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AN EXPLORATION OF NUMERICAL METHODS FOR LOW-THRUST TRAJECTORY OPTIMIZATION IN N-BODY MODELS

机译：N-Body模型中低推力轨迹优化数值方法的探索

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In this paper, a method for low-thrust trajectory optimization in n-body vector fields has been explored. In the context of direct transcription, a collocation method based on Gauss-Lobatto schemes has been implemented. With this method, arbitrary order integrations with variable grid points can be performed by only changing the parameters of a common, compact integration scheme. This strategy turns out to be efficient when applied to n-body models where the highly nonlinearities ask for a great number of integration points. Applications are given for the case of low-thrust transfers to the Lagrange point orbits of the Earth-Moon system as well as for hybrid transfers to the Moon. This work represents the first step toward the implementation of an integrated tool for the fast low-thrust trajectory optimization within highly nonlinear models.
机译：在本文中，探讨了N-Body矢量字段中低推力轨迹优化的方法。在直接转录的背景下，已经实施了基于Gauss-Lobatto方案的搭配方法。通过这种方法，可以仅通过更改常见的紧凑积分方案的参数来执行具有可变网格点的任意顺序集成。当应用于高度非线性要求大量集成点时，该策略在应用于N-Body模型时效率为高效。对地球系统的拉伸点轨道的低推力转移的应用以及对月球的混合传输给出的应用。这项工作代表了在高度非线性模型中实现了快速低推力轨迹优化的集成工具的第一步。

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