A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal masses. The first mass…

A body of mass $\displaystyle m$ is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two equal masses. The first mass moves in a circular orbit of radius $\displaystyle \frac{R}{2}$, and the other mass, in a circular orbit of radius $\displaystyle \frac{3 R}{2}$. The difference between the final and initial total energies is :