空间交会中多圈Lambert变轨算法研究

用两个位置和飞行时间来决定轨道的问题 ,即Gauss问题 ,是航天动力学中的一个基本问题。而Lambert交会问题是Gauss问题在航天器空间交会领域的具体化。文中提出了一种新的算法 ,解决了航天器多圈Lambert变轨的求解问题 ,由此来寻求在飞行时间较长的情况下 ,航天器的Lambert交会燃料最优轨道 ;并由算例验证了这种算法的正确性和鲁棒性

Research on Algorithm of Loopy Lambert Transfer in Space Rendezvous

A basic problem of spaceflight dynamics named Gauss problem is how to determine the orbit by the information of the two positions and flight time. The problem of Lambert rendezvous is the embodiment of Gauss problem in the field of spacecraft rendezvous. This paper issues a new algorithm, which can solve the problem about loopy Lambert transfer of spacecraft. Then the result is applied to search for the orbit of Lambert transfer of spacecraft whose fuel penalty is optimal under the condition of long-time flight. The calculation results validate the correctness and robustness of the algorithm.