The µ Herculis system solved after nearly three centuries

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Volume 709 (May 2026)

A&A, 709 (2026) A145

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Table 3

Comparison of astrometric parameters for µ Her Aa.

Parameter	Unit	p_H	p_G	$p_{G}^{H \leftarrow G}$ $Mathematical equation: $p_G^{H \leftarrow G}$$	${\hat{p}}_{G}^{H \leftarrow G}$ $Mathematical equation: $\hat p_G^{H \leftarrow G}$$	$p_{CM}^{H}$ $Mathematical equation: $p_{{\rm{CM}}}^{\rm{H}}$$
Frame		Hipparcos	Gaia	Gaia	Hipparcos	Hipparcos
t₀	jyear	1991.25	2016	2016	2016	1991.25
α	deg	266.615495300	266.613213506	266.613212289	266.610790119	266.615667970
δ	deg	27.722499170	27.717275041	27.717274147	27.711963038	27.722382451
$μ_{α^{}}$ $Mathematical equation: ${\mu _{{\alpha ^}}}$$	mas yr⁻¹	−291.66 ± 0.12	−312.09 ± 0.15	−312.23 ± 0.15	−312.20 ± 0.18	−324.13 ± 0.25
μ_δ	mas yr⁻¹	−749.60 ± 0.15	−773.18 ± 0.16	−773.27 ± 0.16	−772.79 ± 0.21	−747.74 ± 0.22
ϖ	mas	120.33 ± 0.16	119.86 ± 0.15	119.86 ± 0.39	120.04 ± 0.20	120.07 ± 0.09

$Δ α_{0}^{}$ $Mathematical equation: ${\rm{\Delta }}\alpha _0^$$	mas	0 ± 0.09	−7271.53 ± 0.15	−7275.57 ± 0.61	−14994.28 ± 0.61	550.26 ± 8.60
Δδ₀	mas	0 ± 0.12	−18806.87 ± 0.63	−18809.54 ± 0.64	−37930.08 ± 0.64	−420.19 ± 7.55

Notes. $p_{CM}^{H}$ $Mathematical equation: $p_{{\rm{CM}}}^{\rm{H}}$$ denotes the fitted parameters of the system’s CM. p_H and p_G are the published HIPPARCOS and Gaia DR3 solutions, respectively. $p_{G}^{H \leftarrow G}$ $Mathematical equation: $p_G^{H \leftarrow G}$$ is the Gaia DR3 solution adjusted for non-linear effects and rotated into the HIPPARCOS reference frame. ${\hat{p}}_{G}^{H \leftarrow G}$ $Mathematical equation: $\hat p_G^{H \leftarrow G}$$ is the corresponding solution obtained by fitting synthetic Gaia data points generated from our model.

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