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Well, there is much more to see and do in the Solar System, but this tour...

Well, there is much more to see and do in the Solar System, but this tour takes you well beyond! Next stop is our nearest star: Alpha Centauri. Your Journey will take a while using fusion power, so you will probably sleep for a few months. When you finally wake up near Alpha Centauri, you realize that Alpha Centauri is actually a binary star system! The two stars, Alpha-Cen-A and Alpha-Cen-B, have different masses; Alpha-Cen-A is more massive than Alpha-Cen-B.

(a)Draw a schematic diagram representing the orbits of the two stars, labeling the starsand indicating their orbital paths. Assume circular orbits. What is located at the center of their orbits?

(b)What is the ratio of the orbital radii of the two stars (R_A/R_B)? Show your work.

(c)What is the ratio of the orbital periods of the two stars (T_A/T_B)? Explain.

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