Suboptimal control synthesis of the interplanetary spacecraft orientation angle at speed drop inside the Mars atmosphere

The article considers a dynamic system describing the spatial movement inside the atmosphere at the invariable altitude of the interplanetary spacecraft with small asymmetry at speed drop of flight. The purpose of work is suboptimal control synthesis of the orientation angle, which considers change of the value of generalized aerodynamic and inertial asymmetry function for task of speed drop of the interplanetary spacecraft inside the atmosphere at the invariable flight altitude. Bellman’s dynamic programming method and non-resonance scheme of averaging method are applied to task solution of control synthesis. The reliability of results is confirmed by numerical modeling of the spacecraft movement with small aerodynamic and inertial asymmetries at invariable altitude inside the Mars atmosphere.