https://phys.org/news/2018-07-gravity-relativity-galactic-centre-massive.html

Astronomers used three VLTs – NACO, SINFONI, and more recently GRAVITY – to follow one particular star in the Sgr A system – S2 – before and after it passed close to the black hole on 19 May 2018. GRAVITY achieved a resolution of 50 microarcseconds: the angle at which a tennis ball placed on the moon would be visible from Earth. This accuracy made it possible to detect the hour-by-hour movement of S2 as close as possible to the black hole. When S2 passed by Sgr A at a distance just 120 times that of the Earth from the Sun, it reached an orbital velocity of 8000 km/s: 2.7 % of the speed of light. These extreme conditions suffice for the S2 star to be subjected to the effects of general relativity.

By combining previous measurements made using NACO and SINFONI with GRAVITY's precision on the position of S2, astronomers were able to detect the gravitational redshift which Einstein predicted. Redshift affects light sources that are in a gravitational field; in this case, the black hole. The phenomenon produces a shift in wavelength toward the red part of the spectrum which is detected by a measuring instrument. This is the first time the effect has been measured in the gravitational field of a black hole.