The aim of the study is to develop effective algorithms for designing and analyzing trajectories of spacecraft in deep space. In the dissertation three problems are solved. The first problem considers flights between easily accessible near-Earth orbits and halo-orbits around the L₁ point of the Earth-Moon system. The second problem concerns the transition from halo orbits to near-moon orbits along unstable manifolds. The third task is devoted to saving the mission around the libration points L₁ and L₂ of the Earth – Moon and Sun – Earth systems in the event of an abnormal correction delay caused by a temporary loss of communication with the spacecraft or a temporary engine malfunction.

small spacecraft, halo orbits, lunar orbits, mini-camera, nano-camera

Theoretical and applied problems of mechanics