Two point masses of mass $m _ { 1 } = f M$ 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 velocities $\omega _ { 1 }$ for $m _ { 1 }$ and $\omega _ { 2 }$ for $m _ { 2 }$. In that case (1) $( 1 - f ) \omega _ { 1 } = f \omega$ (2) $\omega _ { 1 } = \omega _ { 2 }$ and independent of $f$ (3) $f \omega _ { 1 } = ( 1 - f ) \omega _ { 2 }$ (4) $\omega _ { 1 } = \omega _ { 2 }$ and depend on $f$
Two point masses of mass $m _ { 1 } = f M$ 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 velocities $\omega _ { 1 }$ for $m _ { 1 }$ and $\omega _ { 2 }$ for $m _ { 2 }$. In that case\\
(1) $( 1 - f ) \omega _ { 1 } = f \omega$\\
(2) $\omega _ { 1 } = \omega _ { 2 }$ and independent of $f$\\
(3) $f \omega _ { 1 } = ( 1 - f ) \omega _ { 2 }$\\
(4) $\omega _ { 1 } = \omega _ { 2 }$ and depend on $f$