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Title:  Gravitational radiation for extreme mass ratio inspirals to the 14th postNewtonian order 
Authors:  Fujita, Ryuichi 
Issue Date:  Mar2012 
Publisher:  Progress of Theoretical Physics 
Citation:  Progress of Theoretical Physics, 2012, Vol. 127, p583590 
Abstract:  We derive gravitational waveforms needed to compute the 14th postNewtonian (14PN) order energy flux for a particle in circular orbit around a Schwarzschild black hole, i.e. v28 beyond the leading Newtonian approximation where v is the orbital velocity of a test particle. We investigate the convergence of the energy flux in the PN expansion and suggest a fitting formula which can be used to extract unknown higher order PN coefficients from accurate numerical data for more general orbits around a Kerr black hole. The phase difference between the 14PN waveforms and numerical waveforms after two years inspiral is shown to be about 107 for µ/M = 104 and 103 for µ/M = 105 where µ is the mass of a compact object and M the mass of the central supermassive black hole. In first order black hole perturbation theory, for extreme mass ratio inspirals which are one of the main targets of Laser Interferometer Space Antenna, the 14PN expressions will lead to the data analysis accuracies comparable to the ones resulting from high precision numerical waveforms. 
Description:  Restricted Access. An openaccess version is available at arXiv.org (one of the alternative locations) 
URI:  http://hdl.handle.net/2289/4766 
ISSN:  0033068X 13474081 (online) 
Alternative Location:  http://arxiv.org/abs/1104.5615 http://dx.doi.org/10.1143/PTP.127.583 http://adsabs.harvard.edu/abs/2012PThPh.127..583F 
Copyright:  2012 Progress of Theoretical Physics 
Appears in Collections:  Research Papers (TP)

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