Consider a star of mass m2 kg revolving in a circular orbit around another star of mass m1 kg with m1>>m2. The heavier star slowly acquires mass from the lighter star at a constant rate of $\gamma$kg/s. In this transfer process, there is no other loss of mass. If the separation between the centers of the stars is r , then its relative rate of change $\frac{1}{r} \frac{d r}{d t}\left(\right.$ in $\left.\mathrm{s}^{-1}\right)$ is given by: