Two point masses of mass $m_1 = fM$ and $m_2 = (1 -f)\,M\,(f < 1 )$ are in outer space ( far from gravitational influence of other objects) at a distance $R$ from each other. They move in circular orbits about their centre of mass with angular vaocities $\omega _1$ for $m_1$ and $\omega _2$ for $m_2.$ In that case
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