If the black hole in the center of the Milky Way Galaxy were 4 × 10⁶ solar masses,what would be the orbital period of Earth around this hole in an orbit of radius 1 AU (assuming that Newtonian physics and Kepler's third law apply)?

Question

Quizplus · Accepted Answer

Using Kepler's third law, the orbital period T is proportional to the square root of the cube of the semi-major axis divided by the mass of the central object. For a black hole of 4 million solar masses and an orbit of 1 AU, the period is approximately 4 hours.

If the Black Hole in the Center of the Milky