Han Solo and Chewie fly the Millenium Falcon (mass of 100,000 kg) into an orbit around a 1 million solar mass black hole at a periastron (closest distance) distance of 20 Schwarzschild radii (i.e., 20×R5). They have an apastron distance of 25xRg. What are the periastron and apastron distances in AU? What is the semi-major axis in AU? What is the period of the orbit in years?

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Black Holes
Han Solo and Chewie fly the Millenium Falcon (mass of 100,000
kg) into an orbit around a 1 million solar mass black hole at a
periastron (closest distance) distance of 20 Schwarzschild radii
(i.e., 20×R5). They have an apastron distance of 25xRs.
What are the periastron and apastron distances in AU?
What is the semi-major axis in AU?
What is the period of the orbit in years?
What is the eccentricity of the orbit?
What is the Millenium Falcon's velocity at periastron?
Transcribed Image Text:Black Holes Han Solo and Chewie fly the Millenium Falcon (mass of 100,000 kg) into an orbit around a 1 million solar mass black hole at a periastron (closest distance) distance of 20 Schwarzschild radii (i.e., 20×R5). They have an apastron distance of 25xRs. What are the periastron and apastron distances in AU? What is the semi-major axis in AU? What is the period of the orbit in years? What is the eccentricity of the orbit? What is the Millenium Falcon's velocity at periastron?
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