The multiple phases of the skip entry trajectory are coupled with each other, so the land?ing footprint computation and analysis of the skip entry is much more difficult than that of the direct entry. To solve this problem, the mathematical descriptions of the reachable set and the landing foot?print were given. On this basis, the landing footprint problem was converted into two optimal control problems, and the corresponding optimal models were established. Then, a two?step optimization strategy based on Gauss pseudospectral method ( GPM) was used to obtain the landing footprint. The effects of initial condition ( entry flight path angle and heading angle) on landing footprint were analyzed. The simulation results indicate that the two?step optimization strategy has good perform?ance on both computational accuracy and efficiency.%针对探月飞船跳跃式再入轨迹分段多、段与段相互耦合、可达域求解与分析较直接再入更加困难的问题,给出了跳跃式再入轨迹可达域的数学描述,在此基础上将可达域求解问题拆分为两类最优控制问题,并建立了相应的优化模型.采用基于高斯伪谱法的两步优化策略进行求解,得到了跳跃式再入轨迹可达域边界.最后分析了初始条件(再入角、再入方位角)对可达域的影响.仿真结果表明两步优化策略能兼顾计算精度和计算效率.
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