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- W1586734267 abstract "We introduce a new template for the detection of gravitational waves from compact binary systems which is based on Chebyshev polynomials of the first kind. As well as having excellent convergence properties, these polynomials are also very closely related to the elusive minimax polynomial. In this study we have limited ourselves to the test-mass regime, where we model a test particle in a circular equatorial orbit around a Schwarzschild black hole. Our objective is to model the numerical gravitational wave flux function, starting with the post-Newtonian expansion from Black Hole Perturbation Theory. We introduce a new Chebyshev approximation to the flux function, which due to a process called Chebyshev economization gives a better model than either post-Newtonian or Pade based methods. A graphical examination of the new flux function shows that it gives an excellent fit to the numerical flux, but more importantly we find that at the last stable orbit the error is reduced, 0.99, and smaller errors, < 1/10%, in the estimation of the Chirp mass when compared to a fiducial exact waveform, constructed using the numerical flux and the exact expression for the orbital energy function, again at all orders of approximation. We also show that in the test-mass case, the new Chebyshev template is superior to both PN and Pade approximant templates, especially at lower orders of approximation." @default.
- W1586734267 created "2016-06-24" @default.
- W1586734267 creator A5075682563 @default.
- W1586734267 date "2005-10-28" @default.
- W1586734267 modified "2023-09-27" @default.
- W1586734267 title "A new and improved template for the detection of gravitational waves from compact binary systems using Chebyshev polynomials" @default.
- W1586734267 hasPublicationYear "2005" @default.
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