A team of researchers has long tracked the path of a star named S2 that orbits the
Question:
A team of researchers has long tracked the path of a star named S2 that orbits the supermassive black hole Sagittarius A* at the center of our Milky Way galaxy. (The orbit is one of those shown on the cover of this book.) The orbital period of S2 is 16.05 years, its semimajor axis is 970 au, where 1 au is the average distance of the earth from the sun, and its orbital eccentricity is 0.88 . The mass of the central black hole is approximately 4 million solar masses, where one solar mass is \(2 \times 10^{30} \mathrm{~kg}\). The researchers also found that the highly elliptical orbit of S2 precesses by approximately 12 minutes of arc per revolution. Is this value consistent with the predictions of general relativity for a Schwarzschild spacetime?
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