Computer Science
Scientific paper
Aug 2011
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011gregr..43.2185w&link_type=abstract
General Relativity and Gravitation, Volume 43, Issue 8, pp.2185-2198
Computer Science
Spinning Compact Binaries, Canonical Post-Newtonian Hamiltonian, Integrability, Fast Lyapunov Indicator, Symplectic Integrator
Scientific paper
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.
Wu Xin
Zhong Shuang-Ying
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