Spectral Analysis of the Gravitational Radiation Emitted by Binary Systems in Moderately Eccentric Orbits - Application to Coalescing Binaries

Details Spectral Analysis of the Gravitational Radiation Emitted by Binary Systems in Moderately Eccentric Orbits - Application to Coalescing Binaries Spectral Analysis of the Gravitational Radiation Emitted by Binary Systems in Moderately Eccentric Orbits - Application to Coalescing Binaries

Jan 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994mnras.266...16m&link_type=abstract

Monthly Notices of the Royal Astronomical Society, Vol. 266, NO. 1/JAN, P. 16, 1994

Astronomy and Astrophysics

Astronomy

12

Gravitation - Radiation Mechanisms: Gravitational - Relativity - Binaries: General

Scientific paper

We obtain the form of the gravitational waves emitted by eccentric binary systems, including general relativistic periastron advance effects. Using the method of stationary phase, we find the Fourier transform of the amplitude. The Fourier analysis is based on an approximation of the waveform consisting of a linear superposition of five harmonics of the orbital frequency, valid up to medium eccentricities (e≃0.33). We show that it is not necessary to change the detector parameters in a light-recycling design to achieve the optimum signal-to-noise ratio for the different harmonics. We also find that, for eccentric orbits, the observation time window can be enlarged by a factor of 10 in some cases.

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