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      Next-to-next-to-leading order spin–orbit effects in the gravitational wave flux and orbital phasing of compact binaries

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      Classical and Quantum Gravity
      IOP Publishing

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          Spinning Test-Particles in General Relativity. I

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            Gravitational two-body problem with arbitrary masses, spins, and quadrupole moments

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              Is Open Access

              Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?

              The most promising source of gravitational waves for the planned detectors LIGO and VIRGO are merging compact binaries, i.e., neutron star/neutron star (NS/NS), neutron star/black hole (NS/BH), and black hole/black-hole (BH/BH) binaries. We investigate how accurately the distance to the source and the masses and spins of the two bodies will be measured from the gravitational wave signals by the three detector LIGO/VIRGO network using ``advanced detectors'' (those present a few years after initial operation). The combination \({\cal M} \equiv (M_1 M_2)^{3/5}(M_1 +M_2)^{-1/5}\) of the masses of the two bodies is measurable with an accuracy \(\approx 0.1\%-1\%\). The reduced mass is measurable to \(\sim 10\%-15\%\) for NS/NS and NS/BH binaries, and \(\sim 50\%\) for BH/BH binaries (assuming \(10M_\odot\) BH's). Measurements of the masses and spins are strongly correlated; there is a combination of \(\mu\) and the spin angular momenta that is measured to within \(\sim 1\%\). We also estimate that distance measurement accuracies will be \(\le 15\%\) for \(\sim 8\%\) of the detected signals, and \(\le 30\%\) for \(\sim 60\%\) of the signals, for the LIGO/VIRGO 3-detector network.
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                Author and article information

                Journal
                Classical and Quantum Gravity
                Class. Quantum Grav.
                IOP Publishing
                0264-9381
                1361-6382
                July 07 2013
                July 07 2013
                June 07 2013
                : 30
                : 13
                : 135009
                Article
                10.1088/0264-9381/30/13/135009
                0ef397f4-2e1a-4073-b0c1-40092129f8da
                © 2013

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