{"title":"A geometric approach to optimal motion planning for close-range rendezvous and synchronization","authors":"Jun Yang Li, M. Reza Emami","doi":"10.1007/s42064-025-0273-5","DOIUrl":null,"url":null,"abstract":"<div><p>Fuel-optimal orbit-attitude motion planning for spacecraft close-range rendezvous and synchronization requires solving a two-point boundary value problem with continuous input actuation. This paper presents a geometric approach to the problem, which not only encompasses both translational and rotational dynamics, but also incorporates a novel adaptive multiplier method to enforce actuation constraints during the optimization process. Further, in the case of underactuation, such as small single-thruster spacecraft, the paper proposes a guided technique for the geometric approach to direct the attitude using the optimal translational trajectory. The geometric approach is verified through several case studies, where it is compared against a direct method optimization and a concurrent controller, to demonstrate the computational efficiency as well as resulting optimal trajectories of the approach.</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":52291,"journal":{"name":"Astrodynamics","volume":"9 4","pages":"621 - 642"},"PeriodicalIF":6.5000,"publicationDate":"2025-07-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astrodynamics","FirstCategoryId":"1087","ListUrlMain":"https://link.springer.com/article/10.1007/s42064-025-0273-5","RegionNum":1,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0
Abstract
Fuel-optimal orbit-attitude motion planning for spacecraft close-range rendezvous and synchronization requires solving a two-point boundary value problem with continuous input actuation. This paper presents a geometric approach to the problem, which not only encompasses both translational and rotational dynamics, but also incorporates a novel adaptive multiplier method to enforce actuation constraints during the optimization process. Further, in the case of underactuation, such as small single-thruster spacecraft, the paper proposes a guided technique for the geometric approach to direct the attitude using the optimal translational trajectory. The geometric approach is verified through several case studies, where it is compared against a direct method optimization and a concurrent controller, to demonstrate the computational efficiency as well as resulting optimal trajectories of the approach.
期刊介绍：
Astrodynamics is a peer-reviewed international journal that is co-published by Tsinghua University Press and Springer. The high-quality peer-reviewed articles of original research, comprehensive review, mission accomplishments, and technical comments in all fields of astrodynamics will be given priorities for publication. In addition, related research in astronomy and astrophysics that takes advantages of the analytical and computational methods of astrodynamics is also welcome. Astrodynamics would like to invite all of the astrodynamics specialists to submit their research articles to this new journal. Currently, the scope of the journal includes, but is not limited to:Fundamental orbital dynamicsSpacecraft trajectory optimization and space mission designOrbit determination and prediction, autonomous orbital navigationSpacecraft attitude determination, control, and dynamicsGuidance and control of spacecraft and space robotsSpacecraft constellation design and formation flyingModelling, analysis, and optimization of innovative space systemsNovel concepts for space engineering and interdisciplinary applicationsThe effort of the Editorial Board will be ensuring the journal to publish novel researches that advance the field, and will provide authors with a productive, fair, and timely review experience. It is our sincere hope that all researchers in the field of astrodynamics will eagerly access this journal, Astrodynamics, as either authors or readers, making it an illustrious journal that will shape our future space explorations and discoveries.
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