Dynamics of High-Order Spin-Orbit Couplings about Linear Momenta in Compact Binary Systems  

作　　者：Li Huang Xin Wu Li-Jie Mei Guo-Qing Huang 黄立;伍歆;梅丽杰;黄国庆(Department of Physics & Institute of Astronomy Nanchang University;School of Mathematics & Physics Shangrao Normal University)

机构地区：[1]Department of Physics ＆ Institute of Astronomy, Nanchang University, Nanchang 330031, China [2]School of Mathematics＆ Physics, Shangrao Normal University, Shangrao 334001, China

出　　处：《Communications in Theoretical Physics》2017年第9期375-381,共7页理论物理通讯（英文版）

基　　金：Supported by the National Natural Science Foundation of China under Grant Nos.11533004,11663005;the Natural Science Foundation of Jiangxi Province under Grant Nos.20153BCB22001 and 20171BAB211005

摘　　要：This paper relates to the post-Newtonian Hamiltonian dynamics of spinning compact binaries, consisting of the Newtonian Kepler problem and the leading, next-to-leading and next-to-next-to-leading order spin-orbit couplings as linear functions of spins and momenta. When this Hamiltonian form is transformed to a Lagrangian form, besides the terms corresponding to the same order terms in the Hamiltonian, several additional terms, third post-Newtonian(3 PN),4 PN, 5 PN, 6 PN and 7 PN order spin-spin coupling terms, yield in the Lagrangian. That means that the Hamiltonian is nonequivalent to the Lagrangian at the same PN order but is exactly equivalent to the full Lagrangian without any truncations. The full Lagrangian without the spin-spin couplings truncated is integrable and regular. Whereas it is non-integrable and becomes possibly chaotic when any one of the spin-spin terms is dropped. These results are also supported numerically.

关 键 词：black hole binaries post-Newtonian approximation spin-orbit couplings CHAOS 

分 类 号：O41[理学—理论物理]