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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? What is the eccentricity of the orbit? What is the Millenium Falcon's velocity at periastron?

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? What is the eccentricity of the orbit? What is the Millenium Falcon's velocity at periastron?

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Please answer the first three questions. PLEASE DO NOT SKIP ANY STEPS AND COMPLETELY EXPLAIN YOUR ANSWER. I have submitted this question now three times and have gotten different answers each time. Please make sure to answer the first question in terms of AU!! Please double check your work, and please make sure you fully undrestand the question before you undertake the problem. 

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., 20xR5). 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? 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., 20xR5). 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? What is the eccentricity of the orbit? What is the Millenium Falcon's velocity at periastron?
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