caa a22 4500 445387130 CHVBK 20180317143035.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1007/s10714-011-1171-0 doi (NATIONALLICENCE)springer-10.1007/s10714-011-1171-0 Regular dynamics of canonical post-Newtonian Hamiltonian for spinning compact binaries with next-to-leading order spin-orbit interactions [Elektronische Daten] [Xin Wu, Shuang-Ying Zhong] This paper shows that a conservative canonical post-Newtonian Hamiltonian formulation of spinning compact binaries with a pure orbital part up to third post-Newtonian order and spin-orbit contributions at the next-to-leading post-Newtonian order is explicitly integrable and regular because there are 5 independent exact isolating integrals in the 10-dimensional phase space. With the help of symplectic integrators and the fast Lyapunov indicators of two nearby trajectories, numerical investigations also support the absence of chaos. Springer Science+Business Media, LLC, 2011 Spinning compact binaries nationallicence Canonical post-Newtonian Hamiltonian nationallicence Integrability nationallicence Fast Lyapunov indicator nationallicence Symplectic integrator nationallicence Wu Xin Institute of Astronomy and Department of Physics, Nanchang University, 330031, Nanchang, China aut Zhong Shuang-Ying Institute of Astronomy and Department of Physics, Nanchang University, 330031, Nanchang, China aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/8(2011-08-01), 2185-2198 0001-7701 43:8<2185 2011 43 10714 https://doi.org/10.1007/s10714-011-1171-0 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-011-1171-0 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Wu Xin Institute of Astronomy and Department of Physics, Nanchang University, 330031, Nanchang, China aut NATIONALLICENCE 700 1- Zhong Shuang-Ying Institute of Astronomy and Department of Physics, Nanchang University, 330031, Nanchang, China aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/8(2011-08-01), 2185-2198 0001-7701 43:8<2185 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer