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Improved filters for gravitational waves from inspiraling compact binaries

Damour, Thibault and Iyer, Bala R. and Sathyaprakash, B. S. (1998) Improved filters for gravitational waves from inspiraling compact binaries. Physical Review D, 57 (2). pp. 885-907. ISSN 0556-2821. http://resolver.caltech.edu/CaltechAUTHORS:DAMprd98

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Abstract

The order of the post-Newtonian expansion needed to extract in a reliable and accurate manner the fully general relativistic gravitational wave signal from inspiraling compact binaries is explored. A class of approximate wave forms, called P-approximants, is constructed based on the following two inputs: (a) the introduction of two new energy-type and flux-type functions e(v) and f(v), respectively, (b) the systematic use of the Padé approximation for constructing successive approximants of e(v) and f(v). The new P-approximants are not only more effectual (larger overlaps) and more faithful (smaller biases) than the standard Taylor approximants, but also converge faster and monotonically. The presently available (v/c)^5-accurate post-Newtonian results can be used to construct P-approximate wave forms that provide overlaps with the exact wave form larger than 96.5%, implying that more than 90% of potential events can be detected with the aid of P-approximants as opposed to a mere 10–15 % that would be detectable using standard post-Newtonian approximants.


Item Type:Article
Additional Information:©1997 The American Physical Society. Received 19 August 1997. It is a pleasure to thank Eric Poisson for providing the numerical test mass flux. B.R.I. thanks the Institut des Hautes Etudes Scientifiques, University of Wales Cardiff, and the Albert Einstein Institute, Potsdam, while B.S.S. thanks the Raman Research Institute and Institut des Hautes Etudes Scientifique for hospitality during different phases of this work. This work was supported in part by NSF grant PHY-9424337. B.S.S. thanks Kip Thorne and his group for useful conversations.
Subject Keywords:POST-NEWTONIAN EXPANSION; INNERMOST STABLE ORBITS; CIRCULAR ORBIT; BLACK-HOLE; 2ND-POST-NEWTONIAN ORDER; ENERGY-LOSS; RADIATION; SYSTEMS; PARTICLE; OBJECTS
Record Number:CaltechAUTHORS:DAMprd98
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:DAMprd98
Alternative URL:http://dx.doi.org/10.1103/PhysRevD.57.885
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:5548
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:25 Oct 2006
Last Modified:26 Dec 2012 09:13

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