Optimal Lambert two-impulse transfer using genetic algorithm
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摘要: 研究了初始位置和转移时间不固定的Lambert双脉冲轨道转移的数值解,用三 维图和截面图直观显示了初始位置、转移时间和速度增量的关系,并说明了其在实际工程任 务中的应用价值.基于数值解,提出了Lambert双脉冲轨道转移的优化问题.目标是找到最 优初始位置和转移时间,使燃料和时间的加权和最小.给出了遗传算法求解该优化问题的设 计步骤.该算法应用于2个算例:①平面圆轨道的燃料最优转移,并将遗传算法和Hohmann 转移的结果进行了比较;②椭圆轨道、初始位置有约束的燃料和时间最优转移.结果说明 了遗传算法寻找最优转移解是准确有效的.Abstract: Numerical solutions of Lambert two-impulse orbital transfer with unfi x ed initial position and transfer time were studied. The velocity increment versu s initial position and transfer time were showed in the 3-dimensional plots or 2 -dimensional sections, which are valuable for the practical designing tasks. Base d on the numerical solutions, the optimization problem of Lambert two-impulse or b ital transfer was then proposed and solved by genetic algorithm(GA). The goal w as to find the optimal initial position and transfer time to minimize the weight ed sum of fuel and time. This method was tested in two examples: one was the fue l optimal transfer between coplanar circular orbits, in which the computing resu lt based on GA was compared with that of Hohmann transfer. Another was the fuel and time optimal transfer between elliptical orbits of restricted initial positi on. Results indicate that GA is valid to solve the optimal transfer problems.
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Key words:
- orbital transfer /
- optimization /
- genetic algorithms
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