In this paper we study the problem of constructing impulse flights between neighborhoods of unstable collinear libration points of the Sun-Earth system [1]. Such maneuvering in near-Earth space may prove to be in demand in modern space navigation. For example, such a maneuvering was done by the space vehicle GENESIS. Three test points are chosen for the implementation of the impulse control, in order to move to a neighborhood of the libration point L₂. It is shown that the earlier on the exit from the vicinity of the libration point L₁ impulse control was realized, the sooner the neighborhood L₂ was achieved. Separated from this problem, the problem of optimal control in the neighborhood of L₂ was considered and a form of stabilizing control is presented.