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  Higher-order spin effects in the dynamics of compact binaries I. Equations of motion

Faye, G., Blanchet, L., & Buonanno, A. (2006). Higher-order spin effects in the dynamics of compact binaries I. Equations of motion. Physical Review D, 74: 104033. doi:10.1103/PhysRevD.74.104033.

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Faye, Guillaume, Author
Blanchet, Luc, Author
Buonanno, Alessandra1, 2, 3, 4, Author           
Affiliations:
1Department of Physics, University of Maryland, ou_persistent22              
2AstroParticule et Cosmologie (APC), UMR 7164-CNR, ou_persistent22              
3GReCO, Institut d’Astrophysique de Paris, ou_persistent22              
4Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_1933290              

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Free keywords: General Relativity and Quantum Cosmology, gr-qc
 Abstract: We derive the equations of motion of spinning compact binaries including the spin-orbit (SO) coupling terms one post-Newtonian (PN) order beyond the leading-order effect. For black holes maximally spinning this corresponds to 2.5PN order. Our result for the equations of motion essentially confirms the previous result by Tagoshi, Ohashi and Owen. We also compute the spin-orbit effects up to 2.5PN order in the conserved (Noetherian) integrals of motion, namely the energy, the total angular momentum, the linear momentum and the center-of-mass integral. We obtain the spin precession equations at 1PN order beyond the leading term, as well. Those results will be used in a future paper to derive the time evolution of the binary orbital phase, providing more accurate templates for LIGO-Virgo-LISA type interferometric detectors.

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 Dates: 2006-05-272007-01-182006
 Publication Status: Issued
 Pages: transcription error in Eqs. (2.17) corrected
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Title: Physical Review D
  Other : Phys. Rev. D.
Source Genre: Journal
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Publ. Info: Lancaster, Pa. : American Physical Society
Pages: - Volume / Issue: 74 Sequence Number: 104033 Start / End Page: - Identifier: ISSN: 0556-2821
CoNE: https://pure.mpg.de/cone/journals/resource/111088197762258