Probability distribution function for inclinations of merging compact binaries detected by gravitational wave interferometers

Abstract

We analytically discuss probability distribution function (PDF) for inclinations of merging compact binaries whose gravitational waves are coherently detected by a network of ground based interferometers. The PDF would be useful for studying prospects of (1) simultaneously detecting electromagnetic signals (such as gamma-ray-bursts) associated with binary mergers and (2) statistically constraining the related theoretical models from the actual observational data of multi-messenger astronomy. Our approach is similar to Schutz (2011), but we explicitly include the dependence of the polarization angles of the binaries, based on the concise formulation given in Cutler and Flanagan (1994). We find that the overall profiles of the PDFs are similar for any networks composed by the second generation detectors (Advanced-LIGO, Advanced-Virgo, KAGRA, LIGO-India). For example, 5.1% of detected binaries would have inclination angle less than 10 degree with at most 0.1% differences between the potential networks. A perturbative expression is also provided for generating the PDFs with a small number of parameters given by directional averages of the quantity $\epsilon$ that characterises the asymmetry of network sensitivities to incoming two orthogonal polarization modes.

arXiv comment8 pages, 6 figures, accepted for publication in MNRAS

References in corpus (26)

• Gravitational Waves from Mergin Compact Binaries: How Accurately Can One Extract the Binary's Parameters from the Inspiral Waveform?
• Predictions for the Rates of Compact Binary Coalescences Observable by Ground-based Gravitational-wave Detectors
• Physics, Astrophysics and Cosmology with Gravitational Waves
• Short-Hard Gamma-Ray Bursts
• A "kilonova" associated with short-duration gamma-ray burst 130603B
• Observing binary inspiral in gravitational radiation: One interferometer
• What is the Most Promising Electromagnetic Counterpart of a Neutron Star Binary Merger?
• An r-Process Kilonova Associated with the Short-Hard GRB 130603B
• Exploring short gamma-ray bursts as gravitational-wave standard sirens
• Networks of gravitational wave detectors and three figures of merit
• The Electromagnetic Signals of Compact Binary Mergers
• Toward Early-Warning Detection of Gravitational Waves from Compact Binary Coalescence
• The third post-Newtonian gravitational wave polarisations and associated spherical harmonic modes for inspiralling compact binaries in quasi-circular orbits
• Identifying Elusive Electromagnetic Counterparts to Gravitational Wave Mergers: an end-to-end simulation
• Source localization with an advanced gravitational wave detector network
• Progenitor models of the electromagnetic transient associated with the short GRB 130603B
• Ultrarelativistic electromagnetic counterpart to binary neutron star mergers
• Phenomenology of amplitude-corrected post-Newtonian gravitational waveforms for compact binary inspiral. I. Signal-to-noise ratios
• Swift follow-up observations of candidate gravitational-wave transient events
• Electromagnetic transients as triggers in searches for gravitational waves from compact binary mergers
• Synergy of short gamma ray burst and gravitational wave observations: Constraining the inclination angle of the binary and possible implications for off-axis gamma ray bursts
• Outlook for detection of GW inspirals by GRB-triggered searches in the Advanced detector era
• Pre-merger localization of eccentric compact binary coalescences with second-generation gravitational-wave detector networks
• Parameter estimation of neutron star-black hole binaries using an advanced gravitational-wave detector network: Effects of the full post-Newtonian waveform
• Estimating detection rates of compact binary inspirals for networks of ground-based gravitational-wave detectors
• Toward finding gravitational-wave signals from progenitors of short hard gamma-ray bursts and orphaned afterglows

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