Second post-Newtonian gravitational wave polarizations for compact binaries in elliptical orbits

2001/10/31 by A. Gopakumar, B. R. Iyer, Bala R. Iyer · 3 citations
Earth and Planetary Sciences · Physics and Astronomy · #Gamma-ray bursts and supernovae #Geophysics and Gravity Measurements #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.1103/physrevd.65.084011

published as Phys.Rev. D65 (2002) 084011 · 40 pages, 10 figures, To appear in Phys. Rev. D

arxiv created 2002/03/11 · openalex publication_date 2002/03/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The second post-Newtonian (2PN) contribution to the ``plus'' and ``cross'' gravitational wave polarizations associated with gravitational radiation from non-spinning, compact binaries moving in elliptic orbits is computed. The computation starts from our earlier results on 2PN generation, crucially employs the 2PN accurate generalized quasi-Keplerian parametrization of elliptic orbits by Damour, Sch"afer and Wex and provides 2PN accurate expressions modulo the tail terms for gravitational wave polarizations incorporating effects of eccentricity and periastron precession.

Citations

• Gravitational Waves from Coalescing Black Hole MACHO Binaries
• Gravitational wave background from coalescing compact stars in eccentric orbits
• Dynamical invariants for general relativistic two-body systems at the third post-Newtonian approximation
• Binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part

Cited by

• Gravitational waveforms for spinning compact binaries
• Inspiralling compact binaries in quasi-elliptical orbits: The complete third post-Newtonian energy flux
• Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries