The influence of the mean anomaly on the dynamical quantities of binary black hole mergers in eccentric orbits

Abstract

In studies of binary black hole (BBH) mergers in eccentric orbits, the mean anomaly, traditionally regarded as less significant than eccentricity, has been thought to encode only the orbital phase, leading to the assumption that it exerts minimal influence on the dynamics of eccentric mergers. In a previous investigation, we identified consistent oscillations in dynamical quantities peak luminosity $L_{\text{peak}}$, remnant mass $M_{\text{rem}}$, spin ${\alpha }_{\text{rem}}$, and recoil velocity $V_{\text{rem}}$ in relation to the initial eccentricity $e_0$. These oscillations are associated with integer orbital cycles within a phenomenological framework. In this paper, we aim to explore the underlying physical nature of these oscillations through gravitational waveforms. Our examination of remnant mass and spin reveals that while the initial ADM mass $M_{\mathrm{ADM}}$ and orbital angular momentum $L_0$ exhibit gradual variations with $e_0$, the radiated energy $E_{\text{rad}}$ and angular momentum $L_{\text{rad}}$ display oscillatory patterns akin to those observed in $M_{\text{rem}}$ and ${\alpha }_{\text{rem}}$. By decomposing the waveforms into three distinct phases inspiral, late inspiral to merger, and ringdown, we demonstrate that these oscillations persist across all phases, suggesting a common origin. Through a comparative analysis of $E_{\text{rad}}$ and $L_{\text{rad}}$ derived from numerical relativity (NR), post-Newtonian (PN) waveforms, and orbital-averaged PN fluxes during the inspiral phase, we identify the initial mean anomaly $l_0$ as the source of the observed oscillations. ...

21 pages, 13 figures, published on PRD

References in corpus (30)

• Advanced Virgo: a 2nd generation interferometric gravitational wave detector
• GW190521: A Binary Black Hole Merger with a Total Mass of $150M_{\odot }$
• Total recoil: the maximum kick from nonspinning black-hole binary inspiral
• Calibration of Moving Puncture Simulations
• Lidov-Kozai Cycles with Gravitational Radiation: Merging Black Holes in Isolated Triple Systems
• On the final spin from the coalescence of two black holes
• Estimating the final spin of a binary black hole coalescence
• Spin Flips and Precession in Black-Hole-Binary Mergers
• Hierarchical data-driven approach to fitting numerical relativity data for nonprecessing binary black holes with an application to final spin and radiated energy
• High-spin binary black hole mergers
• Remnant mass, spin, and recoil from spin aligned black-hole binaries
• Gravitational Recoil during Binary Black Hole Coalescence using the Effective One Body Approach
• Reducing phase error in long numerical binary black hole evolutions with sixth order finite differencing
• Eccentric binary black hole surrogate models for the gravitational waveform and remnant properties: comparable mass, nonspinning case
• Circularization and Final Spin in Eccentric Binary Black Hole Inspirals
• Eccentric binary black-hole mergers: The transition from inspiral to plunge in general relativity
• Remnant of binary black-hole mergers: New simulations and peak luminosity studies
• Observing complete gravitational wave signals from dynamical capture binaries
• Foundations of multiple black hole evolutions
• Dynamical Excision Boundaries in Spectral Evolutions of Binary Black Hole Spacetimes
• The second RIT binary black hole simulations catalog and its application to gravitational waves parameter estimation
• Accuracy Issues for Numerical Waveforms
• Unveiling the merger structure of black hole binaries in generic planar orbits
• Amplification of superkicks in black-hole binaries through orbital eccentricity
• Impact of eccentricity and mean anomaly in numerical relativity mergers
• Gravitational wave peak luminosity model for precessing binary black holes
• Second MAYA Catalog of Binary Black Hole Numerical Relativity Waveforms
• Characterizing the effect of eccentricity on the dynamics of binary black hole mergers in numerical relativity
• Extreme resonant eccentricity excitation of stars around merging black-hole binary
• A complete waveform comparison of post-Newtonian and numerical relativity in eccentric orbits