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Dynamics of spin effects of compact binaries
Mei, Lijie1,2; Ju, Mingjie1; Wu, Xin1,3; Liu, Sanqiu1
2013-11-01
Source PublicationMONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY
Volume435Issue:3Pages:2246-2255
AbstractFor a 10-dimensional post-Newtonian canonical conservative Hamiltonian system of spinning compact binaries, where the orbital part is accurate to the third-order post-Newtonian expansion and the spin-orbit contributions are up to the next-to-next-to-leading order, its dynamics is integrable and not at all chaotic due to the presence of five independent isolating integrals, including the total energy, three components of the total angular momentum vector and the length of the orbital angular momentum. As the spin-spin effects of the two spinning bodies are further included, only the length of the orbital angular momentum is no longer conserved, so that the dynamics becomes typically non-integrable. Numerical simulations support the onset of chaos. Above all, many chaotic orbits whose initial radii are larger than 10M and whose Lyapunov times are less than the corresponding inspiral decay times are found. In addition, a threshold value of the maximum ratio of the spin-spin Hamiltonian to the whole Hamiltonian for distinguishing between the ordered and chaotic cases is also given.
KeywordChaos Celestial Mechanics Binaries: General Stars: Black Holes
WOS HeadingsScience & Technology ; Physical Sciences
DOI10.1093/mnras/stt1441
WOS KeywordLYAPUNOV EXPONENTS ; GRAVITATIONAL-RADIATION ; BLACK-HOLES ; FREE MOTION ; CHAOS ; ORDER ; INTEGRABILITY ; CONSTRUCTION ; EQUATIONS ; SPACETIME
Indexed BySCI
Language英语
WOS Research AreaAstronomy & Astrophysics
WOS SubjectAstronomy & Astrophysics
WOS IDWOS:000325773000032
Citation statistics
Cited Times:26[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://libir.pmo.ac.cn/handle/332002/10047
Collection空间目标与碎片观测研究基地
Affiliation1.Nanchang Univ, Sch Sci, Nanchang 330031, Peoples R China
2.Nanjing Univ, Dept Math, Nanjing 210093, Jiangsu, Peoples R China
3.Chinese Acad Sci, Purple Mt Observ, Nanjing 210008, Jiangsu, Peoples R China
Recommended Citation
GB/T 7714
Mei, Lijie,Ju, Mingjie,Wu, Xin,et al. Dynamics of spin effects of compact binaries[J]. MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,2013,435(3):2246-2255.
APA Mei, Lijie,Ju, Mingjie,Wu, Xin,&Liu, Sanqiu.(2013).Dynamics of spin effects of compact binaries.MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY,435(3),2246-2255.
MLA Mei, Lijie,et al."Dynamics of spin effects of compact binaries".MONTHLY NOTICES OF THE ROYAL ASTRONOMICAL SOCIETY 435.3(2013):2246-2255.
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