Gravitational waves from inspiralling compact binaries: Parameter estimation using second-post-Newtonian waveforms

Abstract

The parameters of inspiralling compact binaries can be estimated using matched filtering of gravitational-waveform templates against the output of laser-interferometric gravitational-wave detectors. Using a recently calculated formula, accurate to second post-Newtonian (2PN) order [order $(v/c{)}^4$, where $v$ is the orbital velocity], for the frequency sweep ($dF/dt$) induced by gravitational radiation damping, we study the statistical errors in the determination of such source parameters as the ``chirp mass'' $\mathcal{M}$, reduced mass $\mu$, and spin parameters $\beta$ and $\sigma$ (related to spin-orbit and spin-spin effects, respectively). We find that previous results using template phasing accurate to 1.5PN order actually underestimated the errors in $\mathcal{M}$, $\mu$, and $\beta$. For two inspiralling neutron stars, the measurement errors increase by less than 16 percent.

14 pages, ReVTeX

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• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
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• Detecting White Dwarf Binary Mergers with Gravitational Waves
• Distinguishing between Black Holes and Neutron Stars within a Population of Weak Tidal Measurements
• Systematic bias due to eccentricity in parameter estimation for merging binary neutron stars : Spinning case
• Frequency Estimation of Gravitational Waves from a Binary Black Hole Merger
• Constraining runaway dilaton models using joint gravitational-wave and electromagnetic observations
• Rotation-dependent $I$-Love-$Q$-$\delta M$ relations in perturbation theory