skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

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

Abstract

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.

Authors:
 [1];  [2];  [1];  [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)
Publication Date:
OSTI Identifier:
21313610
Resource Type:
Journal Article
Journal Name:
Physical Review. D, Particles Fields
Additional Journal Information:
Journal Volume: 80; Journal Issue: 12; Other Information: DOI: 10.1103/PhysRevD.80.124018; (c) 2009 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA); Journal ID: ISSN 0556-2821
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; ANGULAR MOMENTUM; COMPARATIVE EVALUATIONS; EVOLUTION; GRAVITATIONAL RADIATION; GRAVITATIONAL WAVES; MINKOWSKI SPACE; NONLINEAR PROBLEMS; ORBITS; SIMULATION

Citation Formats

Arun, K G, GRECO, Institut d'Astrophysique de Paris-UMR 7095 du CNRS, Universite Pierre and Marie Curie, 98 bis boulevard Arago, 75014 Paris, LAL, Universite Paris-Sud, IN2P3/CNRS, Orsay, McDonnell Centre for the Space Sciences, Department of Physics, Washington University, St Louis, Missouri 63130, Blanchet, Luc, Iyer, Bala R, Sinha, Siddhartha, and Dept of Physics, Indian Institute of Science, Bangalore. Third post-Newtonian angular momentum flux and the secular evolution of orbital elements for inspiralling compact binaries in quasi-elliptical orbits. United States: N. p., 2009. Web. doi:10.1103/PHYSREVD.80.124018.
Arun, K G, GRECO, Institut d'Astrophysique de Paris-UMR 7095 du CNRS, Universite Pierre and Marie Curie, 98 bis boulevard Arago, 75014 Paris, LAL, Universite Paris-Sud, IN2P3/CNRS, Orsay, McDonnell Centre for the Space Sciences, Department of Physics, Washington University, St Louis, Missouri 63130, Blanchet, Luc, Iyer, Bala R, Sinha, Siddhartha, & Dept of Physics, Indian Institute of Science, Bangalore. Third post-Newtonian angular momentum flux and the secular evolution of orbital elements for inspiralling compact binaries in quasi-elliptical orbits. United States. https://doi.org/10.1103/PHYSREVD.80.124018
Arun, K G, GRECO, Institut d'Astrophysique de Paris-UMR 7095 du CNRS, Universite Pierre and Marie Curie, 98 bis boulevard Arago, 75014 Paris, LAL, Universite Paris-Sud, IN2P3/CNRS, Orsay, McDonnell Centre for the Space Sciences, Department of Physics, Washington University, St Louis, Missouri 63130, Blanchet, Luc, Iyer, Bala R, Sinha, Siddhartha, and Dept of Physics, Indian Institute of Science, Bangalore. 2009. "Third post-Newtonian angular momentum flux and the secular evolution of orbital elements for inspiralling compact binaries in quasi-elliptical orbits". United States. https://doi.org/10.1103/PHYSREVD.80.124018.
@article{osti_21313610,
title = {Third post-Newtonian angular momentum flux and the secular evolution of orbital elements for inspiralling compact binaries in quasi-elliptical orbits},
author = {Arun, K G and GRECO, Institut d'Astrophysique de Paris-UMR 7095 du CNRS, Universite Pierre and Marie Curie, 98 bis boulevard Arago, 75014 Paris and LAL, Universite Paris-Sud, IN2P3/CNRS, Orsay and McDonnell Centre for the Space Sciences, Department of Physics, Washington University, St Louis, Missouri 63130 and Blanchet, Luc and Iyer, Bala R and Sinha, Siddhartha and Dept of Physics, Indian Institute of Science, Bangalore},
abstractNote = {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.},
doi = {10.1103/PHYSREVD.80.124018},
url = {https://www.osti.gov/biblio/21313610}, journal = {Physical Review. D, Particles Fields},
issn = {0556-2821},
number = 12,
volume = 80,
place = {United States},
year = {Tue Dec 15 00:00:00 EST 2009},
month = {Tue Dec 15 00:00:00 EST 2009}
}