  Motion of short-period stars orbiting the supermassive black hole in our
Galactic Center has been monitored for more than 20 years. These observations
are currently offering a new way to test the gravitational theory in an
unexplored regime: in a strong gravitational field, around a supermassive black
hole. In this proceeding, we present three results: (i) a constraint on a
hypothetical fifth force obtained by using 19 years of observations of the two
best measured short-period stars S0-2 and S0-38 ; (ii) an upper limit on the
secular advance of the argument of the periastron for the star S0-2 ; (iii) a
sensitivity analysis showing that the relativistic redshift of S0-2 will be
measured after its closest approach to the black hole in 2018.
