Precise characterisation of HD 15337 with CHEOPS: A laboratory for planet formation and evolution

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Volume 686 (June 2024)

A&A, 686 (2024) A282

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Table A.1

Priors used for the joint transit and RV modelling and corresponding posteriors from the best-fit model.

Parameters	Prior	Best-fit
Transit model parameters
ρ_★ (ρ_⊙)	𝒩 (1.344, 0.076)	${1.334}_{- 0.079}^{+ 0.075}$ $1.334_{ - 0.079}^{ + 0.075}$
u_1,TESS	𝒩 (0.47621, 0.00145)	${0.4761}_{- 0.0012}^{+ 0.0015}$ $0.4761_{ - 0.0012}^{ + 0.0015}$
u_2,TESS	𝒩 (0.12172, 0.00220)	${0.1219}_{- 0.0027}^{+ 0.0024}$ $0.1219_{ - 0.0027}^{ + 0.0024}$
u_1,CHEOPS	𝒩 (0.61973, 0.00133)	${0.6198}_{- 0.0012}^{+ 0.0013}$ $0.6198_{ - 0.0012}^{ + 0.0013}$
u_2,CHEOPS	𝒩 (0.0696, 0.00182)	${0.0696}_{- 0.0019}^{+ 0.0018}$ $0.0696_{ - 0.0019}^{ + 0.0018}$

RV model parameters
υ₀ (km s⁻¹)	𝒰(−4.0, 0.0)	$- {3.8292}_{- 0.0042}^{+ 0.0033}$ $- 3.8292_{ - 0.0042}^{ + 0.0033}$

Model parameters of HD 15337 b
R_b/R_★	𝒰(0.01, 0.03)	${0.01898}_{- 0.00026}^{+ 0.00030}$ $0.01898_{ - 0.00026}^{ + 0.00030}$
P_b (days)	𝒰(4.7555, 4.7565)	${4.7559804}_{- 0.0000037}^{+ 0.000062}$ $4.7559804_{ - 0.0000037}^{ + 0.000062}$
T_0,b (BJD-2457000)	𝒰(1411.457,1411.467)^a	${1411.4623}_{- 0.0013}^{+ 0.0008}$ $1411.4623_{ - 0.0013}^{ + 0.0008}$
e_b	y3(0.867, 3.03)	${0.058}_{- 0.016}^{+ 0.022}$ $0.058_{ - 0.016}^{ + 0.022}$
b_b	𝒰(0.0, 2.0)	${0.17}_{- 0.11}^{+ 0.13}$ $0.17_{ - 0.11}^{ + 0.13}$
K_b (km s⁻¹)	𝒰(0.0, 0.01)	0.00282 ± 0.00015

Model parameters of HD 15337 c
R_c/R_★	𝒰(0.01, 0.04)	${0.02707}_{- 0.00077}^{+ 0.00091}$ $0.02707_{ - 0.00077}^{ + 0.00091}$
P_c (days)	𝒰(17.180, 17.181)	${17.180546}_{- 0.000026}^{+ 0.000021}$ $17.180546_{ - 0.000026}^{ + 0.00021}$
T_0,b (BJD-2457000)	𝒰(1414.545,1414.555)^a	${2458414.55162}_{- 0.0014}^{+ 0.0015}$ $2458414.55162_{ - 0.0014}^{ + 0.0015}$
e_c	β(0.867, 3.03)	${0.096}_{- 0.045}^{+ 0.059}$ $0.096_{ - 0.045}^{ + 0.059}$
b_c	𝒰(0.0, 2.0)	${0.89}_{- 0.07}^{+ 0.08}$ $0.89_{ - 0.07}^{ + 0.08}$
K_c (km s⁻¹)	𝒰(0.0, 0.01)	${0.00192}_{- 0.00032}^{+ 0.00036}$ $0.00192_{ - 0.00032}^{ + 0.00036}$

Additional RV model parameters
ΔRV_{HARPS_1} (km s⁻¹)	𝒩(0.022, 0.01)	${0.0187}_{- 0.0019}^{+ 0.0020}$ $0.0187_{ - 0.0019}^{ + 0.0020}$
Jitter σ_{HARPS_0}	𝒰(0.0, 0.0035)	0.0009±0.0003
Jitter σ_{HARPS_1}	𝒰(0.0, 0.0035)	${0.0020}_{- 0.0004}^{+ 0.0005}$ $0.0020_{ - 0.0004}^{ + 0.0005}$
Jitter σ_{HARPS_2}	𝒰(0.0, 0.0035)	${0.0009}_{- 0.0003}^{+ 0.0004}$ $0.0009_{ - 0.0003}^{ + 0.0004}$
ΔRV_PFS (km s⁻¹)	𝒩 (3.815, 0.01)	3.8137 ± 0.0021
Jitter σ_PFS	𝒰(0.0, 0.0035)	0.0011±0.0002
P_sin (days)	𝒰(5500, 170000)	$19557_{- 2612}^{+ 3425}$ $19557_{ - 2612}^{ + 3425}$
K_sin (km s⁻¹)	𝒰(0, 0.025)	${0.0177}_{- 0.0038}^{+ 0.0044}$ $0.0177_{ - 0.0038}^{ + 0.0044}$
$\log R_{HK, 0}^{'}$ $\log R_{{\rm{HK}},0}^\prime$	𝒩 (−4.95, 0.2)	−4.999 ± 0.023
$\log R_{HK, drift1}^{'} (d^{- 1})$ $\log R_{{\rm{HK}},{\rm{ drift1 }}}^\prime \left( {{{\rm{d}}^{ - 1}}} \right)$	𝒩(0.0, 0.2)	${8.790}_{- 2.074}^{+ 1.810} \times 10^{- 5}$ $8.790_{ - 2.074}^{ + 1.810} \times {10^{ - 5}}$
$\log R_{HK.drift}^{'} (d^{- 2})$ $\log R_{{\rm{HK}}{\rm{.drift }}}^\prime \left( {{{\rm{d}}^{ - 2}}} \right)$	𝒩(0.0, 0.2)	$- {1.910}_{- 0.366}^{+ 0.405} \times 10^{- 8}$ $- 1.910_{ - 0.366}^{ + 0.405} \times {10^{ - 8}}$

Additional transit model parameters
ΔF_CHEOPS (visit 1)	𝒩(0.0, 0.001)	${2.188}_{- 0.185}^{+ 0.170} \times 10^{- 4}$ $2.188_{ - 0.185}^{ + 0.170} \times {10^{ - 4}}$
ΔF_CHEOPS (visit 2)	𝒩(0.0, 0.001)	${1.263}_{- 0.102}^{+ 0.136} \times 10^{- 4}$ $1.263_{ - 0.102}^{ + 0.136} \times {10^{ - 4}}$
ΔF_CHEOPS (visit 3)	𝒩(0.0, 0.001)	${1.375}_{- 0.114}^{+ 0.131} \times 10^{- 4}$ $1.375_{ - 0.14}^{ + 0.131} \times {10^{ - 4}}$
ΔF_CHEOPS (visit 4)	𝒩(0.0, 0.001)	${7.343}_{- 1.138}^{+ 1.306} \times 10^{- 5}$ $7.343_{ - 1.138}^{ + 1.306} \times {10^{ - 5}}$
ΔF_CHEOPS (visit 5)	𝒩(0.0, 0.001)	1.704 ± 0.129 × 10⁻⁴
ΔF_CHEOPS (visit 6)	𝒩(0.0, 0.001)	${1.129}_{- 0.130}^{+ 0.135} \times 10^{- 4}$ $1.129_{ - 0.130}^{ + 0.135} \times {10^{ - 4}}$
Jitter σ_CHEOPS (all visits)	𝒰(0.0, 0.0015)	${2.085}_{- 0.056}^{+ 0.052} \times 10^{- 4}$ $2.085_{ - 0.056}^{ + 0.052} \times {10^{ - 4}}$
ΔF_TESS (sector 3)	𝒩(0.0, 0.001)	${3.035}_{- 1.637}^{+ 1.478} \times 10^{- 5}$ $3.035_{ - 1.637}^{ + 1.478} \times {10^{ - 5}}$
ΔF_TESS (sector 4)	𝒩(0.0, 0.001)	$- {0.514}_{- 1.081}^{+ 1.256} \times 10^{- 5}$ $- 0.514_{ - 1.081}^{ + 1.256} \times {10^{ - 5}}$
ΔF_TESS (sector 30)	𝒩(0.0, 0.001)	$- {3.106}_{- 1.225}^{+ 1.191} \times 10^{- 5}$ $- 3.106_{ - 1.225}^{ + 1.191} \times {10^{ - 5}}$
Jitter σ_TESS (all sectors)	𝒰(0.0, 0.002)	${1.622}_{- 0.153}^{+ 0.161} \times 10^{- 4}$ $1.622_{ - 0.153}^{ + 0.161} \times {10^{ - 4}}$

GP hyperparameters
A_RV	𝒰(0.0, 0.01)	${0.0026}_{- 0.0003}^{+ 0.0004}$ $0.0026_{ - 0.0003}^{ + 0.0004}$
τ_decay	𝒰(10, 200)	${40.44}_{- 10.64}^{+ 19.19}$ $40.44_{ - 10.64}^{ + 19.19}$
γ	𝒰(0.05,5.0)	${2.66}_{- 1.63}^{+ 1.45}$ $2.66_{ - 1.63}^{ + 1.45}$
ln P_rot	𝒰(ln 10, ln 200)	${3.829}_{- 0.980}^{+ 1.018}$ $3.829_{ - 0.980}^{ + 1.018}$
$A_{\log R_{HK}^{'}}$ ${A_{\log {\rm{R}}_{{\rm{HK}}}^\prime }}$	𝒰(0.0, 0.1)	${0.0317}_{- 0.0036}^{+ 0.0043}$ $0.0317_{ - 0.0036}^{ + 0.0043}$

Notes. 𝒰niform priors are defined as 𝒰(min, max), normal priors are defined as 𝒩(µ, σ), where µ is the median value and σ is the standard deviation, and beta priors are defined as β(a, b), where a and b are the β distribution coefficients.

^(a) Prior is put on the orbital phase ϕ as detailed in Section 4.3.1

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