Astronomers have observed an otherwise normal star, called S2, closely orbiting an extremely massive but small object at the center of the Milky Way Galaxy called SgrA. S2 moves in an elliptical orbit around SgrA with a period of 15.2 yr and an eccentricity ee = 0.87. In 2002, S2 reached its closest approach to SgrA, a distance of only 123 AU (1AUAU = 1.50×1011m1.50×1011m is the mean Earth - Sun distance). Determine the mass MM of SgrA, the massive compact object (believed to be a supermassive black hole) at the center of our Galaxy. State MM in kgkg and in terms of the mass of our Sun.

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Astronomers have observed an otherwise normal star, called S2, closely orbiting an extremely massive but small object at the center of the Milky Way Galaxy called SgrA. S2 moves in an elliptical orbit around SgrA with a period of 15.2 yr and an eccentricity ee = 0.87. In 2002, S2 reached its closest approach to SgrA, a distance of only 123 AU (1AUAU = 1.50×1011m1.50×1011m is the mean Earth - Sun distance).

Determine the mass MM of SgrA, the massive compact object (believed to be a supermassive black hole) at the center of our Galaxy. State MM in kgkg and in terms of the mass of our Sun.
Express your answer using two significant figures.
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