TOI-1333Ab is on a well-aligned orbit - An aligned hot Jupiter around an F-type star with a mutually inclined stellar companion

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Table B.2

Posterior values for all fitting parameters in our MCMC.

Parameter	Unit	Prior	Value
Orbital period, P	d	U	${4.7201844}_{- 0.0000012}^{+ 0.0000011}$ $Mathematical equation: $4.7201844^{+0.0000011}_{-0.0000012}$$
Mid-transit time, T₀	BJD_TDB	U	${2458913.3721}_{- 0.0003}^{+ 0.0002}$ $Mathematical equation: $2458913.3721^{+0.0002}_{-0.0003}$$
Scaled semi-major axis, a/R_⋆		U	${8.28}_{- 0.12}^{+ 0.25}$ $Mathematical equation: $8.28^{+0.25}_{-0.12}$$
Planet-to-star radius ratio, R_p/R_⋆		U	${0.0726}_{- 0.0004}^{+ 0.0003}$ $Mathematical equation: $0.0726^{+0.0003}_{-0.0004}$$
Cosine of orbital inclination, cos i_o		U	${0.029}_{- 0.013}^{+ 0.014}$ $Mathematical equation: $0.029^{+0.014}_{-0.013}$$
Projected obliquity, λ	°	U	−5 ± 10
Projected rotational velocity, v sin i_⋆	km s^-1	N(14.2,0.5)	14.4 ± 0.5
Macro-turbulence, ζ	km s^-1	N(5.68,0.5)	5.7 ± 0.5
Micro-turbulence, ξ	km s^-1	N(1.36,0.5)	1.4 ± 0.5
Velocity semi-amplitude, K	m s^-1	U	262 ± 24
Systemic velocity, Γ	m s^-1	U	6 ± 3
RV jitter, σ	m s^-1	J	${0.006}_{- 0.006}^{+ 0.058}$ $Mathematical equation: $0.006^{+0.058}_{-0.006}$$
Sum of LD coefficients TESS, (q₁ + q₂)_TESS		N(0.5432,0.1)	${0.54}_{- 0.09}^{+ 0.10}$ $Mathematical equation: $0.54^{+0.10}_{-0.09}$$
Difference in LD coefficients TESS, (q₁-q₂)_TESS		F(-0.074)	...
Sum of LD coefficients FIES, (q₁ + q₂)_FIES		N(0.706,0.1)	0.71 ±0.10
Difference in LD coefficients FIES, (q₁ - q₂)_FIES		F(0.2814)	...
Eccentricity, e		F(0)	...

Notes. U (J) denotes a uniform (Jeffrey’s) prior. N(a, b) means that a Gaussian prior was applied with μ = a and σ = b. F(c) means that this value was fixed to c.

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