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

By G. Faye, L. Blanchet, A. Buonanno. 2006

191 citations recorded by the source corpus.

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.

Subfields: Astronomy and Astrophysics, Oceanography

View Paper: https://www.semanticscholar.org/paper/6201471034deb6a47acc413ae5c63b33f96925be

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Astronomy and Astrophysics

1. T. Damour
2. Rafael A. Porto
3. M. Smolkin
4. G. Schāfer
5. P. Jaranowski
6. B. Kol
7. L. Blanchet
8. J. Steinhoff

In Oceanography

1. M. Smolkin
2. B. Kol
3. G. Schāfer
4. P. Jaranowski
5. T. Damour

Citations in the corpus

• Effective one body approach to the dynamics of two spinning black holes with next-to-leading order spin-orbit coupling (2008, methodology): “[14, 15]) into a previously developed extension of the EOB approach to spinning bodies [1].”
• Non-relativistic gravitation: from Newton to Einstein and back (2007, methodology): “The next to leading terms at order 2.5PN were computed in [ 26 ] in terms of equations of motion and in [27] in terms of a Hamiltonian.”