Finding Period with Double Stars

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The discussion revolves around calculating the orbital period of a double star system consisting of two identical stars, each with a mass of 3.0E30 kg, separated by 2.0E11 m. The relevant equation used is Gm / 4π^2 = r^3 / T^2, which relates gravitational force to orbital period. An initial attempt to isolate T resulted in an incorrect answer. Ultimately, the correct period is determined to be 7.9E7 seconds, and a solution was found online. The focus remains on the calculation of the orbital period for the double star system.
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Homework Statement



A certain double star consists of two identical stars, each of mass 3.0E30 kg, separated by a distance of 2.0E11 m between their centres. How long does it take to complete one cycle? Give your answer in seconds.



Homework Equations



Gm / 4π^2 = r^3/ T^2 (I'm pretty sure the motion will be elliptical)


The Attempt at a Solution



I tried the above equation, and isolated for T, but I got the wrong answer. The answer is 7.9E7 seconds.
 
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