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

Eric Poisson, Clifford M. Will
1995 Physical Review D, Particles and fields  
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
more » ... mass" M, reduced mass μ, and spin parameters β and σ (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 M, μ, and β. For two inspiralling neutron stars, the measurement errors increase by less than 16 percent.
doi:10.1103/physrevd.52.848 pmid:10019304 fatcat:doa3baoojfc4njsni33t6iy3uq