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研究了初始位置、目标位置和转移时间均不固定的双冲量Lambert转移问题,旨在实现燃料和转移时间的综合最优。在对Lambert飞行时间定理推导的基础上,提出了一种遗传算法和迭代法相结合的优化算法,并给出了算法的设计步骤;同时,对影响遗传算法寻优性能的两个参数进行了自适应调整,提高了算法的收敛性。最后,通过两个实例验证了所提算法的有效性和准确性。
The two-impulsive Lambert transfer problem with initial position, target position and transfer time is not fixed. The aim is to achieve the optimal combination of fuel and transfer time. Based on the derivation of the Lambert time-of-flight theorem, an optimization algorithm based on genetic algorithm and iterative method is proposed, and the design steps of the algorithm are given. At the same time, two parameters that affect the optimization performance of genetic algorithm Adapt to the adjustment, improve the convergence of the algorithm. Finally, two examples are used to verify the validity and accuracy of the proposed algorithm.