Two point masses of mass $m_1 = fM$ and $m_2 = (1 - f)M$ $(f < 1)$ are in outer space (far from the gravitational influence of other objects) at a distance $R$ from each other. They move in circular orbits about their centre of mass with angular velocities $\omega_1$ for $m_1$ and $\omega_2$ for $m_2$. In that case:

• A
  $(1 - f)\omega_1 = f\omega_2$
• B
  $\omega_1 = \omega_2$ and independent of $f$
• C
  $f\omega_1 = (1 - f)\omega_2$
• D
  $\omega_1 = \omega_2$ and depend on $f$