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Second post-Newtonian Lagrangian dynamics of spinning compact binaries

Li Huang, Xin Wu, DaZhu Ma
2016 European Physical Journal C: Particles and Fields  

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Other Versions

2016 accepted
arXiv:1604.05810v2 fatcat:dwziiw6m6ncm5etujhtez6z4ku
2016 pre-print
arXiv:1604.05810v1 fatcat:agry4sfahnbepo62p32ydwh5za
The leading-order spin-orbit coupling is included in a post-Newtonian Lagrangian formulation of spinning compact binaries, which consists of the Newtonian term, first post-Newtonian (1PN) and 2PN non-spin terms and 2PN spin-spin coupling. This makes a 3PN spin-spin coupling occur in the derived Hamiltonian. The spin-spin couplings are mainly responsible for chaos in the Hamiltonians. However, the 3PN spin-spin Hamiltonian is small and has different signs, compared with the 2PN spin-spin
more » ... ian equivalent to the 2PN spin-spin Lagrangian. As a result, the probability of the occurrence of chaos in the Lagrangian formulation without the spin-orbit coupling is larger than that in the Lagrangian formulation with the spin-orbit coupling. Numerical evidences support the claim.
doi:10.1140/epjc/s10052-016-4339-7 fatcat:ju2u4neffvhhteduiushbynajy
DOAJ Multiple Versions
Citation

Li Huang, Xin Wu, DaZhu Ma. "Second post-Newtonian Lagrangian dynamics of spinning compact binaries." European Physical Journal C: Particles and Fields 76.9 (2016)