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Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem
Tan, Pan1,2,3; Hou, Xi-Yun1,2,3; Liao, Xin-Hao2,4
2021-07-01
Source PublicationCELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
ISSN0923-2958
Volume133Issue:7Pages:29
AbstractIn this paper, motions around the triangular libration point L4 in the planar elliptic restricted three-body problem are considered. Polar coordinates of the test particle centered at the first primary are adopted. Explicit expansion of the potential function in terms of the polar coordinates is carried out in two ways, by a recursive relation or by a direct expansion. Using the Lindstedt-Poincare method, the explicit solution based on the polar coordinates is given for the first time. A comparison between the explicit solutions based on the Cartesian coordinates and on the polar coordinates truncated at the same order is made, and the result shows that the latter is at least one order of magnitude better in accuracy than the former. Based on the explicit solution, some analysis on the dynamics around the triangular libration points are made, including the secondary resonance structures on the mu-e plane, the practical stable region described by the amplitudes of our explicit solution, and the resonance structures revealed by LCE maps and numerical frequency analysis.
KeywordRestricted three-body problem Triangular libration point Explicit solution Resonance Stability
Funding OrganizationNationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina
DOI10.1007/s10569-021-10028-6
WOS KeywordHIGH-ORDER SOLUTIONS ; NEKHOROSHEV STABILITY ; INVARIANT-MANIFOLDS ; PERIODIC-ORBITS ; TROJAN ORBITS ; NORMAL-FORM ; MOTIONS ; SYSTEM
Language英语
Funding ProjectNationalNatural Science Foundation ofChina[11773017] ; NationalNatural Science Foundation ofChina[11973010]
Funding OrganizationNationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina ; NationalNatural Science Foundation ofChina
WOS Research AreaAstronomy & Astrophysics ; Mathematics
WOS SubjectAstronomy & Astrophysics ; Mathematics, Interdisciplinary Applications
WOS IDWOS:000663524100001
PublisherSPRINGER
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Document Type期刊论文
Identifierhttp://ir.bao.ac.cn/handle/114a11/77560
Collection中国科学院国家天文台
Corresponding AuthorHou, Xi-Yun
Affiliation1.Nanjing Univ, Sch Astron & Space Sci, Nanjing 210023, Peoples R China
2.Nanjing Univ, Inst Space Environm & Astrodynam, Nanjing 210023, Peoples R China
3.Minist Educ, Key Lab Modern Astron & Astrophys, Nanjing 210023, Peoples R China
4.Chinese Acad Sci, Shanghai Astron Observ, Shanghai 200030, Peoples R China
Recommended Citation
GB/T 7714
Tan, Pan,Hou, Xi-Yun,Liao, Xin-Hao. Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem[J]. CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY,2021,133(7):29.
APA Tan, Pan,Hou, Xi-Yun,&Liao, Xin-Hao.(2021).Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem.CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY,133(7),29.
MLA Tan, Pan,et al."Explicit solution and resonance dynamics around triangular libration points of the planar elliptic restricted three-body problem".CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY 133.7(2021):29.
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