How have astronomers measured the mass of the black hole at the center of our galaxy?

Question

Quizplus · Accepted Answer

Astronomers have measured the mass of the black hole at the center of our galaxy by observing the motions of stars near the center of the galaxy. This method involves analyzing the orbits of stars around Sagittarius A* (the source of radio wavelength and X-ray emission believed to mark the location of the Milky Way's central black hole) and using Kepler's laws of planetary motion to determine the mass of the object producing their motion.

How Have Astronomers Measured the Mass of the Black Hole