It is believed that there is a black hole with a mass of approximately four million times the mass of the Sun near the centre of the Milky Way galaxy. Some stars are relatively close to this black hole. Assume that the semi-major axis of the orbit of one of these stars is 3.5 light days (ie. The distance that light would travel in 3.5 days). a) Find the orbital period of the star. (In years) b) Find the orbital speed of the star (in km/s), assuming that it is in a circular orbit.

Physics for Scientists and Engineers: Foundations and Connections
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Chapter7: Gravity
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Problem 13PQ: A massive black hole is believed to exist at the center of our galaxy (and most other spiral...
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It is believed that there is a black hole with a mass of approximately four million times the mass of the Sun near the centre of the Milky Way galaxy. Some stars are relatively close to this black hole. Assume that the semi-major axis of the orbit of one of these stars is 3.5 light days (ie. The distance that light would travel in 3.5 days).
a) Find the orbital period of the star. (In years)
b) Find the orbital speed of the star (in km/s), assuming that it is in a circular orbit.

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