Efficiency of terminal control in the trans-atmospheric first stage of an aerospace system under atmospheric and aerodynamic disturbances

Multi-step terminal control of the subhypersonic first stage of an aerospace system in trans-atmospheric climb is considered. Passive motion of spacecraft in conditions of joint influence of atmospheric and aerodynamic disturbance is analyzed. Achieving the prescribed value of the trajectory inclination angle is the terminal motion condition. Terminal height is a controlled value. An algorithm of terminal control for the formation of the command value of aerodynamic lift coefficient is proposed. The Newton method with one or more iterations at a control step is used in determining command control. The serviceability and efficiency of the algorithm compensating the influence of atmospheric and aerodynamic disturbances on the preset terminal altitude condition of spacecraft motion are analyzed. The results of simulating spacecraft motion with terminal control for maximally rarefied atmosphere and for different levels of deviation of the drag coefficient are discussed.