First order post-Newtonian gravitational waveforms of binaries on eccentric orbits with Hansen coefficients

Balázs Mikóczi, P. Forgács, M. Vasúth

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

The inspiral and merger of supermassive black hole binary systems with high orbital eccentricity are among the promising sources of the advanced gravitational wave observatories. In this paper we compute gravitational waveforms in the frequency domain to the first post-Newtonian order, emitted by compact binary systems with arbitrary eccentricity. Our results are fully analytic, ready-to-use expressions of the waveforms in terms of a suitable generalization of Hansen coefficients known from celestial mechanics. Secular terms induced by the eccentricity are eliminated by introducing a suitable phase shift. The obtained waveforms have a rather simple structure, greatly facilitating their use in applications.

Original languageEnglish
Article number044038
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume92
Issue number4
DOIs
Publication statusPublished - Aug 20 2015

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eccentric orbits
eccentricity
waveforms
coefficients
celestial mechanics
gravitational waves
observatories
phase shift
orbitals

ASJC Scopus subject areas

  • Nuclear and High Energy Physics

Cite this

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AB - The inspiral and merger of supermassive black hole binary systems with high orbital eccentricity are among the promising sources of the advanced gravitational wave observatories. In this paper we compute gravitational waveforms in the frequency domain to the first post-Newtonian order, emitted by compact binary systems with arbitrary eccentricity. Our results are fully analytic, ready-to-use expressions of the waveforms in terms of a suitable generalization of Hansen coefficients known from celestial mechanics. Secular terms induced by the eccentricity are eliminated by introducing a suitable phase shift. The obtained waveforms have a rather simple structure, greatly facilitating their use in applications.

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