Exploration and Maintenance of Homeomorphic Orbit Revs in the Elliptic Restricted Three-Body Problem

IF 4.6 Q2 MATERIALS SCIENCE, BIOMATERIALS ACS Applied Bio Materials Pub Date : 2024-05-17 DOI:10.3390/aerospace11050407
Kevin I. Alvarado, Sandeep K. Singh
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Abstract

A novel station-keeping strategy leveraging periodic revolutions of homeomorphic orbits in the Elliptic Restricted Three-Body Problem within the pulsating frame is presented. A systemic approach founded on arc-length continuation is presented for the discovery, computation, and classification of periodic revolutions that morph from their traditional circular restricted three-body counterparts to build an a priori dataset. The dataset is comprehensive in covering all possible geometric architectures of the restricted problem. Shape similarity is quantified using Hausdorff distance and works as a filter for the station-keeping algorithm in relation to appropriate target conditions. Finally, an efficient scheme to quantify impulsive orbit maintenance maneuvers that minimize the total fuel cost is presented. The proposed approach is salient in its generic applicability across any elliptic three-body system and any periodic orbit family. Finally, average annual station-keeping costs using the described methodology are quantified for selected “orbits of interest” in the cis-lunar and the Sun–Earth systems. The robustness and efficacy of the approach instill confidence in its applicability for realistic mission design scenarios.
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椭圆受限三体问题中的同构轨道旋转探索与维持
本文提出了一种新颖的守站策略,利用脉动框架内椭圆受限三体问题中同构轨道的周期性旋转。本文提出了一种基于弧长延续的系统方法,用于发现、计算和分类从传统圆形受限三体对应物变形而来的周期性旋转,从而建立一个先验数据集。该数据集全面涵盖了受限问题的所有可能几何结构。使用豪斯多夫距离对形状相似性进行量化,并根据适当的目标条件作为定点保持算法的过滤器。最后,介绍了一种量化冲动性轨道维护机动的有效方案,该方案能使总燃料成本最小化。所提出的方法的显著特点是可通用于任何椭圆三体系统和任何周期轨道族。最后,使用所述方法对顺月和日地系统中选定的 "相关轨道 "进行了量化,得出了年平均驻留成本。该方法的稳健性和有效性使人们对其在现实飞行任务设计方案中的适用性充满信心。
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来源期刊
ACS Applied Bio Materials
ACS Applied Bio Materials Chemistry-Chemistry (all)
CiteScore
9.40
自引率
2.10%
发文量
464
期刊介绍: ACS Applied Bio Materials is an interdisciplinary journal publishing original research covering all aspects of biomaterials and biointerfaces including and beyond the traditional biosensing, biomedical and therapeutic applications. The journal is devoted to reports of new and original experimental and theoretical research of an applied nature that integrates knowledge in the areas of materials, engineering, physics, bioscience, and chemistry into important bio applications. The journal is specifically interested in work that addresses the relationship between structure and function and assesses the stability and degradation of materials under relevant environmental and biological conditions.
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