Measuring orbital eccentricity and periastron advance in quasi-circular black hole simulations

Abstract

We compare different methods of computing the orbital eccentricity of quasi-circular binary black hole systems using the orbital variables and gravitational wave phase and frequency. For eccentricities of about a per cent, most methods work satisfactorily. For small eccentricity, however, the gravitational wave phase allows a particularly clean and reliable measurement of the eccentricity. Furthermore, we measure the decay of the orbital eccentricity during the inspiral and find reasonable agreement with post-Newtonian results. Finally, we measure the periastron advance of non-spinning binary black holes, and we compare them to post-Newtonian approximations. With the low uncertainty in the measurement of the periastron advance, we positively detect deviations between fully numerical simulations and post-Newtonian calculations.

12 pages, 8 figures.

References in corpus (22)

• Gravitational waves from scattering of stellar-mass black holes in galactic nuclei
• Inspiral, merger and ring-down of equal-mass black-hole binaries
• Calibration of Moving Puncture Simulations
• High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
• Solving Einstein's Equations With Dual Coordinate Frames
• Reducing orbital eccentricity in binary black hole simulations
• Binary black-hole evolutions of excision and puncture data
• Simulation of Binary Black Hole Spacetimes with a Harmonic Evolution Scheme
• Consistency of post-Newtonian waveforms with numerical relativity
• The last orbit of binary black holes
• Circularization and Final Spin in Eccentric Binary Black Hole Inspirals
• Zoom-Whirl Orbits in Black Hole Binaries
• Comparison of Numerical and Post-Newtonian Waveforms for Generic Precessing Black-Hole Binaries
• Phasing of gravitational waves from inspiralling eccentric binaries at the third-and-a-half post-Newtonian order
• Eccentric binary black-hole mergers: The transition from inspiral to plunge in general relativity
• Reducing eccentricity in black-hole binary evolutions with initial parameters from post-Newtonian inspiral
• Filling the holes: Evolving excised binary black hole initial data with puncture techniques
• An explicit harmonic code for black-hole evolution using excision
• Binary black holes on a budget: Simulations using workstations
• Searching for gravitational-wave signals emitted by eccentric compact binaries using a non-eccentric template bank: implications for ground-based detectors
• Eccentricity content of binary black hole initial data
• Measuring eccentricity in binary black-hole initial data

Cited by in corpus (32)

• A waveform model for eccentric binary black hole based on effective-one-body-numerical-relativity (EOBNR) formalism
• Gravitational-wave phasing for low-eccentricity inspiralling compact binaries to 3PN order
• Eccentric binary black hole surrogate models for the gravitational waveform and remnant properties: comparable mass, nonspinning case
• The Overlap of Numerical Relativity, Perturbation Theory and Post-Newtonian Theory in the Binary Black Hole Problem
• Validating the Effective-One-Body Numerical-Relativity Waveform Models for Spin-aligned Binary Black Holes along Eccentric Orbits
• The second RIT binary black hole simulations catalog and its application to gravitational waves parameter estimation
• Nonlinear studies of binary black hole mergers in Einstein-scalar-Gauss-Bonnet gravity
• The numerical relativity breakthrough for binary black holes
• The Third RIT binary black hole simulations catalog
• The SXS Collaboration's third catalog of binary black hole simulations
• Ready-to-use Fourier domain templates for compact binaries inspiraling along moderately eccentric orbits
• Impact of eccentricity on the gravitational wave searches for binary black holes: High mass case
• Eccentric binary black holes: Comparing numerical relativity and small mass-ratio perturbation theory
• Adding eccentricity to quasicircular binary-black-hole waveform models
• A Rosetta Stone for eccentric gravitational waveform models
• An efficient iterative method to reduce eccentricity in numerical-relativity simulations of compact binary inspiral
• Gravitational waves from eccentric extreme mass-ratio inspirals as probes of scalar fields
• Gravitational-Wave Data Analysis with High-Precision Numerical Relativity Simulations of Boson Star mergers
• Measurability of precession and eccentricity for heavy binary-black-hole mergers
• Measuring the ringdown scalar polarization of gravitational waves in Einstein scalar Gauss-Bonnet gravity
• Constraint on Brans-Dicke theory from intermediate/extreme mass ratio inspirals
• Generic initial data for binary boson stars
• Impact of eccentricity and mean anomaly in numerical relativity mergers
• Phenomenological relationship between eccentric and quasi-circular orbital binary black hole waveform
• Mapping eccentricity evolutions between numerical relativity and effective-one-body gravitational waveforms
• Universal phenomenological relations between spherical harmonic modes in non-precessing eccentric binary black hole merger waveforms
• Numerical Inside View of Hypermassive Remnant Models for GW170817
• Post-Newtonian theory-inspired framework for characterizing eccentricity in gravitational waveforms
• Data-driven extraction, phenomenology and modeling of eccentric harmonics in binary black hole merger waveforms
• A complete waveform comparison of post-Newtonian and numerical relativity in eccentric orbits
• Quasi-Normal Mode Ringing of Binary Black Hole Mergers in Scalar-Gauss-Bonnet Gravity
• Extended mass and spheroidal deformation effects on epicyclic frequencies and periapsis shift in quasi-circular orbits