Development of accelerated methods and algorithms for phase AC trajectory calculations and mathematical modeling of perturbed motions

Accelerated algorithms are developed for phase trajectories calculations of complex control systems and graph-operator models with interactive subsystems. By theoretical investigations and numerical experiments it was proved that asymptotically-solve operator may be used to calculate phase trajectories with improved accuracy. By numerical experiments it was prooved they may be used to calculate optimized phase trajectories on examples of solving problems of building optimized AC phase trajectories, where the constructing of adequate mathematical and computer models of interacting subsystems includes modeling of subsystems for real-time calculations of atmosphere parameters, aerodynamic coefficients, aerodynamic forces and moments, engines power and the total forces and moments needed for calculations of optimized phase tragectories. Methods for accelerated calculations of maneuver trajectories under given terminal conditions are developed.