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Eccentric first post-Newtonian waveforms for compact binaries in frequency domain with Hansen coefficients
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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 derive analytic ready-to-use first post-Newtonian eccentric waveform in Fourier domain with the use of Hansen coefficients. Introducing generic perturbations of celestial mechanics we have generalized the Hansen expansion to the first post-Newtonian order which are then used to express the waveforms. Taking into account the high eccentricity of the orbit leads to the appearance of secular terms in the waveform which are eliminated with the introduction of a phase shift. The waveforms have a systematic structure and as our main result these are expressed in a tabular form.
Forward citations
Cited by 2 Pith papers
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High-Post-Newtonian-Order Dynamics Induced by Tail-of-Tail Interactions: The Non-Geodesic Terms
The authors compute tail-of-tail contributions to the effective-one-body Q potential through p_r^12 and derive new second-order self-force redshift predictions for eccentric binaries.
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A parametrized test of general relativity for inspiralling eccentric binaries in LISA
For eccentric black-hole binaries observed by LISA, a parametrized deformation of the periastron-precession rate could be constrained to |δα|≲10^-4 at 90% credibility with the full-model template.
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