{"title":"A review of model extensions and solution methods for space orbital games","authors":"Yazhong Luo, Yuelong Luo, Zhenyu Li","doi":"10.1007/s42064-026-0320-x","DOIUrl":null,"url":null,"abstract":"<div><p>The increase in human space activities has increased space threats, such as debris and failed spacecraft, which has made space orbital game technology a critical tool for ensuring space security. Although differential game theory remains the mainstream approach for classic space orbital games, its application faces growing limitations because of nonlinear orbital dynamics, model complexity, computational intractability, and poor real-time performance in increasingly complex scenarios. To address these challenges, numerous extended orbital game models have been developed in recent years, along with new solution methods. This review provides a systematic analysis and summary of model extensions and solution methods in orbital games. First, the extension directions of space orbital games are analyzed, and five extended game models based on the basic orbital game model are summarized: the closed-loop guidance model, incomplete information model, diverse scenario game model, impulsive thrust model, and multispacecraft game model. Afterward, research achievements in solution methods, including qualitative differential games, quantitative differential games, and artificial intelligence methods, are categorized and reviewed. Finally, current challenges and potential future research directions are discussed.</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":52291,"journal":{"name":"Astrodynamics","volume":"10 5","pages":"707 - 745"},"PeriodicalIF":8.1000,"publicationDate":"2026-07-14","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/s42064-026-0320-x","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
The increase in human space activities has increased space threats, such as debris and failed spacecraft, which has made space orbital game technology a critical tool for ensuring space security. Although differential game theory remains the mainstream approach for classic space orbital games, its application faces growing limitations because of nonlinear orbital dynamics, model complexity, computational intractability, and poor real-time performance in increasingly complex scenarios. To address these challenges, numerous extended orbital game models have been developed in recent years, along with new solution methods. This review provides a systematic analysis and summary of model extensions and solution methods in orbital games. First, the extension directions of space orbital games are analyzed, and five extended game models based on the basic orbital game model are summarized: the closed-loop guidance model, incomplete information model, diverse scenario game model, impulsive thrust model, and multispacecraft game model. Afterward, research achievements in solution methods, including qualitative differential games, quantitative differential games, and artificial intelligence methods, are categorized and reviewed. Finally, current challenges and potential future research directions are discussed.
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.