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Table 1.

Best-fit parameters for our three data sets.

Parameter Down-sampled data Noise model fit GRAVITY only
R0 [pc] 8179 ± 13 8178 ± 13 8175 ± 13
Mass [106M] 4.154 ± 0.014 4.152 ± 0.014 4.148 ± 0.014
x0 [mas] −1.04 ± 0.36 −0.65 ± 0.36 N.A.
y0 [mas] −0.47 ± 0.35 −0.73 ± 0.35 N.A.
υx0 [μas yr−1] 68 ± 31 68 ± 32 N.A.
υy0 [μas yr−1] 158 ± 31 108 ± 31 N.A.
υz0 [km s−1] −3.3 ± 1.5 −3.0 ± 1.5 −2.8 ± 1.5
a [mas] 125.072 ± 0.084 125.066 ± 0.084 125.065 ± 0.086
e 0.884282 ± 0.000064 0.884293 ± 0.000064 0.884288 ± 0.000064
i [°] 133.911 ± 0.052 133.904 ± 0.052 133.883 ± 0.053
Ω [°] 228.067 ± 0.041 228.075 ± 0.041 228.091 ± 0.041
ω [°] 66.250 ± 0.035 66.253 ± 0.035 66.257 ± 0.035
tperi [yr] – 2018 0.3790 ± 0.0014 0.3790 ± 0.0014 0.3789 ± 0.0014
UTC date 19.5.2018 09:53 19.5.2018 09:51 19.5.2018 09:47
red. χ2 0.82 1.10 1.00

Notes. The parameters x0, y0, υx0, and υy0 describe the location and motion of the mass in the coordinate system of the AO data in RA and Dec. Because GRAVITY directly measures the separation vector, we do not need to include such coordinate system offsets for the GRAVITY data. The third velocity υz0 is the offset of the motion in the radial direction along the line of sight, the negative sign means a blueshift or a motion toward the observer. The parameters (a, e, i, Ω, ω, tperi) are the classical orbital elements semimajor axis, eccentricity, inclination, position angle of ascending node, longitude of pericenter, and the epoch of pericenter passage. The orbital elements are defined as the osculating orbital elements at t = 2010.0, i.e., the conversion to position and velocity is done at that epoch assuming a Kepler orbit.

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