Consider a star of mass $$m_2$$ kg revolving in a circular orbit around another star of mass $$m_1$$ kg with $$m_1 \gg m_2$$. 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 $$\frac{1}{r}\frac{dr}{dt}$$ (in s$$^{-1}$$) is given by: