KMS National Astronomical Observatories, CAS
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 Publication | CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY |
ISSN | 0923-2958 |
Volume | 133Issue:7Pages:29 |
Abstract | In 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. |
Keyword | Restricted three-body problem Triangular libration point Explicit solution Resonance Stability |
Funding Organization | 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 ; NationalNatural Science Foundation ofChina |
DOI | 10.1007/s10569-021-10028-6 |
WOS Keyword | HIGH-ORDER SOLUTIONS ; NEKHOROSHEV STABILITY ; INVARIANT-MANIFOLDS ; PERIODIC-ORBITS ; TROJAN ORBITS ; NORMAL-FORM ; MOTIONS ; SYSTEM |
Language | 英语 |
Funding Project | NationalNatural Science Foundation ofChina[11773017] ; NationalNatural Science Foundation ofChina[11973010] |
Funding Organization | 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 ; NationalNatural Science Foundation ofChina |
WOS Research Area | Astronomy & Astrophysics ; Mathematics |
WOS Subject | Astronomy & Astrophysics ; Mathematics, Interdisciplinary Applications |
WOS ID | WOS:000663524100001 |
Publisher | SPRINGER |
Citation statistics | |
Document Type | 期刊论文 |
Identifier | http://ir.bao.ac.cn/handle/114a11/77560 |
Collection | 中国科学院国家天文台 |
Corresponding Author | Hou, Xi-Yun |
Affiliation | 1.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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