摄动椭圆参考轨道上的最优精确交会

Fuel-optimal Precise Rendezvous Guidance Law in Elliptical Reference Orbit with J_2 Perturbation

针对椭圆参考轨道附近的交会问题,给出了数值梯度寻优算法和遗传寻优算法用于确定最优转移时间和最优双脉冲,并解决了双脉冲半圈交会和整圈交会的奇异问题。在此基础上,考虑地球J2带谐项对相对运动的影响,给出了采用线性梯度的迭代算法,并将其用于摄动下的燃料最优双脉冲交会制导。采用不同偏心率的参考轨道进行了交会仿真,结果表明该迭代交会制导算法简单可行,适用于圆参考轨道和任意偏心率的椭圆参考轨道附近的远距离交会。

For rendezvous near an elliptical reference orbit,a numerical gradient algorithm and a genetic algorithm for optimization were adopted to determine the optimal transfer time and impulses.The solutions for half-revolution and complete-revolution rendezvous were also given to eliminate the singularities.Based on the optimization algorithms,a two-impulse iteration method with linear gradient was proposed for rendezvous guidance to eliminate the impact of J2 perturbation on relative motion.The simulation results of rendezvous near reference orbit with different eccentricities show that the guidance algorithm is simple,feasible and can be used in remote rendezvous near circle and arbitrary elliptical reference orbit.