考虑地球扁率J2摄动影响的异面椭圆轨道多冲量最优交会

Optimal Multiple-impulse Rendezvous Between Non-coplanar Elliptic Orbits Considering the J2 Perturbation Effects

重点研究了在地球扁率影响下,固定时间内两异面椭圆轨道间的燃料最省多冲量最优交会控制问题。根据摄动理论,推导了航天器在J2摄动作用影响下进行交会飞行的运动方程,在此基础上,建立了求解多冲量最优交会问题的非线性规划模型,并针对三冲量和四冲量交会方式进行了交会轨迹的优化计算,得到了最优冲量的大小、方向及作用时刻。最后,通过仿真计算,对交会时间和冲量作用次数对燃料消耗的影响进行了比较分析。

In this paper,the minimum-fuel,time-fixed optimal multiple-impulse rendezvous between non-coplanar elliptic orbits considering the J2 perturbation effects was mainly studied.Based on the perturbation theory,the kinetic equation of spacecraft rendezvous considering the J2 perturbation effects was deduced.The nonlinear programming model of optimal multi-impulse rendezvous was set up,and the optimization results of three-impulse and four-impulse were presented,the times,magnitudes and directions of optimal imp...