“…In the few recent publications reporting about the discovery of gravitational waves from the binary black hole system, the LIGO-Virgo collaboration obtained the graviton mass constraints [29,30,31,32] and in the last years the constraint was significantly improved, in particular, based on a joint analysis of events from the first (O1) and the second (O2) observing runs or in other words, the events were collected in the first LIGO-Virgo Gravitational-Wave Transient Catalog (GWTC-1), the authors found that graviton mass should be m g < 4.7 × 10 −23 eV [33], while adding events from the first part of the third observational run (O3a) to GWTC-1 to form the second LIGO-Virgo Gravitational-Wave Transient Catalog (GWTC-2), the authors found that m g < 1.76 × 10 −23 eV [34]. In our previous papers, constraint of graviton mass has been obtained from an analysis of trajectories of bright stars near the Galactic Center [24,25,26,27,28] assuming a potential of bulk distribution of matter is negligible in comparison with a potential of a point like mass. In this paper we consider orbital S2 star precession due to an inclusion of potential of a bulk distribution of matter [15,35,36,37,38,39,40,41,42].…”