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对包含引力辅助变轨的三体Lambert问题提出了一种数值求解算法,分为转移轨道初始设计和终值搜索两部分.采用伪状态理论,通过简单迭代求解高精度的转移轨道初始设计结果,在此基础之上,通过数值积分在更复杂的摄动环境中,计算精确的转移轨道和一二阶状态转移矩阵,并利用二阶微分修正算法搜索最终解.经过数值算例检验,这种方法具有较高的效率和鲁棒性,可以有效解决三体系统中引力辅助转移轨道的高敏感性问题.
A three-body Lambert problem with gravitational-assisted orbitals is proposed, which is divided into two parts: the initial design of transfer trajectory and the final value search. By using the pseudo-state theory, the initial design results of high-accuracy transfer orbits are solved by simple iteration, On this basis, numerical transitions are used to calculate the exact orbits and first- and second-order state transition matrices in more complicated perturbation environments, and the second-order differential correction algorithm is used to search for the final solution. After numerical example tests, The method has high efficiency and robustness, and can effectively solve the problem of high sensitivity of gravitational-assisted transfer orbits in a three-body system.