True masses using radial velocity data with HIPPARCOS and Gaia astrometry

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Volume 707 (March 2026)

A&A, 707 (2026) A104

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Table 1

Properties of the three planetary systems used for the validation of the code.

Parameters	GJ 463^{(a, b, c, d)}		π Men ^{(a, b, c, e)}		HD 222237^{(b, f, g, h)}
RA (J2000)	12:23:00.16		05:37:09.89		23:39:37.39
Dec (J2000)	+64:01:50.96		−80:28:08.83		−72:43:19.76
Parallax π (mas)	54.45 ± 0.03		54.68 ± 0.04		87.37 ± 0.02
Distance d (pc)	18.37 ± 0.01		18.27 ± 0.02		11.445 ± 0.003
m_V	13.48 ± 0.01		5.65 ± 0.01		7.09
Radius R_* (R_⊙)	0.49 ± 0.02		1.10 ± 0.01		0.71 ± 0.06
Mass M_* (M_⊙)	0.49 ± 0.02		1.02 ± 0.03		0.76 ± 0.09
Effective temperature T_eff (K)	3540 ± 41		5870 ± 50		4751 ± 139
Spectral type	M3V		G0V		K3V
Δμ_α (mas yr⁻¹) (HIPPARCOS)	4.330 ± 2.001		1.057 ± 0.240		−0.896 ± 0.071
Δ μ_δ (mas yr⁻¹) (HIPPARCOS)	−0.703 ± 2.141		0.787 ± 0.260		0.055 ± 0.420
Δμ_α (mas yr⁻¹)(Gaia DR3)	−0.641 ± 0.075		0.165 ± 0.047		0.892 ± 0.026
Δ μ_δ (mas yr⁻¹) (Gaia DR3)	0.311 ± 0.058		−0.586 ± 0.060		−0.232 ± 0.027
Δν_T (m s⁻¹) (Gaia DR3)	61.94 ± 8.24		52.79 ± 6.65		49.99 ± 2.02
RUWE	1.407		0.814		1.049
	Endl et al. (2022)	This Work	Damasso et al. (2020)	This Work	Xiao et al. (2024)	This Work
K (m s⁻¹)	33 ± 3	$33 . 7_{- 3.0}^{+ 3.3}$ $Mathematical equation: $33.7_{-3.0}^{+3.3}$$	196.1 ± 0.7	195.3 ± 0.8	$46 . 57_{- 0.82}^{+ 0.83}$ $Mathematical equation: $46.57_{-0.82}^{+0.83}$$	47.2 ± 0.9
P (d)	$3448_{- 88}^{+ 110}$ $Mathematical equation: $3448_{-88}^{+110}$$	$3453 . 5_{- 83.0}^{+ 92.9}$ $Mathematical equation: $3453.5_{-83.0}^{+92.9}$$	2088.8 ± 0.4	2089.0 ± 0.4	$13262_{- 1165}^{+ 1319}$ $Mathematical equation: $13262_{-1165}^{+1319}$$	$13997_{- 1397}^{+ 1514}$ $Mathematical equation: $13997_{-1397}^{+1514}$$
T_p (BJD-2 440 000)	$12 975_{- 90}^{+ 82}$ $Mathematical equation: $12\,975_{-90}^{+82}$$ *	$19 907_{- 514}^{+ 495}$ $Mathematical equation: $19\,907_{-514}^{+495}$$	16 548 ± 3^**	18 389 ± 3	$5 387_{- 1328}^{+ 1173}$ $Mathematical equation: $5\,387_{-1328}^{+1173}$$ ^***	$18 650_{- 1520}^{+ 1405}$ $Mathematical equation: $18\,650_{-1520}^{+1405}$$
e	$0 . 09_{- 0.05}^{+ 0.18}$ $Mathematical equation: $0.09_{-0.05}^{+0.18}$$	0.12 ± 0.06	0.642 ± 0.001	0.637 ± 0.002	0.53 ± 0.03	0.54 ± 0.03
ω (deg)	$291 . 3_{- 17.2}^{+ 40.1}$ $Mathematical equation: $291.3_{-17.2}^{+40.1}$$	$288 . 8_{- 36.4}^{+ 33.7}$ $Mathematical equation: $288.8_{-36.4}^{+33.7}$$	$- 93 . 7_{- 25.5}^{+ 182.8}$ $Mathematical equation: $-93.7_{-25.5}^{+182.8}$$	330.1 ± 0.3	$2 . 6_{- 1.4}^{+ 1.3}$ $Mathematical equation: $2.6_{-1.4}^{+1.3}$$	$3 . 3_{- 1.3}^{+ 1.4}$ $Mathematical equation: $3.3_{-1.3}^{+1.4}$$
a (au)	3.53 ± 0.07	$3 . 54_{- 0.07}^{+ 0.08}$ $Mathematical equation: $3.54_{-0.07}^{+0.08}$$	3.28 ± 0.04	3.24 ± 0.03	$9 . 99_{- 0.71}^{+ 0.78}$ $Mathematical equation: $9.99_{-0.71}^{+0.78}$$	$10 . 4_{- 0.8}^{+ 0.9}$ $Mathematical equation: $10.4_{-0.8}^{+0.9}$$
M_c sin i (M_Jup)	1.55 ± 0.15	1.6 ± 0.3	9.89 ± 0.25	9.7 ± 0.5	−	3.9 ± 0.4

Notes. * $T_{c o n j} (B J D) = 2 454 457_{- 90}^{+ 82}$ $Mathematical equation: $\mathrm{T}_{{conj}}(\mathrm{BJD})=2\,454\,457_{-90}^{+82}$$ (Endl et al. 2022) ^** Epoch of periastron T_conj [BJD] =2 458 388.6 ± 2.2 (Damasso et al. 2020) ^*** In JD. ^(a) Gaia Collaboration (2018); ^(b) Gaia Collaboration (2021); ^(c) Mermilliod (1987); ^(d) Gandolfi et al. (2018); ^(e) Schweitzer et al. (2019); ^(f) Koen et al. (2010); ^(g) Stassun et al. (2019); ^(h) Gray et al. (2006). All the Δ μ_α, Δ μ_δ, and Δν_T are from Kervella et al. (2022).

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