Unraveling the binary nature of HQ Tau - A brown dwarf companion revealed using multi-variate Gaussian process

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Volume 689 (September 2024)

A&A, 689 (2024) A139

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Table 1.

Parameters of HQ Tau B.

Parameter	Prior	Value
Fitted parameters
T0 (HJD-2 450 000)	𝒩[9095, 40]	9080.27 $_{- 20.41}^{+ 21.25}$ $^{+21.25}_{-20.41}$
P_orb (d)	𝒩[100, 50]	125.8 $_{- 55.2}^{+ 31.5}$ $^{+31.5}_{-55.2}$
e	ℱ[0]
ω	ℱ[0]
K (km s⁻¹)	𝒰[−5.0, 5.0]	1.25 $_{- 0.71}^{+ 0.83}$ $^{+0.83}_{-0.71}$
A₁ (km s⁻¹)	𝒰[−10.0, 0.0]	−1.50 $_{- 2.16}^{+ 4.63}$ $^{+4.63}_{-2.16}$
B₁ (km s⁻¹)	𝒰[−10.0, 10.0]	−1.81 $_{- 2.76}^{+ 5.89}$ $^{+5.89}_{-2.76}$
A₂ (km s⁻¹)	𝒰[−10.0, 10.0]	0.33 $_{- 1.75}^{+ 1.41}$ $^{+1.41}_{-1.75}$
B₂ (km s⁻¹)	𝒰[−5.0, 5.0]	1.63 $_{- 5.16}^{+ 2.29}$ $^{+2.29}_{-5.16}$
λ_e (d)	𝒰[1., 30]	7.51 $_{- 1.89}^{+ 2.19}$ $^{+2.19}_{-1.89}$
λ_p	𝒰[0.1, 5]	2.48 $_{- 0.85}^{+ 1.14}$ $^{+1.14}_{-0.85}$
P_GP (d)	𝒩[2.42, 0.05]	2.43 $_{- 0.04}^{+ 0.04}$ $^{+0.04}_{-0.04}$

Derived parameters
RV_syst (km s⁻¹)		17.5 $_{- 1.0}^{+ 0.9}$ $^{+0.9}_{-1.0}$
M_B (M_jup)		50.1 $_{- 32.0}^{+ 29.6}$ $^{+29.6}_{-32.0}$
T_peri (HJD-2 450 000)		9049.30 $_{- 26.65}^{+ 28.57}$ $^{+28.57}_{-26.65}$
a(AU)		0.61 $_{- 0.24}^{+ 0.13}$ $^{+0.13}_{-0.24}$

Notes. 𝒰[a, b] represent a uniform prior between a and b, 𝒩[a, b] a normal prior with a median a and standard deviation b, and ℱ[a] a value fixed at a. The uncertainty represents the 68.3% confidence level of the posterior distribution. Please note that the mass M_B corresponds to the minimal mass M_B sin(i), where i is the orbit inclination.

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