ИСТИНА

The dynamical evolution of triple hierarchical stellar systems is studied. We consider the motion in the frame of the general three-body problem. In the differential equations of motion we used the Hamiltonian without short-periodic terms. In the obtained solution the mean motions of the both components have the secular terms. Under the influence of perturbations of a distant companion the mean motion in the near pair is slowed and vice versa. Secular accelerations of the mean motion are added by perturbations of the third order. This changes are little, but on the cosmological time interval the hierarchical systems will convert to stellar systems which components have comparable distances. Such systems are unstable. They will either rapidly dissipated or stay to persist as binaries.