Question

Two particles of the same mass m are moving in circular orbits because of force given by

Answer 1

Two particles of the same mass m are moving in circular orbits because of the force of gravity that exists between the and tend them to move in circular motion is known as mutual force of gravitational attraction is given by:

Gravitational Attraction = $\frac{GM^{2} }{4R^{2}}$

This gravitational force induces a centripetal force that makes the two bodies to move in same circular orbit that is given as follows

Centripetal force = $\frac{Mv^{2} }{R}$

Hence from the above equations two particles are tend to move in circular orbits because of the force given by the following equation

F = $\frac{-16}{r}$ - $r^{3}$

where r is the radius of the particles.

Hope my answer will entirely satisfy you.