Third post-Newtonian angular momentum flux and the secular evolution of orbital elements for inspiralling compact binaries in quasi-elliptical orbits

Journal Article · Tue Dec 15 04:00:00 EST 2009 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PHYSREVD.80.124018· OSTI ID:21313610

Arun, K G ^[1]; Blanchet, Luc ^[2]; Iyer, Bala R ^[1]; Sinha, Siddhartha ^[1]

---

1. Raman Research Institute, Bangalore 560 080 (India)
2. GRECO, Institut d'Astrophysique de Paris-UMR 7095 du CNRS, Universite Pierre and Marie Curie, 98 bis boulevard Arago, 75014 Paris (France)

The angular-momentum flux from an inspiralling binary system of compact objects moving in quasi-elliptical orbits is computed at the third post-Newtonian (3PN) order using the multipolar post-Minkowskian wave generation formalism. The 3PN angular-momentum flux involves the instantaneous, tail, and tail-of-tails contributions as for the 3PN energy flux, and in addition a contribution due to nonlinear memory. We average the angular-momentum flux over the binary's orbit using the 3PN quasi-Keplerian representation of elliptical orbits. The averaged angular-momentum flux provides the final input needed for gravitational-wave phasing of binaries moving in quasi-elliptical orbits. We obtain the evolution of orbital elements under 3PN gravitational radiation reaction in the quasi-elliptic case. For small eccentricities, we give simpler limiting expressions relevant for phasing up to order e{sup 2}. This work is important for the construction of templates for quasi-eccentric binaries, and for the comparison of post-Newtonian results with the numerical relativity simulations of the plunge and merger of eccentric binaries.

• OSTI ID: 21313610
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 12 Vol. 80; ISSN PRVDAQ; ISSN 0556-2821
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
COMPARATIVE EVALUATIONS
EVOLUTION
GRAVITATIONAL RADIATION
GRAVITATIONAL WAVES
MINKOWSKI SPACE
NONLINEAR PROBLEMS
ORBITS
SIMULATION