Preliminary study on parameter estimation accuracy of supermassive black hole binary inspirals for TianQin

Wen-Fan Feng; Hai-Tian Wang; Xin-Chun Hu; Yi-Ming Hu; Yan Wang

doi:10.1103/PhysRevD.99.123002

paper

Preliminary study on parameter estimation accuracy of supermassive black hole binary inspirals for TianQin

arXiv:1901.02159 · doi:10.1103/PhysRevD.99.123002

Abstract

We use the Fisher information matrix method to calculate the parameter estimation accuracy of inspiraling supermassive black holes binaries for TianQin, a space-borne laser interferometric detector aimed at detecting gravitational waves in the millihertz frequency band. The `restricted' post-Newtonian waveform in which third order post-Newtonian (3PN) phase including spin effects (spin-orbit $β$ and spin-spin $σ$ ) and first-order eccentricity contribution is employed. Monte Carlo simulations using $1 0^{3}$ binaries for mass pairs with component masses in the range of $(1 0^{5}, 1 0^{7}) M_{⊙}$ and cosmological redshift $z = 0.5$ show that the medians of the root-mean-square error distributions for the chirp mass $M_{c}$ and symmetric mass ratio $η$ are in the range of $\sim 0.02% - 0.7%$ and $\sim 4% - 8%$ , respectively. The luminosity distance $D_{L}$ can be determined to be $\sim 1% - 3%$ , and the angular resolution of source $ΔΩ$ is better than 12 deg $^{2}$ . The corresponding results for $z = 1.0$ and $2.0$ , which are deteriorated with the decreasing of the signal-to-noise ratio, have also been given. We show that adding spin parameters degrades measurement accuracy of the mass parameters ( $M_{c}$ , $η$ ), and the time and the orbital phase of coalescence ( $t_{c}$ , $ϕ_{c}$ ); the inclusion of the first-order eccentricity correction to the phase worsens the estimation accuracy comparing with the circular cases. We also show the effects of post-Newtonian order on parameter estimation accuracy by comparing the results based on second order and third order post-Newtonian phases. Moreover, we calculate the horizon distance of supermassive black hole binaries for TianQin.

16 pages, 5 figures, 4 tables. To be published in Phys. Rev. D

Preliminary study on parameter estimation accuracy of supermassive black hole binary inspirals for TianQin

Abstract

References in corpus (51)

Cited by in corpus (49)