Calculating the quasi-periodic distant retrograde orbit under the ephemeris model based on the adaptive two-level differential correction

IF 1.8 4区 物理与天体物理 Q3 ASTRONOMY & ASTROPHYSICS
Yujie Chen, Yanwei Zhu, Meichen Chan, Chenyuan Qiao, Haipeng Qiu
{"title":"Calculating the quasi-periodic distant retrograde orbit under the ephemeris model based on the adaptive two-level differential correction","authors":"Yujie Chen,&nbsp;Yanwei Zhu,&nbsp;Meichen Chan,&nbsp;Chenyuan Qiao,&nbsp;Haipeng Qiu","doi":"10.1007/s10509-024-04390-8","DOIUrl":null,"url":null,"abstract":"<div><p>Research on the dynamics of multi-body motion in the Earth-Moon space is a crucial area in current spacecraft motion studies. Distant Retrograde Orbits (DROs) are highly valuable trajectories in the Earth-Moon space. Under the ephemeris model, DROs will become quasi-periodic. Efficiently computing quasi-periodic DROs in the ephemeris model is a pressing issue. This paper addresses the problems of high computational time cost and significant divergence over multiple orbit cycles when calculating quasi-periodic DROs under the ephemeris model and proposes an adaptive two-level differential correction algorithm based on differential evolution. The traditional two-level differential correction selects patch points at equal intervals, while the DRO states are different with different amplitudes, choosing patch points at equal intervals is simple but not suitable for most DRO. Each quasi-periodic DRO should have its own patch points position. The adaptive two-level differential correction algorithm firstly uses differential evolution to obtain the optimal solution of the position of the patch points and then two-level differential correction is played. This algorithm significantly improving both computational efficiency and orbital convergence. Simulation results show that this algorithm significantly reduces computational costs and achieves better convergence compared to traditional two-level differential correction algorithm. This study has a reference value for the design of long-term quasi-periodic DRO, and provides a new idea for the selection strategy of patch points in the two-level differential correction algorithm and the multiple shooting algorithm.</p></div>","PeriodicalId":8644,"journal":{"name":"Astrophysics and Space Science","volume":"369 12","pages":""},"PeriodicalIF":1.8000,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Astrophysics and Space Science","FirstCategoryId":"101","ListUrlMain":"https://link.springer.com/article/10.1007/s10509-024-04390-8","RegionNum":4,"RegionCategory":"物理与天体物理","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"ASTRONOMY & ASTROPHYSICS","Score":null,"Total":0}
引用次数: 0

Abstract

Research on the dynamics of multi-body motion in the Earth-Moon space is a crucial area in current spacecraft motion studies. Distant Retrograde Orbits (DROs) are highly valuable trajectories in the Earth-Moon space. Under the ephemeris model, DROs will become quasi-periodic. Efficiently computing quasi-periodic DROs in the ephemeris model is a pressing issue. This paper addresses the problems of high computational time cost and significant divergence over multiple orbit cycles when calculating quasi-periodic DROs under the ephemeris model and proposes an adaptive two-level differential correction algorithm based on differential evolution. The traditional two-level differential correction selects patch points at equal intervals, while the DRO states are different with different amplitudes, choosing patch points at equal intervals is simple but not suitable for most DRO. Each quasi-periodic DRO should have its own patch points position. The adaptive two-level differential correction algorithm firstly uses differential evolution to obtain the optimal solution of the position of the patch points and then two-level differential correction is played. This algorithm significantly improving both computational efficiency and orbital convergence. Simulation results show that this algorithm significantly reduces computational costs and achieves better convergence compared to traditional two-level differential correction algorithm. This study has a reference value for the design of long-term quasi-periodic DRO, and provides a new idea for the selection strategy of patch points in the two-level differential correction algorithm and the multiple shooting algorithm.

Abstract Image

基于自适应两级差分校正的星历模型下的准周期远距离逆行轨道计算
本文章由计算机程序翻译,如有差异,请以英文原文为准。
求助全文
约1分钟内获得全文 求助全文
来源期刊
Astrophysics and Space Science
Astrophysics and Space Science 地学天文-天文与天体物理
CiteScore
3.40
自引率
5.30%
发文量
106
审稿时长
2-4 weeks
期刊介绍: Astrophysics and Space Science publishes original contributions and invited reviews covering the entire range of astronomy, astrophysics, astrophysical cosmology, planetary and space science and the astrophysical aspects of astrobiology. This includes both observational and theoretical research, the techniques of astronomical instrumentation and data analysis and astronomical space instrumentation. We particularly welcome papers in the general fields of high-energy astrophysics, astrophysical and astrochemical studies of the interstellar medium including star formation, planetary astrophysics, the formation and evolution of galaxies and the evolution of large scale structure in the Universe. Papers in mathematical physics or in general relativity which do not establish clear astrophysical applications will no longer be considered. The journal also publishes topically selected special issues in research fields of particular scientific interest. These consist of both invited reviews and original research papers. Conference proceedings will not be considered. All papers published in the journal are subject to thorough and strict peer-reviewing. Astrophysics and Space Science features short publication times after acceptance and colour printing free of charge.
×
引用
GB/T 7714-2015
复制
MLA
复制
APA
复制
导出至
BibTeX EndNote RefMan NoteFirst NoteExpress
×
提示
您的信息不完整,为了账户安全,请先补充。
现在去补充
×
提示
您因"违规操作"
具体请查看互助需知
我知道了
×
提示
确定
请完成安全验证×
copy
已复制链接
快去分享给好友吧!
我知道了
右上角分享
点击右上角分享
0
联系我们:info@booksci.cn Book学术提供免费学术资源搜索服务,方便国内外学者检索中英文文献。致力于提供最便捷和优质的服务体验。 Copyright © 2023 布克学术 All rights reserved.
京ICP备2023020795号-1
ghs 京公网安备 11010802042870号
Book学术文献互助
Book学术文献互助群
群 号:481959085
Book学术官方微信