Future prospects for measuring 1PPN parameters using observations of S2 and S62 at the Galactic center

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Volume 694 (February 2025)

A&A, 694 (2025) A280

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Table 1

Priors and results of the MCMC analysis.

Parameter (unit)	Uniform priors		Posterior

	Start	End
D (kpc)	8.24	8.25	8.2474 ± 0.0024
M (10⁶ M_⊙)	4.25	4.27	4.2620 ± 0.0037
t_p (yr)	2018.3789	2018.3791	${2018.378990}_{- 0.000022}^{+ 0.000021}$ $2018.378990_{ - 0.000022}^{ + 0.000021}$
a (arcsec)	0.1250	0.1251	${0.1250600}_{- 0.0000028}^{+ 0.0000029}$ $0.1250600_{ - 0.0000028}^{ + 0.0000029}$
e	0.884	0.885	${0.8846535}_{- 0.0000050}^{+ 0.0000049}$ $0.8846535_{ - 0.0000050}^{ + 0.0000049}$
i (°)	134.5	134.6	${134.5651}_{- 0.0017}^{+ 0.0016}$ $134.5651_{ - 0.0017}^{ + 0.0016}$
Ω (°)	228.1	228.2	228.1710 ± 0.0025
ω (°)	66.2	66.3	66.2655 ± 0.0024

β	0.9	1.1	ϒ = 1.000 ± 0.004
γ	0.9	1.1	ϒ = 1.000 ± 0.004

Notes. The table displays the full set of uniform priors used for our MCMC analysis (columns two and three) and the resulting posteriors (1σ confidence interval) for all the parameters in our model. The parameters β and γ could not be constrained separately from our analysis, but their combination, ϒ, is well constrained with a precision of ~0.4%.

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