝒥(100, 10 000)	${2465.8}_{- 612.6}^{+ 495.8}$ ${2465.8_{ - 612.6}^{ + 495.8}}$
q_1,TESS	𝒰(0, 1)	${0.43}_{- 0.18}^{+ 0.23}$ ${0.43_{ - 0.18}^{ + 0.23}}$
q_2,TESS	𝒰(0, 1)	${0.32}_{- 0.20}^{+ 0.31}$ $0.32_{ - 0.20}^{ + 0.31}$
µ_ESPRESSO18 (ms⁻¹)	𝒰(17774.8, 17785.3)	1780.2±1.2
σ_w,ESPRESSO18 (ms⁻¹)	𝒥(0.001, 10.0)	${1.34}_{- 0.45}^{+ 0.67}$ ${1.34_{ - 0.45}^{ + 0.67}}$
µ_ESPRESSO19 (ms⁻¹)	𝒰(17774.8, 17785.3)	${17780.0}_{- 1.2}^{+ 1.1}$ ${17780.0_{ - 1.2}^{ + 1.1}}$
σ_w,ESPRESSO19 (ms⁻¹)	𝒥(0.001, 10)	${1.40}_{- 0.28}^{+ 0.30}$ $1.40_{ - 0.28}^{ + 0.30}$
ρ_HARPS	𝒰(−0.71, 3.13)	1.0 ± 1.0
^σ_w,HARPS	𝒥(0.001, 10)	${0.13}_{- 0.12}^{+ 0.97}$ ${0.13_{ - 0.12}^{ + 0.97}}$
σ_GP,rv	𝒯𝒩(3.87,0.85,0, 1000)	${2.94}_{- 0.58}^{+ 0.52}$ ${2.94_{ - 0.58}^{ + 0.52}}$
α_GP,rv	𝒯𝒩(0.00124,0.00056,0, 1000)	${0.00096}_{- 0.00040}^{+ 0.00047}$ ${0.00096_{ - 0.00040}^{ + 0.00047}}$
r_GP,rv	𝒯𝒩(0.54,0.435,0, 1000)	${1.05}_{- 0.34}^{+ 0.39}$ $1.05_{ - 0.34}^{ + 0.39}$
P_rot,GP,rv	𝒩(35.9,4.2)	36.8 ± 1.8

e_p1	–	${0.144}_{- 0.073}^{+ 0.093}$ ${0.144_{ - 0.073}^{ + 0.093}}$
ω_p1 (º )	–	${45.1}_{- 28.7}^{+ 24.7}$ $45.1_{ - 28.7}^{ + 24.7}$
a_p1 (au)	–	0.0503 ± 0.001
i_p1 (º)	–	87.39 ± 0.76
T_14,p1 (h)	–	2.11 ± 0.27
M_p1 (M_⊕)	–	4.48 ± 0.78
R_p1 (R_⊕)	–	1.41 ± 0.08
P_p1 (gcm⁻³)	–	8.81 ± 2.12
T_eq,p1 (K)	–	981.0 ± 32.0
e_p2	–	${0.11}_{- 0.07}^{+ 0.11}$ ${0.11_{ - 0.07}^{ + 0.11}}$
ω_p2 (º)	–	${33.9}_{- 23.6}^{+ 36.2}$ $33.9_{ - 23.6}^{ + 36.2}$
a_p2 (au)	–	0.213 ± 0.0042
i_p2 (º)	–	89.7 ± 0.19
T_14,p2 (h)	–	5.02 ± 0.37
M_p2 (M_⊕)	–	4.75 ± 3.02
R_p2 (R_⊕)	–	1.87 ± 0.09
P_p2 (gcm⁻³)	–	4.0 ± 2.61
T_eq,p2 (K)	–	476.0 ± 15.0
logZ	–	215 560.0 ± 0.5

Notes. Obtained with juliet, using the $(\sqrt{e} \sin ω, \sqrt{e} \cos ω)$ $(\sqrt e \sin \omega ,\sqrt e \cos \omega )$ parametrisation, with a limiting eccentricity of 0.7. Top: fitted parameters. Bottom: derived orbital parameters and physical parameters.

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