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In January 2015, Caltech astronomers Konstantin Batygin and Mike Brown proposed that a planet with about...

In January 2015, Caltech astronomers Konstantin Batygin and Mike Brown proposed that a planet with about 10 times the mass of Earth may exist in an orbit very far from the Sun.What is the orbital period of this planet if it is on average 600 AU from the Sun? 
 (Use Kepler’s 3rd Law.). What if instead of the planet being a “super” Earth roughly the size of Uranus or Nep- tune, it was not a planet at all, but a small black hole? (This idea was published in a peer-reviewed journal.) How big is the Schwarzschild radius of this black hole?

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