PMO OpenIR
The secular analytical solution of the orbital plane using Lindstedt-Poincare method
Yu, Shengxian1; Zhao, Changyin; Zhang, Wei
2017-11-15
Source PublicationADVANCES IN SPACE RESEARCH
ISSN0273-1177
Volume60Issue:10Pages:2166-2180
Corresponding AuthorYu, Shengxian(yusx@pmo.ac.cn)
AbstractNowadays, the increasing amount of space objects makes the space so crowded that the satellites in orbit endure severe environment. Hence how to efficiently search and catalog these space objects becomes an urgent problem to be solved. In the paper, in order to contribute to this problem, the secular analytical solution of the orbital plane for medium and high orbit objects is studied. For medium and high orbit objects, the Earth's oblateness and the lunisolar gravitational perturbations are considered. The double averaging method is used to first average the system. For small to medium orbit inclinations and small eccentricities, and then the differential equations can be rewritten in an expansion form. Combining the Lindstedt-Poincare procedure and the solution for differential equations with special coefficients, the third-order analytical solutions can be derived step by step. Finally, two kinds of comparisons are carried out. One is the comparison between the analytical solution and the results derived by integrating the simplified model. It aims to verify the validity of these methods. The other one is the comparison with the integration results of the normal model to show the accuracy of the analytical solution. Both of the two comparisons results work well. The accuracy of the analytical solution can be maintained at the order of O(10(-3)) for the duration of 200 yrs. (C) 2017 COSPAR. Published by Elsevier Ltd. All rights reserved.
KeywordAnalytical solution Space object Lindstedt-Poincare procedure
DOI10.1016/j.asr.2017.08.032
WOS KeywordCIRCULAR ORBIT ; MOTION
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics ; Geology ; Meteorology & Atmospheric Sciences
WOS SubjectAstronomy & Astrophysics ; Geosciences, Multidisciplinary ; Meteorology & Atmospheric Sciences
WOS IDWOS:000414885000005
PublisherELSEVIER SCI LTD
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/22563
Collection中国科学院紫金山天文台
Corresponding AuthorYu, Shengxian
Affiliation1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Jiangsu, Peoples R China
2.Chinese Acad Sci, Key Lab Space Object & Debris Observat, Nanjing 210008, Jiangsu, Peoples R China
Recommended Citation
GB/T 7714
Yu, Shengxian,Zhao, Changyin,Zhang, Wei. The secular analytical solution of the orbital plane using Lindstedt-Poincare method[J]. ADVANCES IN SPACE RESEARCH,2017,60(10):2166-2180.
APA Yu, Shengxian,Zhao, Changyin,&Zhang, Wei.(2017).The secular analytical solution of the orbital plane using Lindstedt-Poincare method.ADVANCES IN SPACE RESEARCH,60(10),2166-2180.
MLA Yu, Shengxian,et al."The secular analytical solution of the orbital plane using Lindstedt-Poincare method".ADVANCES IN SPACE RESEARCH 60.10(2017):2166-2180.
Files in This Item:
There are no files associated with this item.
Related Services
Recommend this item
Bookmark
Usage statistics
Export to Endnote
Google Scholar
Similar articles in Google Scholar
[Yu, Shengxian]'s Articles
[Zhao, Changyin]'s Articles
[Zhang, Wei]'s Articles
Baidu academic
Similar articles in Baidu academic
[Yu, Shengxian]'s Articles
[Zhao, Changyin]'s Articles
[Zhang, Wei]'s Articles
Bing Scholar
Similar articles in Bing Scholar
[Yu, Shengxian]'s Articles
[Zhao, Changyin]'s Articles
[Zhang, Wei]'s Articles
Terms of Use
No data!
Social Bookmark/Share
All comments (0)
No comment.
 

Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.