PUBLICATIONS OF THE ASTRONOMICAL OBSERVATORY OF BELGRADE 107, Page 51-56, https://doi.org/10.69646/14sbac07p
PPROCEEDINGS OF THE XIV SERBIAN-BULGARIAN ASTRONOMICAL CONFERENCE, Vrnjačka Banja, Serbia, September 23-27, 2024, Eds. Milan S. Dimitrijević, Evgeni Semkov, Zoran Simić, Goran Damljanović, Momchil Dechev
Published by: Astronomical Observatory, Volgina 7, 11060 Belgrade 38, Serbia

Here we present our achieved results on the bounding graviton mass by the observed orbits of bright stars around Sgr A*. We used available observations of the S-star orbits in our Galactic center. By comparison of these stellar orbits with their simulated orbits in Yukawa gravitational potential, we estimated the constraints on the parameters of this modified theory of massive gravity. Then, we connected one of these parameters with the Compton wavelength of the graviton and used it for estimation of the graviton mass. In that way we obtained a new method of determining the upper limit of graviton mass, completely independent from other methods published until now. The constraints on the Compton wavelength of the graviton and its mass, obtained using this method, were in a good agreement with the coresponding LIGO results.