Two stars in a binary system orbit around their center ofmass. The centers of th

Question

Two stars in a binary system orbit around their center ofmass. The centers of the two stars are 7.17 x 10 11 mapart. The larger of the two stars has a mass of 3.7 x 10 30 kg & its center is 2.08 x 1011 m from the system's center of mass. What is the massof the smaller star? Thanks. Two stars in a binary system orbit around their center ofmass. The centers of the two stars are 7.17 x 10 11 mapart. The larger of the two stars has a mass of 3.7 x 10 30 kg & its center is 2.08 x 1011 m from the system's center of mass. What is the massof the smaller star? Thanks.

Explanation / Answer

L = 7.17 x 10 11 m, M = 3.7 x 10 30 kg, d =2.08 x 10 11 m, find m M*d = m*(L - d) m = M*d/(L - d) = 1.51 x 10 30 kg

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