Three-Body Problem with Variable Masses

The study of the dynamics of space systems with variable masses is now an urgent task in the natural sciences. In this regard, we consider the problem of three-body with masses changing isotropically in the different rates. The bodies are assumed as material points. Eccentricities and inclinations of the orbits of the bodies are considered to be small quantities, masses of the bodies comparable to each other. The differential equations of motion of the investigated problem are obtained in the osculating elements of an aperiodic motion on the quasiconic section. Secular parts of the perturbing functions are calculated analogues of the second system of the Poincare elements with the use of the system "Mathematica". A comparable