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

Ma, Sizheng; Cao, Zhoujian; Lin, Chun Yu; Pan, H.; Yo, Hwei Jang

doi:10.1103/physrevd.96.084046

Cited by 23 publications

(21 citation statements)

References 43 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Note that the situation is different from that of the space-based detectors of which the position changes a lot within a period of the gravitational wave strain, and thereby the strain itself contains information about source location. In our previous work [53], we have found a more precise localization for an eccentric binary under a three-detector network with eccentric gravitational waveforms. In this work, we will, therefore, extend the study systematically to the four-and five-detector network with an eccentric waveform template.…”

Section: Introductionmentioning

confidence: 82%

“…[49]. We have extended the study of this model for three detectors [53]. In this work, we would like to further extend the study to a global network, including KAGRA [4] in Japan and LIGO-India [5], which will be built in India.…”

Section: B Waveform Model In the Detector Networkmentioning

confidence: 99%

“…To make our discussion self-contained, we have written out the EPC waveform model for the detector networks by setting up an Earth coordinate system [53] β e : Azimuthal angle in the orbital plane around the line joining the source to the center of the Earth. Here, we assume that θ i and φ i are the location of the ith detector in the network, and the x arm rotates from the north direction to the west direction with ψ i .…”

Section: B Waveform Model In the Detector Networkmentioning

confidence: 99%

See 2 more Smart Citations

Accuracy of source localization for eccentric inspiraling binary mergers using a ground-based detector network

Pan¹,

Lin²,

Cao³

et al. 2019

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

The problem of gravitational wave parameter estimation and source localization is crucial in gravitational wave astronomy. Gravitational waves emitted by compact binary coalescences in the sensitivity band of second-generation ground-based detectors could have non-negligible eccentricities. Thus it is an interesting topic to study how the eccentricity of a binary source affects and improves the accuracy of its localization (and the signal-to-noise ratio). In this work we continue to investigate this effect with the enhanced postcircular waveform model. Using the Fisher information matrix method, we determine the accuracy of source localization with three ground-based detector networks. As expected, the accuracy of source localization is improved considerably with more detectors in a network. We find that the accuracy also increases significantly by increasing the eccentricity for the large total mass (M ≥ 40M ) binaries with all three networks. For the small total mass (M < 40M ) binaries, this effect is negligible. For the smaller total mass (M < 5M ) binaries, the accuracy could be even worse at some orientations with increasing eccentricity. This phenomenon comes mainly from how well the frequency of the higher harmonic modes induced by increasing eccentricity coincides with the sensitive bandwidth of the detectors. For the case of the 100M black hole binary, the improvement factor is about 2 in general when the eccentricity grows from 0.0 to 0.4. For the cases of the 22M black hole binary and the 2.74M neutron star binary, the improvement factor is less than 1.1, and it may be less than 1 at some orientations.

show abstract

Section: Introductionmentioning

confidence: 82%

Section: B Waveform Model In the Detector Networkmentioning

confidence: 99%

Section: B Waveform Model In the Detector Networkmentioning

confidence: 99%

See 1 more Smart Citation

Accuracy of source localization for eccentric inspiraling binary mergers using a ground-based detector network

Pan¹,

Lin²,

Cao³

et al. 2019

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

“…Finally, we compare our results with previous studies for the e 0 dependence of measurement errors of parameters describing eccentric binaries. Sun et al 2015;Ma et al 2017 set the initial orbital parameters to be e 20Hz (e 10Hz ) and ρ 20Hz (ρ 10Hz ). For various values of e 20Hz (e 10Hz ) in the range [0.1, 0.2, 0.3, 0.4] and the corresponding values of ρ 20Hz (ρ 10Hz ), they determined the measurement accuracies for various parameters of eccentric binaries.…”

Section: Comparison With Previous Resultsmentioning

confidence: 99%

Accuracy of Estimating Highly Eccentric Binary Black Hole Parameters with Gravitational-wave Detections

Gondán

Kocsis

Raffai

et al. 2018

ApJ

View full text Add to dashboard Cite

Mergers of stellar-mass black holes on highly eccentric orbits are among the targets for ground-based gravitational-wave detectors, including LIGO, VIRGO, and KAGRA. These sources may commonly form through gravitational-wave emission in high velocity dispersion systems or through the secular Kozai-Lidov mechanism in triple systems. Gravitational waves carry information about the binaries' orbital parameters and source location. Using the Fisher matrix technique, we determine the measurement accuracy with which the LIGO-VIRGO-KAGRA network could measure the source parameters of eccentric binaries using a matched filtering search of the repeated burst and eccentric inspiral phases of the waveform. We account for general relativistic precession and the evolution of the orbital eccentricity and frequency during the inspiral. We find that the signal-to-noise ratio and the parameter measurement accuracy may be significantly higher for eccentric sources than for circular sources. This increase is sensitive to the initial pericenter distance, the initial eccentricity, and component masses. For instance, compared to a 30 M − 30 M non-spinning circular binary, the chirp mass and sky localization accuracy can improve for an initially highly eccentric binary by a factor of ∼ 129 (38) and ∼ 2 (11) assuming an initial pericenter distance of 20 M tot (10 M tot ).

show abstract

“…The second one is the current mainstream, Markov chain Monte Carlo (MCMC) and nested sampling, which are stochastic sampling algorithms (Veitch et al 2015). In the early articles about measuring eccentricity, the Fisher information matrix method was widely used (Sun et al 2015;Ma et al 2017;Nishizawa et al 2017;Gondán et al 2018a;Pan et al 2019). Due to the limitations of FIM itself (Vallisneri 2008;Rodriguez et al 2013), it needs the true value of parameters and high signal-to-noise ratio, so none of the above works used real gravitational wave data.…”

Section: Introductionmentioning

confidence: 99%

Measuring eccentricity of binary black holes in GWTC-1 by using inspiral-only waveform

Wu,

Cao,

Zhu

2020

Preprint

Self Cite

View full text Add to dashboard Cite

In this paper, we estimate the eccentricity of the 10 BBHs in GWTC-1 by using the inspiral-only BBH waveform template EccentricFD. Firstly, we test our method with simulated eccentric BBHs. Afterwards we apply the method to the real BBH gravitational wave data. We find that the BBHs in GWTC-1 except GW151226, GW170608 and GW170729 admit almost zero eccentricity. Their upper limits on eccentricity rang from 0.033 to 0.084 with 90% credible interval at the reference frequency 10Hz. And their median eccentricities are 0.000. For GW151226, GW170608 and GW170729, the upper limits are higher than 0.1. But the median eccentricities are respectively 0.000, 0.064 and 0.000. We also point out the limitations of the inspiral-only waveform template in eccentricity measurement. The current eccentricity measurement results of GWTC-1 is not enough to constrain the formation mechanisms of BBHs, and more observational data are needed in the future.

show abstract

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

Cited by 23 publications

References 43 publications

Accuracy of source localization for eccentric inspiraling binary mergers using a ground-based detector network

Accuracy of source localization for eccentric inspiraling binary mergers using a ground-based detector network

Accuracy of Estimating Highly Eccentric Binary Black Hole Parameters with Gravitational-wave Detections

Measuring eccentricity of binary black holes in GWTC-1 by using inspiral-only waveform

Contact Info

Product

Resources

About