Gravitational waves from binaries on unbound orbits

Details Gravitational waves from binaries on unbound orbits Gravitational waves from binaries on unbound orbits

2010-09-25

arxiv.org/abs/1009.5042v1

Phys.Rev.D82:064041,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

27 pages, 10 figures, to appear in Phys. Rev. D

Scientific paper

10.1103/PhysRevD.82.064041

A generalized true anomaly-type parametrization, convenient to describe both bound and open orbits of a two-body system in general relativity is introduced. A complete description of the time evolution of both the radial and of the angular equations of a binary system taking into account the first order post-newtonian (1PN) is given. The gravitational radiation field emitted by the system is computed in the 1PN approximation including higher multipole moments beyond the standard quadrupole term. The gravitational waveforms in the time domain are explicitly given up to the 1PN order for unbound orbits, but the results are also illustrated on binaries on elliptic orbits with special attention given to the effects of eccentricity.

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