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Analytic model for the long-term evolution of circular Earth satellite orbits including lunar node regression
Zhu, Ting-Lei1,2; Zhao, Chang-Yin1,2; Zhang, Ming-Jiang1,2
2017-04-01
Source PublicationASTROPHYSICS AND SPACE SCIENCE
ISSN0004-640X
Volume362Issue:4Pages:9
Corresponding AuthorZhao, Chang-Yin(cyzhao@pmo.ac.cn)
AbstractThis paper aims to obtain an analytic approximation to the evolution of circular orbits governed by the Earth's J(2) and the luni-solar gravitational perturbations. Assuming that the lunar orbital plane coincides with the ecliptic plane, Allan and Cook (Proc. R. Soc. A, Math. Phys. Eng. Sci. 280(1380):97, 1964) derived an analytic solution to the orbital plane evolution of circular orbits. Using their result as an intermediate solution, we establish an approximate analytic model with lunar orbital inclination and its node regression be taken into account. Finally, an approximate analytic expression is derived, which is accurate compared to the numerical results except for the resonant cases when the period of the reference orbit approximately equals the integer multiples (especially 1 or 2 times) of lunar node regression period.
KeywordOrbital plane evolution Milankovitch element Lunar node regression Analytic approximation
DOI10.1007/s10509-017-3052-9
WOS KeywordMEO REGION ; PLANE ; RESONANCES ; MOTION ; CHAOS
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000396814300008
PublisherSPRINGER
Citation statistics
Cited Times:2[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/23151
Collection中国科学院紫金山天文台
Corresponding AuthorZhao, Chang-Yin
Affiliation1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Jiangsu, Peoples R China
2.Chinese Acad Sci, PMO, Key Lab Space Object & Debris Observat, Nanjing 210008, Jiangsu, Peoples R China
Recommended Citation
GB/T 7714
Zhu, Ting-Lei,Zhao, Chang-Yin,Zhang, Ming-Jiang. Analytic model for the long-term evolution of circular Earth satellite orbits including lunar node regression[J]. ASTROPHYSICS AND SPACE SCIENCE,2017,362(4):9.
APA Zhu, Ting-Lei,Zhao, Chang-Yin,&Zhang, Ming-Jiang.(2017).Analytic model for the long-term evolution of circular Earth satellite orbits including lunar node regression.ASTROPHYSICS AND SPACE SCIENCE,362(4),9.
MLA Zhu, Ting-Lei,et al."Analytic model for the long-term evolution of circular Earth satellite orbits including lunar node regression".ASTROPHYSICS AND SPACE SCIENCE 362.4(2017):9.
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