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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Can you please answer the first 3 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 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., 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 Millenium Falcon’s velocity at periastron?

*Image Description*: The image in the top right corner shows an artistic depiction of a black hole, with a bright disk of accretion swirling around it. The colors range from white and yellow near the center to darker hues on the outer edges, illustrating the gravitational distortion and intense energy near the black hole.
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., 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 Millenium Falcon’s velocity at periastron? *Image Description*: The image in the top right corner shows an artistic depiction of a black hole, with a bright disk of accretion swirling around it. The colors range from white and yellow near the center to darker hues on the outer edges, illustrating the gravitational distortion and intense energy near the black hole.
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