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Two newly discovered planets follow circular orbits around a star in a distant part of the...

Two newly discovered planets follow circular orbits around a star in a distant part of the galaxy. The orbital speeds of the planets are determined to be 40.1 km/s and 55.2 km/s. The slower planet's orbital period is 6.81 years. (a) What is the mass of the star? (b) What is the orbital period of the faster planet, in years?

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