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Abstract: A generalized true anomaly-type parametrization, convenient to describe bothbound 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 theangular equations of a binary system taking into account the first orderpost-newtonian 1PN is given. The gravitational radiation field emitted by thesystem is computed in the 1PN approximation including higher multipole momentsbeyond the standard quadrupole term. The gravitational waveforms in the timedomain are explicitly given up to the 1PN order for unbound orbits, but theresults are also illustrated on binaries on elliptic orbits with specialattention given to the effects of eccentricity.



Author: János Majár, Péter Forgács, Mátyás Vasúth

Source: https://arxiv.org/







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