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- W3094367023 abstract "Abstract Recently, we developed effective fly-by (EFB) waveforms designed to model the burst of gravitational radiation from highly eccentric binaries. We here present a faster to evaluate frequency domain EFB waveform. The waveform is constructed through the use of asymptotic expansions of hypergeometric functions. Since the waveform is fully analytic, we study the accuracy to which the binary’s parameters can be measured using a Fisher analysis. We find that degeneracies exist among the parameters, such that the waveform is parameterized in terms of the chirp mass <?CDATA $mathcal{M}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mi mathvariant=script>M</mml:mi> </mml:math> and orbital radius of curvature <?CDATA $mathcal{P}$?> <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline overflow=scroll> <mml:mi mathvariant=script>P</mml:mi> </mml:math> , instead of the total mass, symmetric mass ratio, and semi-latus rectum of the binary. By computing the Fisher matrix for single bursts from two thousand binary systems, we find that most of the systems will have greater than one hundred percent uncertainty in the chirp mass, luminosity distance, and inclination angle, while roughly half will have less than one hundred percent uncertainty in the orbital radius of curvature, orbital eccentricity, and polarization angle. Further, we repeat this analysis after including additional bursts within the inspiral sequence and find that the uncertainties in the waveform’s parameters can improve by orders of magnitude with a sufficient timing model for the bursts." @default.
- W3094367023 created "2020-10-29" @default.
- W3094367023 creator A5031337751 @default.
- W3094367023 date "2020-11-26" @default.
- W3094367023 modified "2023-10-13" @default.
- W3094367023 title "Fast frequency-domain effective fly-by waveforms" @default.
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- W3094367023 doi "https://doi.org/10.1088/1361-6382/abc3f6" @default.
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