Author： Wu Xin Zhong Shuang-Ying
Publisher： Springer Publishing Company
ISSN： 0001-7701
Source： General Relativity and Gravitation, Vol.43, Iss.8, 2011-08, pp. : 2185-2198
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Abstract
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.
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