包含引力辅助变轨的三体Lambert问题求解算法

Solution algorithm of the three-body lambert problem with gravity assist maneuver

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 new numerical solution algorithm for the three-body Lambert problem with gravity assist ma- neuver was developed. The algorithm was divided into two parts, the initial solution design and the searching for the final solution. The pseudostate theory was adopted to get the initial solution of the three-body Lambert problem. Based on that, the transfer trajectory and the state transition matrix were calculated by tegration in the real dynamic solution. The numerical model. A second order differential-correction method examples were used to test the reliability and the effi was employed numerical in- to find the fi- ciency of the algorithm