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Calculate mass of 2 stars in a binary star system

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Suppose that a binary star system consists of two stars of equal mass. They are observed to be separated by 359 million km and to take 4.50 earth years to orbit about a point midway between them. What is the mass of each?

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With good explanations and calculations, the solution is completed. The expert calculates the mass of 2 stars in a binary star system.

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-The gravitational attractive force between two stars will provide the centripetal force to two stars.
-Gravitational force:
-Fg = G*m1*m2/(2r)^2
-G = universal gravitational constant = 6.67*10^(-11) N-m^2/kg^2
-m1 = m2 = masses of two ...

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