Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH

Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH Gravitational Waves from Inspiralling Compact Binaries in ... - LUTH

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Earlier Work ∗ MBM (1994), Martel Poisson (1999), Pierro et al (2001), Influence of eccentricity on the SNR in GWDA, ∗ Gusev et al (2002), Seto (1991) LISA will be sensitive to eccentric Galactic binary neutron stars and that by measuring their periastron advance, accurate estimates for the total mass of these binaries may be obtained ∗ Damour Schäfer (1987), Schäfer Wex (1994): 2PN GQKR Will Wiseman (1996), Gopakumar Iyer (1997) 2PN GWF, Energy Flux, AM Flux, Evoln of Orbital elts under 2PN GRR ∗ Gopakumar Iyer (2002), 2PN GW Polarisations. Effects of eccentricity, advance of periastron and orbital inclination on power spectrum of the dominant Newtonian part of the polarizations BRI-IHP06-I – p.11/??

Earlier Work ∗ GW from an eccentric binary, during that stage of inspiral where the GRR is so small that the orbital parameters can be treated as essentially unchanging over a few orbital periods (‘adiabatic approx’). ∗ Damour, Gopakumar and Iyer (2004) Analytic method for constructing high accuracy templates for the GW sig- nals from the inspiral phase of compact binaries moving on quasi-elliptical orbits by improved “method of variation of constants” to combine the three time scales involved in the elliptical orbit case, namely, orbital period, periastron pre- cession and radiation reaction time scales, without making the usual approximation of treating the radiative time scale as an adiabatic process. BRI-IHP06-I – p.12/??

Earlier Work<br />

∗ GW <strong>from</strong> an eccentric b<strong>in</strong>ary, dur<strong>in</strong>g that stage of <strong>in</strong>spiral<br />

where the GRR is so small that the orbital parameters can<br />

be treated as essentially unchang<strong>in</strong>g over a few orbital<br />

periods (‘adiabatic approx’).<br />

∗ Damour, Gopakumar and Iyer (2004) Analytic method<br />

for construct<strong>in</strong>g high accuracy templates for the GW sig-<br />

nals <strong>from</strong> the <strong>in</strong>spiral phase of compact b<strong>in</strong>aries mov<strong>in</strong>g on<br />

quasi-elliptical orbits by improved “method of variation of<br />

constants” to comb<strong>in</strong>e the three time scales <strong>in</strong>volved <strong>in</strong> the<br />

elliptical orbit case, namely, orbital period, periastron pre-<br />

cession and radiation reaction time scales, without mak<strong>in</strong>g<br />

the usual approximation of treat<strong>in</strong>g the radiative time scale<br />

as an adiabatic process.<br />

BRI-IHP06-I – p.12/??

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