Two newly discovered planets follow circular orbits around, Ask an Expert

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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 40.6 km/s and 60.5 km/s. The slower planet's orbital period is 6.37 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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