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Table 7

Priors and posteriors of the parameters of TOI-3568 b obtained from a joint analysis of TESS and WCWO photometry, MAROON-X, and SPIRou RVs.

Parameter Prior Posterior
Time of conjunction, Tc (BJD) 𝒰(2 459 799, 2 459 800) 2 459 799.3834 ± 0.0006
Orbital period, P (d) 𝒰(4.415, 4.420) 4.417965 ± 0.000005
Eccentricity, e derived 0.035 ± 0.021
Argument of periastron, ω (deg) derived −0.9 ± 0.7
e sin ω 𝒰(−1, 1) −0.03 ± 0.04
e cos ω 𝒰(−1, 1) 0.02 ± 0.04
Normalized semimajor axis, a/R⋆ 𝒰(1, 20) 13.1−1.4+0.8$13.1_{ - 1.4}^{ + 0.8}$
(a) Semimajor axis, ap (au) Derived 0.0485 ± 0.0004
Orbital inclination, ip (deg) 𝒰(85, 90) 89.2−1.3+1.1$89.2_{ - 1.3}^{ + 1.1}$
Transit duration, tdur (h) derived 2.45 ± 0.14
Impact parameter, b 𝒰(0, 1) <0.50
Planet-to-star radius ratio, Rp /R⋆ 𝒰(0, 1) 0.067 ± 0.003
Planet radius, Rp (RJup) Derived 0.483 ± 0.024
Planet radius, Rp (RNep) Derived 1.37 ± 0.07
Planet radius, Rp (R⊕) Derived 5.30 ± 0.27
Velocity semi-amplitude, Kp (m s−1 ) 𝒰(0, 1000) 12.1 ±0.4
Planet mass, Mp (MJup) Derived 0.083 ± 0.003
Planet mass, Mp (MNep) Derived 1.54 ± 0.06
Planet mass, Mp (M⊕) Derived 26.4 ± 1.0
Planet bulk density, ρp (g cm−3) derived 0.98 ± 0.15
(b) Equilibrium temperature, Teq (K) Derived 899 ± 12
Linear limb dark. coef., u0 𝒰(0, 1) 0.85 ± 0.11
(c) Systemic RV (MAROON-X, Blue), γMAROONX Red (m s−1) 𝒰(−∞, +∞) −1.2 ± 0.7
(c) Systemic RV (MAROON-X, Red), γMAROONX Blue (m s−1) 𝒰(−∞, +∞) −1.4 ± 0.4
Systemic RV (SPIRou, NIR), γSPIRou (m s−1) 𝒰(−∞, +∞) −97667±6
MAROON-X Blue RV jitter (m s−1) 2.6
MAROON-X Red RV jitter (m s−1) 1.0
SPIRou RV jitter (m s−1) 0.0
RMS of MAROON-X Blue RV residuals (m s−1) 2.2
RMS of MAROON-X Red RV residuals (m s−1) 3.9
RMS of SPIRou RV residuals (m s−1) 6.5
RMS of RV residuals (m s−1) 3.5
RMS of TESS flux residuals (ppt) 3.6
RMS of WCWO flux residuals (ppt) 3.5

Notes. (a) Semi-major axis derived from the fit period and Kepler’s law. (b) Assuming a uniform heat redistribution and an arbitrary geometric albedo of 0.1. (c)The MAROON-X RVs are relative to the template and therefore the systemic RVs represent a systematic offset relative to our orbital fit.

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