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Long term evolution of Molniya orbit under the effect of Earth's non-spherical gravitational perturbation
Zhu, Ting-Lei1,2,3; Zhao, Chang-Yin1,2; Zhang, Ming-Jiang1,2,3
2014-07-15
Source PublicationADVANCES IN SPACE RESEARCH
ISSN0273-1177
Volume54Issue:2Pages:197-208
AbstractA double resonance model is applied to study the long term evolution of a Molniya orbit, which is highly elliptical (e >= 0.7), critically inclined (i approximate to 63.4 degrees), and in the state of the 2:1 mean motion resonance with the Earth rotation. The dynamics of a Molniya orbit can be divided into three kinds: short (12 h), intermediate (several years) and long (several centuries) period motions, with the latter two studied in this paper. The J(2) and J(12) (l = 2, 3,..., 8) harmonics are modelled, based on a careful selection. The analytic solution for the intermediate period motion is obtained, a first integral, (I) over bar (3), for the long period motion is derived analytically, and the phase structures are obtained by the level curves of (I) over bar (3). Three types of the phase structures, depending on the equilibria and stabilities, are observed when the Hamiltonian constant varies. Compared with the near circular 12-h satellite orbits and with the critically inclined orbits without mean motion resonance with the Earth rotation, the features of the Molniya orbits are discussed in detail. It is pointed out that (1) unlike the case of near circular orbits, the J(32) term does not dominate the 2:1 mean motion resonance problem (intermediate period motion), and that (2) instead of the J(2)(2) terms, the resonant tesseral harmonics dominate the critical inclination problem (long period motion). (C) 2014 COSPAR. Published by Elsevier Ltd. All rights reserved.
KeywordMolniya Orbit Mean Motion Resonance Critical Inclination Double Resonance Large Eccentricity
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1016/j.asr.2014.04.003
WOS KeywordCRITICAL INCLINATION ; SATELLITE ORBITS ; MOTION ; RESONANCE ; ECCENTRICITY ; STABILITY ; 24-HOUR
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Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics ; Geology ; Meteorology & Atmospheric Sciences
WOS SubjectAstronomy & Astrophysics ; Geosciences, Multidisciplinary ; Meteorology & Atmospheric Sciences
WOS IDWOS:000338825400006
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Cited Times:6[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/10595
Collection空间目标与碎片观测研究基地
Affiliation1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Jiangsu, Peoples R China
2.Chinese Acad Sci, Purple Mt Observ, Key Lab Space Object & Debris Observat, Nanjing 210008, Jiangsu, Peoples R China
3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China
Recommended Citation
GB/T 7714
Zhu, Ting-Lei,Zhao, Chang-Yin,Zhang, Ming-Jiang. Long term evolution of Molniya orbit under the effect of Earth's non-spherical gravitational perturbation[J]. ADVANCES IN SPACE RESEARCH,2014,54(2):197-208.
APA Zhu, Ting-Lei,Zhao, Chang-Yin,&Zhang, Ming-Jiang.(2014).Long term evolution of Molniya orbit under the effect of Earth's non-spherical gravitational perturbation.ADVANCES IN SPACE RESEARCH,54(2),197-208.
MLA Zhu, Ting-Lei,et al."Long term evolution of Molniya orbit under the effect of Earth's non-spherical gravitational perturbation".ADVANCES IN SPACE RESEARCH 54.2(2014):197-208.
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