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

Mikóczi, Balázs and Forgács, Péter and Vasúth, Mátyás (2015) First order post-Newtonian gravitational waveforms of binaries on eccentric orbits with Hansen coefficients. PHYSICAL REVIEW D PARTICLES FIELDS GRAVITATION AND COSMOLOGY, 92 (044038). pp. 1-15. ISSN 1550-7998

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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.

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