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Table 1

Properties of the best-fitting Model I.

Parameter Value Constraint Value Derived quantity Value

Observation Model

r (kpc) 8.40 ± 0.08 r (kpc) 8.33 ± 0.35 8.40 v0 (km s-1) 242.0
Mb (Mgal) 409 ± 63 μSgrA (mas yr-1) −6.379 ± 0.026 −6.384 mb (109M) 9.5 ± 1.5
Md (Mgal) Terminal velocities from H i See Fig. 1 See Fig. 1 md (1010M)
Mh (Mgal) a Terminal velocities from CO See Fig. 1 See Fig. 1 mh (1012M)
bb (kpc) 0.23 ± 0.03 Circular velocities from masers See Fig. 1 See Fig. 1 MR < 50 kpc (1012M)
ad (kpc) ρ (M pc-3), Σ1.1 (M pc-2) 0.102 ± 0.010, 74 ± 6 0.102, 74 MR < 100 kpc (1012M)
bd (kpc) σBW (km s-1) 117 ± 15 120 MR < 200 kpc (1012M)
ah (kpc) a χ ≤0 0.66 vesc, ⊙ (km s-1) 616.4
Λ (kpc) b A (km s-1 kpc-1) 15.06
γ 2 (fixed) B (km s-1 kpc-1) −13.74

Notes.The quoted uncertainties for the model parameters and masses are 90%-confidence limits: After normalizing the weighted via multiplication with a factor yielding at the minimum , 90%-confidence intervals are calculated from this normalized χ2 statistics and the condition Δχ2 = 2.71.

(a)

The large uncertainties are due to a strong correlation between Mh and ah, see Fig. 3.

(b)

Motivated by cosmological studies, the restriction Λ ≤ 200 kpc is imposed.

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