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针对椭圆参考轨道交会问题,采用T-H方程描述相对运动,提出了一种时间固定燃料最省的多脉冲最优交会方法,优化参数为交会脉冲及其施加时刻.当考虑到J2摄动或航天器初始相对距离较大时,用T-H方程进行状态预测其线性化误差一般不容忽略,而若用轨道积分预测则耗时较多,进而导致优化时间过长.针对此问题,提出一种采用前一优化脉冲节点的状态导出的轨道根数预测当前节点状态的预测方法.该方法简单实用,有效地加快了优化收敛速度.最后基于多脉冲优化解进行了数值轨道积分以验证交会精度.仿真结果表明,即使加上J2摄动,在初始相对距离为1000km时,该方法的终端位置精度仍能达到75m.
Aiming at the problem of intersection of elliptical reference track, the TH equation is used to describe the relative motion, and a multi-pulse optimal intersection method is proposed which is the least time-fixed fuel, and the optimal parameters are the intersection pulse and its application moment.When considering J2 perturbation or spacecraft When the initial relative distance is large, the error of linearization predicted by TH equation can not be neglected generally, but if the orbit integral prediction is more time-consuming, then the optimization time is too long.To solve this problem, The method of forecasting the current state of the node is optimized by optimizing the number of orbits exported by the state of the pulse node.The method is simple and practical and effectively accelerates the optimization convergence speed.Finally, numerical orbital integration is performed based on the multi-pulse optimization solution to verify the accuracy of the intersection.The simulation results show Even with J2 perturbation, the terminal position accuracy of the method can still reach 75m when the initial relative distance is 1000km.