Long term evolution of Molniya orbit under the effect of Earth's non-spherical gravitational perturbation

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	Long term evolution of Molniya orbit under the effect of Earth's non-spherical gravitational perturbation
	Zhu, Ting-Lei 1,2,3; Zhao, Chang-Yin 1,2; Zhang, Ming-Jiang 1,2,3
刊名	ADVANCES IN SPACE RESEARCH
	2014-07-15
卷号	54 期号:2 页码:197-208
关键词	Molniya orbit Mean motion resonance Critical inclination Double resonance Large eccentricity
ISSN号	0273-1177
英文摘要	A 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.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Astronomy & Astrophysics ; Geosciences, Multidisciplinary ; Meteorology & Atmospheric Sciences
研究领域[WOS]	Astronomy & Astrophysics ; Geology ; Meteorology & Atmospheric Sciences
关键词[WOS]	CRITICAL INCLINATION ; SATELLITE ORBITS ; MOTION ; RESONANCE ; ECCENTRICITY ; STABILITY ; 24-HOUR
收录类别	SCI
原文出处	10.1016/j.asr.2014.04.003
语种	英语
WOS记录号	WOS:000338825400006
公开日期	2014-11-20
内容类型	期刊论文
源URL	[http://libir.pmo.ac.cn/handle/332002/10595]
专题	紫金山天文台_空间目标与碎片观测研究基地
作者单位	1.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
推荐引用方式 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.