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(25 points) A star known as S2 is in orbit around a massive, dark object thought to be a black hole at the center of the Milky Way Galaxy. Based on the spectral type of the star, S2s mass is about 15Mo. The period of the orbit is about 15 years, the eccentricity of the orbit is about 0.9, and the semimajor axis of the orbit is about 1000 AU. Remember that IAU = 1.5 × 1013 cm. In solar masses, what is the mass of the massive black hole?

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