2006/05/31 by Guillaume Faye, Luc Blanchet, Alessandra Buonanno · 1 citation
Earth and Planetary Sciences · Physics and Astronomy · #Angular momentum #Classical mechanics #Conserved quantity #Cosmology and Gravitation Theories #Equations of motion #Geophysics and Gravity Measurements #Gravitational wave #LIGO #Momentum (technical analysis) #Motion (physics) #Orbital motion #Order (exchange) #Physics #Precession #Pulsars and Gravitational Waves Research #Quantum mechanics #Spin (aerodynamics) #Total angular momentum quantum number #gr-qc
paper · pdf · doi:10.1103/physrevd.74.104033
published as Physical Review D 74 (29/11/2006) 104033 · transcription error in Eqs. (2.17) corrected
openalex publication_date 2006/11/29 · arxiv created 2007/01/18 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.