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arxiv: 1205.4530 · v1 · submitted 2012-05-21 · 🌀 gr-qc

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On the comparison of results regarding the post-Newtonian approximate treatment of the dynamics of extended spinning compact binaries

Steven Hergt , Jan Steinhoff , Gerhard Schaefer
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classification 🌀 gr-qc
keywords dynamicshamiltonianspost-newtonianpotentialsapproximatebinariesbodybrief
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A brief review is given of all the Hamiltonians and effective potentials calculated hitherto covering the post-Newtonian (pN) dynamics of a two body system. A method is presented to compare (conservative) reduced Hamiltonians with nonreduced potentials directly at least up to the next-to-leading-pN order.

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Cited by 1 Pith paper

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  1. Generalized Carter & R\"udiger Constants of $\sqrt{\text{Kerr}}$

    gr-qc 2026-02 unverdicted novelty 7.0

    Generalized Carter and Rüdiger constants for spinning charged probes in √Kerr backgrounds exist only for Wilson coefficients matching spin-exponentiated effective Compton amplitudes up to second order in spin.