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On the triangular libration points in photogravitational restricted three-body problem with variable mass
Zhang, Ming-Jiang1,2; Zhao, Chang-Yin1,2; Xiong, Yong-Qing1,2
2012
Source PublicationASTROPHYSICS AND SPACE SCIENCE
ISSN0004-640X
Volume337Issue:1Pages:107-113
AbstractThis paper investigates the triangular libration points in the photogravitational restricted three-body problem of variable mass, in which both the attracting bodies are radiating as well and the infinitesimal body vary its mass with time according to Jeans' law. Firstly, applying the space-time transformation of Meshcherskii in the special case when q=1/2, k=0, n=1, the differential equations of motion of the problem are given. Secondly, in analogy to corresponding problem with constant mass, the positions of analogous triangular libration points are obtained, and the fact that these triangular libration points cease to be classical ones when alpha not equal 0, but turn to classical L (4) and L (5) naturally when alpha=0 is pointed out. Lastly, introducing the space-time inverse transformation of Meshcherskii, the linear stability of triangular libration points is tested when alpha > 0. It is seen that the motion around the triangular libration points become unstable in general when the problem with constant mass evolves into the problem with decreasing mass.
KeywordCelestial Mechanics Variable Mass Restricted Three-body Problem
Subject AreaAstronomy & Astrophysics
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1007/s10509-011-0821-8
WOS Keyword3 BODIES ; EQUILIBRIUM POINTS ; PERTURBATIONS ; STABILITY ; OBLATENESS ; RADIATION
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000299055400016
Citation statistics
Cited Times:28[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/7990
Collection空间目标与碎片观测研究基地
Affiliation1.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Peoples R China
2.CAS, PMO, Key Lab Space Object & Debris Observat, Nanjing 210008, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Ming-Jiang,Zhao, Chang-Yin,Xiong, Yong-Qing. On the triangular libration points in photogravitational restricted three-body problem with variable mass[J]. ASTROPHYSICS AND SPACE SCIENCE,2012,337(1):107-113.
APA Zhang, Ming-Jiang,Zhao, Chang-Yin,&Xiong, Yong-Qing.(2012).On the triangular libration points in photogravitational restricted three-body problem with variable mass.ASTROPHYSICS AND SPACE SCIENCE,337(1),107-113.
MLA Zhang, Ming-Jiang,et al."On the triangular libration points in photogravitational restricted three-body problem with variable mass".ASTROPHYSICS AND SPACE SCIENCE 337.1(2012):107-113.
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