TY - JOUR

T1 - Parameter estimation for inspiraling eccentric compact binaries including pericenter precession

AU - Mikóczi, Balázs

AU - Kocsis, Bence

AU - Forgács, Péter

AU - Vasúth, Mátyás

PY - 2012/11/9

Y1 - 2012/11/9

N2 - Inspiraling supermassive black hole binary systems with high orbital eccentricity are important sources for space-based gravitational wave observatories like the Laser Interferometer Space Antenna. Eccentricity adds orbital harmonics to the Fourier transform of the gravitational wave signal, and relativistic pericenter precession leads to a three-way splitting of each harmonic peak. We study the parameter estimation accuracy for such waveforms with different initial eccentricity, using the Fisher matrix method and a MonteCarlo sampling of the initial binary orientation. The eccentricity improves the parameter estimation by breaking degeneracies between different parameters. In particular, we find that the source localization precision improves significantly for higher-mass binaries due to eccentricity. The typical sky position errors are ∼1deg for a nonspinning, 107M ™, equal-mass binary at redshift z=1, if the initial eccentricity 1yr before merger is e 0∼0.6. Pericenter precession does not affect the source localization accuracy significantly, but it does further improve the mass and eccentricity estimation accuracy systematically by a factor of 3-10 for masses between 106M and 107M for e 0∼0.3.

AB - Inspiraling supermassive black hole binary systems with high orbital eccentricity are important sources for space-based gravitational wave observatories like the Laser Interferometer Space Antenna. Eccentricity adds orbital harmonics to the Fourier transform of the gravitational wave signal, and relativistic pericenter precession leads to a three-way splitting of each harmonic peak. We study the parameter estimation accuracy for such waveforms with different initial eccentricity, using the Fisher matrix method and a MonteCarlo sampling of the initial binary orientation. The eccentricity improves the parameter estimation by breaking degeneracies between different parameters. In particular, we find that the source localization precision improves significantly for higher-mass binaries due to eccentricity. The typical sky position errors are ∼1deg for a nonspinning, 107M ™, equal-mass binary at redshift z=1, if the initial eccentricity 1yr before merger is e 0∼0.6. Pericenter precession does not affect the source localization accuracy significantly, but it does further improve the mass and eccentricity estimation accuracy systematically by a factor of 3-10 for masses between 106M and 107M for e 0∼0.3.

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U2 - 10.1103/PhysRevD.86.104027

DO - 10.1103/PhysRevD.86.104027

M3 - Article

AN - SCOPUS:84869006607

VL - 86

JO - Physical Review D - Particles, Fields, Gravitation and Cosmology

JF - Physical Review D - Particles, Fields, Gravitation and Cosmology

SN - 1550-7998

IS - 10

M1 - 104027

ER -