Residual eccentricity of inspiralling orbits at the gravitational-wave detection threshold: Accurate estimates using post-Newtonian theory
@article{Tucker2021ResidualEO, title={Residual eccentricity of inspiralling orbits at the gravitational-wave detection threshold: Accurate estimates using post-Newtonian theory}, author={Alexandria Tucker and Clifford M. Will}, journal={Physical Review D}, year={2021} }
We use equations of motion containing gravitational radiation-reaction terms through 4.5 postNewtonian order to calculate the late-time eccentricities of inspiraling binary systems of non-spinning compact bodies as they cross the detection threshold of ground-based gravitational-wave interferometers. The initial eccentricities can be as large as 0.999. We find that the final eccentricities are systematically smaller than those predicted by the leading quadrupole approximation, by as much as 30…
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References
SHOWING 1-10 OF 67 REFERENCES
Gravitational Radiation from Post-Newtonian Sources and Inspiralling Compact Binaries
- PhysicsLiving reviews in relativity
- 2014
The current state of the art on post-Newtonian methods as applied to the dynamics and gravitational radiation of general matter sources (including the radiation reaction back onto the source) and inspiralling compact binaries is presented.
Constraining the orbital eccentricity of inspiralling compact binary systems with Advanced LIGO
- PhysicsPhysical Review D
- 2022
The detection of ∼ 50 coalescing compact binaries with the Advanced LIGO and Virgo detectors has allowed us to test general relativity, constrain merger rates, and look for evidence of tidal effects,…
Towards a Fourier domain waveform for non-spinning binaries with arbitrary eccentricity
- GeologyClassical and Quantum Gravity
- 2018
Although the gravitational waves observed by advanced LIGO and Virgo are consistent with compact binaries in a quasi-circular inspiral prior to coalescence, eccentric inspirals are also expected to…
On the Eccentricity Distribution of Coalescing Black Hole Binaries Driven by the Kozai Mechanism in Globular Clusters
- Physics
- 2002
In a globular cluster, hierarchical triple black hole systems can be produced through binary-binary interaction. It has been proposed recently that the Kozai mechanism could drive the inner binary of…
Induced Ellipticity for Inspiraling Binary Systems
- Physics
- 2017
Although gravitational waves tend to erase eccentricity of an inspiraling binary system, ellipticity can be generated in the presence of surrounding matter. We present a semianalytical method for…
The Collapse of Dense Star Clusters to Supermassive Black Holes: Binaries and Gravitational Radiation
- Physics
- 1987
The formation of binaries as a result of normal stellar-dynamic processes in dense clusters of compact stars is investigated analytically. The results of numerical simulations based on a simple…
Lidov-Kozai Cycles with Gravitational Radiation: Merging Black Holes in Isolated Triple Systems
- Physics
- 2016
We show that a black-hole binary with an external companion can undergo Lidov–Kozai cycles that cause a close pericenter passage, leading to a rapid merger due to gravitational-wave emission. This…
Double-averaging can fail to characterize the long-term evolution of Lidov–Kozai Cycles and derivation of an analytical correction
- Physics, Geology
- 2016
The double-averaging (DA) approximation is widely employed as the standard technique in studying the secular evolution of the hierarchical three-body system. We show that effects stemmed from the…
Full‐analytic frequency‐domain gravitational wave forms from eccentric compact binaries to 2PN accuracy
- Physics
- 2011
The article provides full‐analytic gravitational wave (GW) forms for eccentric nonspinning compact binaries of arbitrary mass ratio in the time Fourier domain. The semi‐analytical property of recent…
An Analytical Portrait of Binary Mergers in Hierarchical Triple Systems
- PhysicsThe Astrophysical Journal
- 2018
With better statistics and precision, eccentricity could prove to be a useful tool for understanding the origin and environment of binary black holes. Hierarchical triples in particular, which might…