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

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

2010-05-12

arxiv.org/abs/1005.2046v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, 1 figure; Accepted for publication in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.81.124001

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 $10^{-4}$-$10^{-3}$ for supermassive black hole binaries in the LISA band. Spin-orbit precession also induces a non-trivial 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.

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