A pair of stars a and B make a uniform circular motion around a point on their line. Its cycle is t, the distance between a and B is l, and the ratio of their linear velocity V1 / V2 = 2, Find the mass of the two stars

Gm1m2 / L ^ 2 = m1v1 ^ 2 / R1,,,,,, (1) gm1m2 / L ^ 2 = m2v2 ^ 2 / R2,,,,,, (2) we also know that v = 2 π R / T V1 / V2 = 2, so R1 = 2r2 R1 + R2 = L, so R1 = 2L / 3 R2 = L / 3 from the above formula, M2 = 2m1m1 + M2 = 4 π & # 178; L & # 179 / / gt & # 178; M1 = 4 π & # 178; L & # 179 / / 3T

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