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 object in an orbit of radius 1 au (assuming that Newtonian physics and Kepler's third law apply)?

Question

Quizplus · Accepted Answer

Kepler's third law states that the square of the orbital period is proportional to the cube of the semi-major axis of the orbit divided by the mass of the central object. For a black hole of 4 million solar masses, the period would be approximately 4.5 hours for an orbit of 1 au.

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