Spin effects in the phasing of gravitational waves from binaries on eccentric orbits
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 - 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.
Keywords
Cite
@article{arxiv.1005.2046,
title = {Spin effects in the phasing of gravitational waves from binaries on eccentric orbits},
author = {Antoine Klein and Philippe Jetzer},
journal= {arXiv preprint arXiv:1005.2046},
year = {2015}
}
Comments
7 pages, 1 figure; Accepted for publication in Phys. Rev. D