Upper limit on the enclosed mass within the orbit of S2 for an extended mass distribution around Sgr A*. We tested two plausible density profiles for the mass distribution: a power-law profile with varying slope (panel a) and a Plummer profile with varying scale radius (panel b). In red, we plot the 1σ upper limit and in blue the 3σ upper limit, derived from a multi-star fit using data from the stars S2, S29, S38, and S55. Independently of the density profile, the enclosed mass within S2’s orbit is consistently compatible with zero. We set a strong upper limit of approximately 1200 M_⊙ with a 1σ confidence level, for reasonable choices of the slope of the power law (s < −1.2) and the scale radius of the Plummer profile (a ≲ 8 mpc).