关键词: 飞行器控制、导航技术, 三脉冲最优交会, 主矢量曲线, 线性化运动方程

Abstract: Aiming at the problem of rendezvous between 2 spacecrafts, an optimal, most fuelsaving 3impulse rendezvous method was investigated. The necessary and sufficient conditions for the optimal solution of the 3impulse rendezvous whether or not with terminal coastings were derived, and the corresponding solution method was given respectively. The solution of the optimal 3impulse rendezvous is a multivariable iteration process. For the 3impulse rendezvous with terminal coastings, the symmetry characteristic of optimal 4impulse rendezvous was applied to reduce the number of the iteration variables to save the calculation consumption. The correctness and effectiveness of the proposed solution were proved by the digital simulations. The simulation results showed that for the given initial states, there are no optimal solutions for 2impulse and 4impulse rendezvous except that for the 3impulse rendezvous in some time intervals, and the optimal 3impulse rendezvous is a method characterized by reasonable fuel and time consumptions.

Key words: control and navigation technology of aerocraft, optimal threeimpulse rendezvous, primary vector trajectory, linearization equations of motion