In a binary star system, two stars orbit about their common center of mass If the stars have masses m 1 and m 2 and are separated by a distance r, show that the period of rotation is related to r by T 2 4pr3 G(m 1 m 2 )

Question: In a binary star system, two stars orbit about their common center of mass. If the stars have masses m 1 and m 2 and

In a binary star system, two stars orbit about their common center of mass. If the stars have masses m₁ and m₂ and are separated by a distance r, show that the period of rotation is related to r by T₂ = 4pr3 / [G(m₁ + m₂)].

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