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Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
Faye G., Blanchet L., Buonanno A.
Physical Review D 74 (2006) 104033 - http://hal.archives-ouvertes.fr/hal-00076742
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Physique/Relativité Générale et Cosmologie Quantique
Higher-order spin effects in the dynamics of compact binaries I. Equations of motion
Guillaume Faye1, Luc Blanchet1, A. Buonanno1, 2, 3
1 :  IAP - Institut d'Astrophysique de Paris
http://www.iap.fr/
CNRS : UMR7095 – INSU – Université Pierre et Marie Curie (UPMC) - Paris VI
98bis, bd Arago - 75014 Paris France
France
2 :  Maryland Center for Fundamental Physics & Joint Space-Science Center, Department of Physics
University of Maryland
College Park, MD 20742
États-Unis
3 :  APC - UMR 7164 - AstroParticule et Cosmologie
http://www.apc.univ-paris7.fr/
CNRS : UMR7164 – IN2P3 – Observatoire de Paris – Université Paris VII - Paris Diderot – CEA : DSM/IRFU
APC - UMR 7164, Université Paris Diderot, 10 rue Alice Domon et Léonie Duquet, case postale 7020, F-75205 Paris Cedex 13
France
APC - THEORIE
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.
Anglais

Physical Review D (Phys. Rev. D)
Publisher American Physical Society
ISSN 1550-7998 (eISSN : 1550-2368)
internationale
Articles dans des revues avec comité de lecture
29/11/2006
74
104033

post-Newtonian approximation – equations of motion – equations of precession – spin – compact binaries – gravitational-wave sources
04.30.-w, 04.25.-g
transcription error in Eqs. (2.17) corrected

Liste des fichiers attachés à ce document : 
TEX
FBB06spin_final.tex(110.2 KB)
FBB06spin_final.bbl(23.3 KB)
PS
FBB06spin_final.ps(340.9 KB)
PDF
FBB06spin_final.pdf(383.2 KB)