Orbit Transfer Optimization for Asteroid Missions Using Weighted Cost Function
Orbit Transfer Optimization for Asteroid Missions Using Weighted Cost Function
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DOI：
10.2514/1.g000359
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发表时间：
2015-03
影响因子：
2.6
通讯作者：
B. Sarli;Y. Kawakatsu
中科院分区：
文献类型：
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作者：
B. Sarli;Y. Kawakatsu
本文提出了一种基于引物向量理论的弹道优化方法，并对该方法进行了改进以适应代价函数中的权重。这种变化是由于需要通过间接方法进行快速准确的分析，该方法考虑到了离开行星时使用的速度增量，特别是对于飞越任务，忽略了最后的会合脉冲。详细推导了加权成本函数及其梯度，然后讨论了飞越和交会任务的权重值。为了测试优化方法，选择现实的测试用例，并将其结果与使用Lambert问题的解决方案和非线性规划求解器的优化的轨迹进行比较。所提出的方法显示了一个快速的弹道设计与中段脉冲，这比其他两种方法计算的轨迹成本更低。
This paper presents a method of trajectory optimization based on the well-known primer vector theory, which is modified to accommodate weights in the cost function. This change arises from the need of a fast and accurate analysis obtained with an indirect method that takes into account the velocity increment used for departure from the planet and, particularly for flyby missions, the disregard of the last rendezvous impulse. A detailed derivation of the weighted cost function and its gradient is presented, followed by a discussion on the values of the weights specifically for flyby and rendezvous missions. To test the optimization method, realistic test cases are selected and their results compared against a trajectory using the solution of the Lambert problem and optimization by a nonlinear programming solver. The proposed method showed a fast design of a trajectory with a midcourse impulse, which costs less than the trajectories calculated by the other two methods.