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Binary Stars

Name: Anonymous 2006-11-26 16:29

Find the distance between the stars in a binary system if the overall mass of the system is M= 4.6x10^30  kg and the period of revolution is 8.8 x 10^7  s. Give your answer in Gm (1Gm=10^9m).

So I'm all like: "Easy, use Keplers second law yeah?"

r^3 / t^2 = GM/ (4*Pi^2)  ; where M = (m1 + m2) = mass of the system

so I get r = 0.881 gigameters or 8.81x10^8 meters

But the answer is apparently 391.9 gigameters.

What did I do wrong?

Name: Anonymous 2006-11-26 17:35

>>1
Assumed the stars are the same mass?

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