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针对小推力转移轨道设计问题,提出了一种结合切比雪夫多项式拟合和离散脉冲策略的分层初始设计方法.基于曲线拟合思想采用切比雪夫多项式对小推力轨道进行逼近,建立起轨道状态与时间的关系,避免了传统曲线拟合策略中时间约束的解算并舍去了速度方向假设;在全局搜索中利用低阶多项式求解边界约束得到降维解空间中的全局最优解;在此基础上,增加切比雪夫多项式的自由度并局部优化;通过脉冲离散并进一步优化求解出引入路径约束的小推力轨道.以地火交会轨道及地-火-木星借力交会轨道为例对所提方法进行了仿真验证,结果表明此方法可有效地对交会、借力轨道进行快速全局初始设计.
Aiming at the problems of small thrust transfer orbit design, a layered initial design method combining with Chebyshev polynomial fitting and discrete pulse strategy is proposed. Based on the idea of curve fitting, Chebyshev polynomials are used to approximate the small thrust trajectory, State and time, avoiding the solution of the time constraint in the traditional curve fitting strategy and discarding the speed direction hypothesis; using the low-order polynomial in the global search to solve the boundary constraint to obtain the global optimal solution in the dimensionality reduction space; On this basis, the degree of freedom of the Chebyshev polynomial is increased and the local optimization is made, and the small thrust trajectory constrained by the introduction path is solved through pulse dispersion and further optimization. The proposed method is validated by simulation. The results show that this method can effectively design a fast global initial for rendezvous and leveraging orbit.