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arXiv 2608.19654astro-ph.EPastro-ph.IM

用于行星际转移设计的衍射帆单脉冲可达集

Diffractive-Sail Single-Impulse Reachable Set for Interplanetary Transfer Design

Shuyue Fu, Jinkai Zhang, Di Wu, Peng Shi, Shengping Gong

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中文总结 AI 辅助

本文针对行星际转移设计问题,提出结合微分代数与自适应网格细化的可达集计算方法,将其应用于衍射帆的地球-火星转移设计,验证了方法有效性并分析了参数影响。

中文摘要 AI 辅助

行星探索的兴趣已重新兴起,行星际转移的设计受到了显著关注。本文研究利用衍射帆的行星际转移设计,考虑非零的出发双曲线过剩速度,将行星际转移问题转化为计算单脉冲可达集的问题。随后,基于已有工作,提出一种结合微分代数与自适应网格细化的、适用于任意动力学下可达集的互补计算方法;该自适应网格细化考虑两类品质分数,分别反映动力学特性与微分代数传播的截断误差。将所提方法应用于计算衍射帆的可达集,结果验证了该方法及品质分数的有效性。最后,基于衍射帆可达集开展了地球-火星转移的初步设计,给出了设计结果,并分析了转移时间、衍射角、衍射帆类型等对应参数对转移特性的影响,为行星际转移设计的参数选择提供了进一步的见解。

英文摘要

Interest in planetary exploration has renewed, and the design of interplanetary transfers has attracted remarkable attention. This paper considers the interplanetary transfer design using a diffractive sail. Considering a nonzero departure hyperbolic excess velocity, the interplanetary transfer problem is transformed into the problem of computing single-impulse reachable sets. Then, based on previous work, a complementary computational method for reachable sets under arbitrary dynamics is proposed using differential algebra combined with adaptive grid refinement. The adaptive grid refinement considers two types of merit scores that reveal dynamical properties and the truncation error of the differential algebra propagation. The proposed method is applied to compute the diffractive-sail reachable sets, and the results verify the effectiveness of the method and merit scores. Finally, a preliminary design of the interplanetary transfers, specified as the Earth-Mars transfers, is performed based on the diffractive-sail reachable sets. The design results are presented. The effects of the corresponding parameters, including transfer time, diffractive angle, and type of diffractive sails, on transfer characteristics are analyzed, providing further insight into parameter selection for interplanetary transfer design.

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