Full-analytic frequency-domain 1pN-accurate gravitational wave forms from eccentric compact binaries

Abstract

The article provides ready-to-use 1pN-accurate frequency-domain gravitational wave forms for eccentric nonspinning compact binaries of arbitrary mass ratio including the first post-Newtonian (1pN) point particle corrections to the far-zone gravitational wave amplitude, given in terms of tensor spherical harmonics. The averaged equations for the decay of the eccentricity and growth of radial frequency due to radiation reaction are used to provide stationary phase approximations to the frequency-domain wave forms.

28 pages, submitted to PRD

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• Accuracy of Estimating Highly Eccentric Binary Black Hole Parameters with Gravitational-Wave Detections
• Parameter estimation for inspiraling eccentric compact binaries including pericenter precession
• An efficient iterative method to reduce eccentricity in numerical-relativity simulations of compact binary inspiral
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• Full-analytic frequency-domain gravitational wave forms from eccentric compact binaries to 2PN accuracy
• Residual eccentricity of inspiralling orbits at the gravitational-wave detection threshold: Accurate estimates using post-Newtonian theory
• Gravitational Waves from the Inspiral of Supermassive Black Holes in Galactic-scale Simulations
• Gravitational wave source localization for eccentric binary coalesce with a ground-based detector network
• Improved Constraints on Modified Gravity with Eccentric Gravitational Waves
• Efficient gravitational-wave model for fully-precessing and moderately-eccentric, compact binary inspirals
• Eccentric first post-Newtonian waveforms for compact binaries in frequency domain with Hansen coefficients
• Canonical Angles In A Compact Binary Star System With Spinning Components: Approximative Solution Through Next-To-Leading-Order Spin-Orbit Interaction for Circular Orbits
• Accuracy of source localization for eccentric inspiraling binary mergers using a ground-based detector network
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• Gravitational Radiation from Eccentric Binary Black Hole System in Dynamical Chern-Simons Gravity
• Modeling Gravitational Wave Modes from the Inspiral of Binaries with Arbitrary Eccentricity
• Eccentric Motion of Spinning Compact Binaries