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Suppose that a binary star system consists of two stars of equal mass. They are observed to be separated by 340 million kilometers and take 5.0 Earth years to orbit about a point midway between them. What is the mass of each?

I figured out that:

mass=4pi^2(radius)^2/Gravitational Force(#of years)*(distance)2

m= [4(3.14)^2(3.3x10^29)^3]/[(6.67x10^-11){(8.0 years)(3.4x10^7}^2] =3.33x10^29 then (3.33x10^29)/2 = 1.7x10^29

I don't know what I'm doing wrong here. Any ideas?

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# Homework Help: Gravitation Please Help

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