
Near the center of the image is a black hole three million times heavier than our Sun. Its gravitational pull affects the motion of dust, gas, and stars throughout the region.
JPL/Keck/MIRLIN
Unless the number of stars near the galactic center is extremely high, that is not likely to occur more than once every thousand years, and probably less often.
We probably wouldn’t see anything with our eyes. However, it is likely that in other, less obstructed wave bands — such as infrared and X-ray — we would see a dramatic brightening.