V.S. Verba - Dr.Sc.(Eng.), professor, Honored Scientist of the Russian Federation, general director - general designer of JSC «Concern «Vega»
D.N. Suzansky - Ph.D.(Eng.), associate professor, head of department, JSC «Concern «Vega»

A method of construction of preferable trajectories of flight based on inverse dynamic problem is studied. Analytic description of such trajectories is formed based on fluid dynamics. A reference trajectory is selected from a set of streamlines obtained during solution of initial-value problem of flow-around for a nonviscous liquid. Traversal of the trajectory is realised with guidance obtained after two stages: formation of guidance structure based on state vector restrictions and computation of the guidance structure with predetermined motion quality functional. Realisation of proposed method is illustrated by the problem of obstacle avoidance in horizontal plane. Approximation of obstacles by circles allows to form a system of differential equations, which, by the way of its phase pattern, enables to select the preferable trajectory from the set.