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Multi-rendezvous low-thrust trajectory optimization using costate transforming and homotopic approach

机译：采用耗时转换和同型方法的多串低推力轨迹优化

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摘要

This paper investigates a method for optimizing multi-rendezvous low-thrust trajectories using indirect methods. An efficient technique, labeled costate transforming, is proposed to optimize multiple trajectory legs simultaneously rather than optimizing each trajectory leg individually. Complex inner-point constraints and a large number of free variables are one main challenge in optimizing multi-leg transfers via shooting algorithms. Such a difficulty is reduced by first optimizing each trajectory leg individually. The results may be, next, utilized as an initial guess in the simultaneous optimization of multiple trajectory legs. In this paper, the limitations of similar techniques in previous research is surpassed and a homotopic approach is employed to improve the convergence efficiency of the shooting process in multi-rendezvous low-thrust trajectory optimization. Numerical examples demonstrate that newly introduced techniques are valid and efficient.
机译：本文研究了使用间接方法优化多元化低推力轨迹的方法。 有效的技术标记为昂贵的变换，以便同时优化多个轨迹腿，而不是单独优化每个轨迹腿。 复杂的内点约束和大量的自由变量是通过拍摄算法优化多腿传输的主要挑战。 通过单独优化每个轨迹腿来减少这种困难。 结果可以是在同时优化多个轨迹腿的初始猜测中。 在本文中，超越了先前研究中类似技术的局限性，并且采用了同型方法来提高多串低推力轨迹优化中拍摄过程的收敛效率。 数值例证表明新引入的技术有效且有效。

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