Analytical approximation to the dynamics of a binary stars system with   time depending mass variation
  We study the classical dynamics of a binary stars when there is an interchange of mass between them. Assuming that one of the star is more massive than the other, the dynamics of the lighter one is analyzed as a function of its time depending mass variation. Within our approximations and models for mass transference, we obtain a general result which establishes that if the lightest star looses mass, its period increases. If the lightest star win mass, its period decreases. 
Gustavo V. L\'opez and Elkin L. L\'opez
physics.class-ph astro-ph.SR