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Can you please answer the LAST 2 questions? Please do not skip any steps include ALL of your work and double check for accuracy. Thank you. 

**Black Holes**

Han Solo and Chewie fly the Millennium 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., 20xRₛ). 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 Millennium Falcon’s velocity at periastron?

**Image Description:**
The top-right corner features an artistic image of a black hole, with a luminous accretion disk of bright light swirling around it, demonstrating the intense gravitational pull and radiant energy emissions associated with black holes.
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Transcribed Image Text:**Black Holes** Han Solo and Chewie fly the Millennium 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., 20xRₛ). 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 Millennium Falcon’s velocity at periastron? **Image Description:** The top-right corner features an artistic image of a black hole, with a luminous accretion disk of bright light swirling around it, demonstrating the intense gravitational pull and radiant energy emissions associated with black holes.
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