The formation and evolution of accretion disks in binary systems

In this paper, we consider a close binary system consisting of a compact star and a optical Main-Sequence star which fills its critical Roche lobe and transfers matter through the inner Lagrangian pointL ₁ toward the compact object.We use the Hill's problem as the dynamical model of the binaries. The following binaries are calculated by Duncanet al.'s mapping approximation: RY Per, RZ Sct, RS Vul, and Tau. Figures 3–6 show that the trajectories of accretion disk particles in the binaries. The relation between the dimensionless semi-major axis and times of conjunctionN are presented in Figures 7–10.This work was supported by National Natural Science Foundation of China.