Accuracy of estimation of parameters with space-borne gravitational wave observatory

Abstract

Employing the Fisher information matrix analysis, we estimate parameter errors of TianQin and LISA for monochromatic gravitational waves. With the long-wavelength approximation we derive analytical formulas for the parameter estimation errors. We separately analyze the effects of the amplitude modulation due to the changing orientation of the detector plane and the Doppler modulation due to the translational motion of the center of the detector around the Sun. We disclose that in the low frequency regime there exist different patterns in angular resolutions and estimation errors of sources' parameters between LISA and TianQin, the angular resolution falls off as $S_n(f)/f^2$ for TianQin but $S_n(f)$ for LISA, and the estimation errors of the other parameters fall off as $\sqrt{S_n(f)}/f$ for TianQin but $\sqrt{S_n(f)}$ for LISA. In the medium frequency regime we observe the same pattern where the angular resolution falls off as $S_n(f)/f^2$ and the estimation errors of the other parameters fall off as $\sqrt{S_n(f)}$ for both TianQin and LISA. In the high frequency regime, the long-wavelength approximation fails, we numerically calculate the parameter estimation errors for LISA and TianQin and find that the parameter estimation errors measured by TianQin are smaller than those by LISA.

arXiv comment17 pages, 8 figures, 1 tables

References in corpus (42)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• GWTC-1: A Gravitational-Wave Transient Catalog of Compact Binary Mergers Observed by LIGO and Virgo during the First and Second Observing Runs
• GW151226: Observation of Gravitational Waves from a 22-Solar-Mass Binary Black Hole Coalescence
• GW170104: Observation of a 50-Solar-Mass Binary Black Hole Coalescence at Redshift 0.2
• GWTC-2: Compact Binary Coalescences Observed by LIGO and Virgo During the First Half of the Third Observing Run
• GW170814: A Three-Detector Observation of Gravitational Waves from a Binary Black Hole Coalescence
• TianQin: a space-borne gravitational wave detector
• Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics Beyond LambdaCDM
• GW190814: Gravitational Waves from the Coalescence of a 23 M${}_{\odot }$ Black Hole with a 2.6 M${}_{\odot }$ Compact Object
• GW190425: Observation of a Compact Binary Coalescence with Total Mass $\sim 3.4M_{\odot }$
• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Laser Interferometer Space Antenna
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• GW170608: Observation of a 19-solar-mass Binary Black Hole Coalescence
• Bilby: A user-friendly Bayesian inference library for gravitational-wave astronomy
• Using gravitational-wave standard sirens
• GW150914: The Advanced LIGO Detectors in the Era of First Discoveries
• GW190412: Observation of a Binary-Black-Hole Coalescence with Asymmetric Masses
• LISA Capture Sources: Approximate Waveforms, Signal-to-Noise Ratios, and Parameter Estimation Accuracy
• Use and Abuse of the Fisher Information Matrix in the Assessment of Gravitational-Wave Parameter-Estimation Prospects
• Angular Resolution of the LISA Gravitational Wave Detector
• Rapid Bayesian position reconstruction for gravitational-wave transients
• The LISA-Taiji network
• Science with the TianQin Observatory: Preliminary results on Galactic double white dwarf binaries
• Parameter estimation for binary neutron-star coalescences with realistic noise during the Advanced LIGO era
• Forward Modeling of Space-borne Gravitational Wave Detectors
• Geometrical Expression for the Angular Resolution of a Network of Gravitational-Wave Detectors
• Fundamentals of the orbit and response for TianQin
• Localization accuracy of compact binary coalescences detected by the third-generation gravitational-wave detectors and implication for cosmology
• Space missions to detect the cosmic gravitational-wave background
• Preliminary study on parameter estimation accuracy of supermassive black hole binary inspirals for TianQin
• Comparison of Gravitational Wave Detector Network Sky Localization Approximations
• The Angular Resolution of Space-Based Gravitational Wave Detectors
• The Effect of Higher Harmonic Corrections on the Detection of massive black hole binaries with LISA
• Parameter estimation for gravitational-wave bursts with the BayesWave pipeline
• Numerical simulation of sky localization for LISA-TAIJI joint observation
• The LISA-Taiji network: precision localization of massive black hole binaries
• Localization of binary mergers with gravitational-wave detectors of second and third generation
• Localization of transient gravitational wave sources: beyond triangulation
• Sky localization of space-based gravitational wave detectors
• Fast localization of coalescing binaries with a heterogeneous network of advanced gravitational wave detectors

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