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The 3.5 post-Newtonian (PN) order is tackled by extending the canonical formalism of Arnowitt, Deser, and Misner to spinning objects.
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T. Damour, P. Jaranowski, and G. Schäfer, “Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem,” Phys. Rev. D
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E. Berti, A. Buonanno, and C. M. Will, “Estimating spinning binary parameters and testing alternative theories of gravity with LISA,” Phys. Rev. D
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2008
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T. Damour, P. Jaranowski, and G. Schäfer, “Dimensional regularization of the gravitational interaction of point masses in the ADM formalism,” in Proceedings of the 11th Marcel Grossmann Meeting on General Relativity · 2008
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2009
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H. Wang, J. Steinhoff, and G. Schäfer, “Radiation reaction Hamiltonians for gravitating spinning objects at 3.5PN.” In preparation, 2010
2010
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