motion of the body are obtained, which can only be solved numerically. The equilibrium equations are solved and the basic stationary modes of body motion are obtained. The main result is the most gentle body planning mode. In the matlab computer mathematics system, a set of programs is written that searches for a numerical solution and outputs trajectories. The movement of the modes under consideration is modeled and the stability of the main modes is looked at using numerical calculations.

Keywords: body, planning mode, stability, geometric dimensions

This article highlights the theoretical results of analytical research in the field of the use of tethered balloons as carriers of barrier networks, which can be used as passive protection of particularly important civil and industrial facilities from unmanned aerial vehicles and other low-flying means of air attack. A diagram of an aerostatic barrier system, theoretically capable of countering air attack means, is presented. The elements of the methodology for determining the probability of damage to aircraft from cable type air barriers are presented.

Keywords: aerostatic air barrier system, unmanned aerial vehicles, tethered balloons, aerial protection of ground objects