一类最省燃料优先的多圈飞行脉冲交会

通过分析采用多圈飞行Lambert解的双脉冲交会的特征速度与转移轨道半长轴的关系,指出其最优解实际上是2N+1条满足时间约束的转移轨道中燃料较省的,而非最省燃料轨道.提出将双脉冲交会的首次脉冲矢量分解成方向相同的两次脉冲,使得追踪器在特定的滑行轨道飞行N圈以消耗多余的转移时间,利用剩余的转移时间沿最省燃料轨道与目标交会.几何上证明了这种交会的特征速度与最省燃料转移相同,并且给出了解的存在性条件.通过仿真验证了这种交会比采用多圈飞行Lambert解的双脉冲交会更省燃料,解的存在性对转移时间的长度要求更低.

Class of multiple-revolution impulsive rendezvous with priority of minimum fuel

For two-impulsive rendezvous using multiple-revolution Lambert solutions, the relationship between characteristic velocity (Δv) and semi-major axis of transfer trajectory was considered. It was proposed that the optimal solution actually is the less fuel trajectory among 2N+1 trajectories satisfying time constraint, but not the minimum fuel trajectory(MFT). As the first impulse of two-impulsive rendezvous was dissembled into two impulses with the same direction, a chaser could consume the redundant transfer time by coasting N revolutions on a specified orbit, and rendezvous a target on MFT in the rest transfer time. It was proved that Δv of this rendezvous coincide with that of minimum fuel transfer in geometry. The existence of solutions was given. Some simulations show that this rendezvous can save fuel and the existence of solutions is more loosely restrictive on the length of transfer time than two-impulsive rendezvous using multiple-revolution Lambert solutions.