A millisecond pulsar position determined to 0.2 mas precision with VLBI

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Volume 691 (November 2024)

A&A, 691 (2024) A47

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Table E.1

Core-shift models derived at the reference frequency of 2.27 GHz with Bayesian inference.

Model parameter	AGN name
Model parameter
ICRF J221852.0−033536	ICRF J221947.2−005132	ICRF J222646.5+005211	FIRST J222112−012806
	$β_{i^{'}} inferred \to χ_{v}^{2} = 1.9$ ${\beta _{i'}}{\rm{inferred}} \to \chi _v^2 = 1.9$

β_i′	${0.8}_{- 0.2}^{+ 0.3}$ $0.8_{ - 0.2}^{ + 0.3}$	${1.0}_{- 0.5}^{+ 0.9}$ $1.0_{ - 0.5}^{ + 0.9}$	${1.4}_{- 0.6}^{+ 0.8}$ $1.4_{ - 0.6}^{ + 0.8}$	${0.73}_{- 0.18}^{+ 0.22}$ $0.73_{ - 0.18}^{ + 0.22}$
r_0i′ (mas)	${3.45}_{- 0.36}^{+ 0.33}$ $3.45_{ - 0.36}^{ + 0.33}$	${0.70}_{- 0.26}^{+ 0.34}$ $0.70_{ - 0.26}^{ + 0.34}$	${2.3}_{- 0.4}^{+ 0.5}$ $2.3_{ - 0.4}^{ + 0.5}$	${2.19}_{- 0.25}^{+ 0.32}$ $2.19_{ - 0.25}^{ + 0.32}$
θ_i′ (deg)	218 ± 3	156 ± 5	$149_{- 6}^{+ 5}$ $149_{ - 6}^{ + 5}$	284 ± 5
$x_{i α}^{}$ $x_{i\alpha }^ $	22^h21^m12^s.680988±0.07 mas	22^h21^m12^s681004± 0.04 mas	22^h21^m12^s.681011 ±0.09 mas	–
$x_{i δ}^{}$ $x_{i\delta }^ $	−01°28′06″.30895±0.15 mas	−01°28′06″.30891±0.08mas	−01°28′06″.30852±0.17 mas	–

η_EFAC	${5.0}_{- 1.1}^{+ 1.4}$ $5.0_{ - 1.1}^{ + 1.4}$

	$β_{i^{'}} \equiv 1 \to χ_{v}^{2} = 1.2$ ${\beta _{i'}} \equiv 1 \to \chi _v^2 = 1.2$

r_0i′ (mas)	3.25 ± 0.27	${0.69}_{- 0.29}^{+ 0.28}$ $0.69_{ - 0.29}^{ + 0.28}$	2.3 ± 0.4	${1.98}_{- 0.16}^{+ 0.17}$ $1.98_{ - 0.16}^{ + 0.17}$
θ_i′ (deg)	218 ± 3	157 ± 5	150 ± 5	284 ± 6
$x_{i α}^{}$ $x_{i\alpha }^ $	22^h21^m12^S.680989±0.06 mas	22^h21^m12^s.681006± 0.03 mas	22^h21^m12^s.681011 ±0.07 mas	–
$x_{i δ}^{}$ $x_{i\delta }^ $	−01°28′06″.30897±0.13 mas	−01°28′06″.30891± 0.07mas	−01°28′06″.30844±0.16 mas	–

η_EFAC	${4.8}_{- 1.0}^{+ 1.4}$ $4.8_{ - 1.0}^{ + 1.4}$

Notes. The upper block shows the results when the power-law indices β_i′ (defined in Eq. 2) are included in the Bayesian inference, while the lower block gives the results when β_i′ are fixed to 1. Other model parameters include the systematics-correcting factor η_EFAC, the core-shift magnitudes r_0i′ (at the reference frequency v₀), and the reference positions $(x_{i α}^{*}, x_{i δ}^{*})$ $\left( {x_{i\alpha }^ * ,x_{i\delta }^ * } \right)$ , defined in Eqs. 1, 2, and E.2, respectively. $χ_{v}^{2}$ $\chi _v^2$ denotes reduced chi-square of the inference, which is closer to unity when β_i′ ≡ 1.

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