Built on

W. B. Bonnor and M. A. Rotenberg, Proceedings of the Royal Society of London Series A 265
1961
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A. Peres, Physical Review 128
1962
Earlier work this paper cites.
G. C. McVittie, in Les théories relativistes de la gravitation , Vol. 91 (1962) pp. 253–274
1962
Earlier work this paper cites.
C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, New York: McGraw-Hill, 1978 (1978)
1978
Earlier work this paper cites.
A. Krolak and B. F. Schutz, General Relativity and Gravitation 19
1987
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S. Droz, D. J. Knapp, E. Poisson, and B. J. Owen, PRD 59
1999
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N. Seto, S. Kawamura, and T. Nakamura, PRL 87
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M. Campanelli, C. O. Lousto, Y. Zlochower, and D. Merritt, PRL 98
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J. A. González, M. Hannam, U. Sperhake, B. Brügmann, and S. Husa, PRL 98
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W. Tichy and P. Marronetti, PRD 76
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M. Maggiore, Gravitational Waves. Vol. 1: Theory and Experiments , Oxford Master Series in Physics (Oxford University Press, 2007)
2007
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Then

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2018

Frequency-domain waveform approximants capturing Doppler shifts

Chamberlain, Katie, Moore, Christopher J., Gerosa, Davide et al.

Understand

Gravitational wave astrophysics has only just begun, and as current detectors are upgraded and new detectors are built, many new, albeit faint, features in the signals will become accessible.

One such feature is the presence of time-dependent Doppler shifts, generated by the acceleration of the center of mass of the gravitational-wave emitting system.
We here develop a generic method that takes a frequency-domain, gravitational-wave model devoid of Doppler shifts and introduces modifications that incorporate them.
Building upon a perturbative expansion that assumes the Doppler-shift velocity is small relative to the speed of light, the method consists of the inclusion of a single term in the Fourier phase and two terms in the Fourier amplitude.

Built on

W. B. Bonnor and M. A. Rotenberg, Proceedings of the Royal Society of London Series A 265
1961
Earlier work this paper cites.
A. Peres, Physical Review 128
1962
Earlier work this paper cites.
G. C. McVittie, in Les théories relativistes de la gravitation , Vol. 91 (1962) pp. 253–274
1962
Earlier work this paper cites.
C. M. Bender and S. A. Orszag, Advanced Mathematical Methods for Scientists and Engineers, New York: McGraw-Hill, 1978 (1978)
1978
Earlier work this paper cites.
A. Krolak and B. F. Schutz, General Relativity and Gravitation 19
1987
Earlier work this paper cites.
S. Droz, D. J. Knapp, E. Poisson, and B. J. Owen, PRD 59
1999
Earlier work this paper cites.
N. Seto, S. Kawamura, and T. Nakamura, PRL 87
2001
Earlier work this paper cites.
M. Campanelli, C. O. Lousto, Y. Zlochower, and D. Merritt, PRL 98
2007
Earlier work this paper cites.
J. A. González, M. Hannam, U. Sperhake, B. Brügmann, and S. Husa, PRL 98
2007
Earlier work this paper cites.
W. Tichy and P. Marronetti, PRD 76
2007
Earlier work this paper cites.
M. Maggiore, Gravitational Waves. Vol. 1: Theory and Experiments , Oxford Master Series in Physics (Oxford University Press, 2007)
2007
Earlier work this paper cites.
M. Favata, Journal of Physics Conference Series 154
Original
2009
Earlier work this paper cites.