Spin effects in the phasing of gravitational waves from binaries on eccentric orbits

Antoine Klein and Philippe Jetzer
Phys. Rev. D 81, 124001 – Published 1 June 2010

Abstract

We compute here the spin-orbit and spin-spin couplings needed for an accurate computation of the phasing of gravitational waves emitted by comparable-mass binaries on eccentric orbits at the second post-Newtonian (PN) order. We use a quasi-Keplerian parametrization of the orbit free of divergencies in the zero-eccentricity limit. We find that spin-spin couplings induce a residual eccentricity for coalescing binaries at 2PN, of the order of 104103 for supermassive black hole binaries in the LISA band. Spin-orbit precession also induces a nontrivial pattern in the evolution of the eccentricity, which could help to reduce the errors on the determination of the eccentricity and spins in a gravitational wave measurement.

  • Figure
  • Received 9 March 2010

DOI:https://doi.org/10.1103/PhysRevD.81.124001

©2010 American Physical Society

Authors & Affiliations

Antoine Klein* and Philippe Jetzer

  • Institut für Theoretische Physik, Universität Zürich, Winterthurerstrasse 190, 8057 Zürich

  • *aklein@physik.uzh.ch

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Issue

Vol. 81, Iss. 12 — 15 June 2010

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