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Table 8

Constraints obtained by fitting model F to astrometric and spectroscopic observations of the S2 star, generated with model G.

(a,NP,σA [ μas] ,σV [km s-1]) (0.99,3,10,10) (0.7,3,10,10) (0.99,3,30,10) (0.99,2,10,10)

δT [h]
δasma [μas]
δe × 10-6
δtp [hr]
δΩ × 10-2 [°]
δω × 10-2 [°]
δi × 10-2 [°]
δR0 [pc]
δMTN × 104 [M]
a 0.931-0.113 0.986-0.255 0.980-0.212
δΩ′ [°]
δi [°]

Notes. The values are given (except for the norm of the angular momentum of the black hole) by computing the difference between parameters found by the fitting method and those used to get the mock observations. Errors associated to each parameter are estimated at 1σ by the MCMC method. Four runs of observation are considered where the astrometric accuracy, the norm a and the duration of the run (mentioned by the parameter NP corresponding to the number of orbital periods of S2) vary. All runs are generated considering a direction for the angular momentum of the black hole: (i′,Ω′) = (45°,160°).

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