The most recent data on stars orbiting Sagittarius A*, the black hole at the center of the Milky Way galaxy, have been used in an experiment undertaken by second-year university students to determine the distance R[theta] to the center of the galaxy. Students applied each of Kepler's 17th-century laws, in turn, to 21st-century data. The experiment, pedagogic considerations, and student learning are described. (Contains 3 figures and 1 note.)