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Table B.1

Best-fit parameters of the four-star fit determining fS P

parameter value error prior error
M• [106 M⊙] 4.2996 0.0118 - -
R0 [pc] 8275.9 8.6 - -
x0 [mas] -0.72370 0.08707 -7.79×10−4 7.38×10−5
y0 [mas] -0.11921 0.07391 -1.18×10−4 7.93×10−5
vx0 [mas/yr] 0.078241 0.005728 6.64×10−5 7.27×10−6
vy0 [mas/yr] 0.040542 0.005620 3.70×10−5 7.76×10−6
vz0 [km/s] -1.9983 1.3325 0 5
fS P 1.1350 0.1104 - -
S2
a [as] 0.12502 3×10−5 - -
e 0.88444 6×10−5 - -
i [°] 134.67 0.02 - -
Ω [°] 228.21 0.03 - -
ω [°] 66.279 0.029 - -
tperi [yr] 2018.3789 1×10−4 - -
S29
a [as] 0.39025 9.4×10−4 - -
e 0.96880 9×10−5 - -
i [°] 144.24 0.09 - -
Ω [°] 4.9259 0.1590 - -
ω [°] 203.68 0.17 - -
tperi [yr] 2021.4102 ×10−4 - -
S38
a [as] 0.14249 4×10−5 - -
e 0.81807 2.2×10−4 - -
i [°] 168.69 0.19 - -
Ω [°] 122.43 1.12 - -
ω [°] 40.065 1.118 - -
tperi [yr] 2022.6843 8×10−4
S55
a [as] 0.10424 5×10−5 - -
e 0.72980 1.8×10−4 - -
i [°] 159.59 0.17 - -
Ω [°] 319.43 0.97 - -
ω [°] 327.77 0.93 - -
tperi [yr] 2009.4738 7.6×10−3 - -

Notes. The orbital elements are meant in the sense of osculating orbit parameters, using a conversion time close to the respective apocenter times, i.e., 2010.35 for S2, 1977 for S29, 2000 for S38, and 2012 for S55. The reference frame parameters x0 and y0 refer to the epoch 2000.

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