Full-analytic frequency-domain gravitational wave forms from eccentric compact binaries to 2PN accuracy

Tessmer, Manuel; Schäfer, Gerhard

doi:10.1002/andp.201100007

Cited by 29 publications

(38 citation statements)

References 40 publications

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“…[16] and [17]. Later, the authors of [18] have computed the explicit time-dependent multipoles S km up to 2PN. Their waveforms contain no secular terms because the authors are not using Eq.…”

Section: B2km Ijmentioning

confidence: 99%

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

2015

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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.

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Section: B2km Ijmentioning

confidence: 99%

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

2015

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“…In particular, the enhanced post-circular (EPC) model [32,36] is one of such models. It is interesting to ask if the source location accuracy will increase along with the eccentricity.…”

Section: Introductionmentioning

confidence: 99%

Gravitational wave source localization for eccentric binary coalesce with a ground-based detector network

Cao

Lin

et al. 2017

Phys. Rev. D

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Gravitational wave source localization problem is important in gravitational wave astronomy. Regarding ground-based detector, almost all of the previous investigations only considered the difference of arrival time among the detector network for source localization. Within the matched filtering framework, the information beside the arrival time difference can possibly also do some help on source localization. Especially when an eccentric binary is considered, the character involved in the gravitational waveform may improve the source localization. We investigate this effect systematically in the current paper. During the investigation, the enhanced post-circular (EPC) waveform model is used to describe the eccentric binary coalesce. We find that the source localization accuracy does increase along with the eccentricity increases. But such improvement depends on the total mass of the binary. For total mass 100M binary, the source localization accuracy may be improved about 2 times in general when the eccentricity increases from 0 to 0.4. For total mass 65M binary (GW150914-like binary), the improvement factor is about 1.3 when the eccentricity increases from 0 to 0.4. For total mass 22M binary (GW151226-like binary), such improvement is ignorable.

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“…The frequency domain in the conservative case, from here onwards, is trivial to obtain. It is to be emphasized that everything is given in the positive domain of the spectrum [7]: …”

Section: Results For the Conservative Casementioning

confidence: 99%

Full-analytic frequency domain gravitational wave forms from eccentric compact binaries to second post-Newtonian accuracy

Tessmer

Schäfer

2014

J. Phys.: Conf. Ser.

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Abstract. Full-analytic gravitational wave forms for inspiralling eccentric compact binaries of arbitary mass ratio have been provided in the frequency domain for the case of vanishing spins. Tail terms are not considered. In the given prescription, the semi-analytical property of recent descriptions, which demand inverting the higher order Kepler equation numerically, but keeping all other computations analytic is avoided.

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Full-analytic frequency-domain gravitational wave forms from eccentric compact binaries to 2PN accuracy

Cited by 29 publications

References 40 publications

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

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

Gravitational wave source localization for eccentric binary coalesce with a ground-based detector network

Full-analytic frequency domain gravitational wave forms from eccentric compact binaries to second post-Newtonian accuracy

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