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The loss of orbital energy and angular momentum to gravitational waves produced in a binary inspiral forces the orbital eccentricity to adiabatically evolve and oscillate. For comparable-mass binaries, the osculating eccentricity is thought…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Nicholas Loutrel , Samuel Liebersbach , Nicolas Yunes , Neil Cornish

Eccentricity of binary systems is not a gauge invariant quantity, but has an important impact on the observed gravitational wave signal of such systems, generating power in all possible harmonics of the orbital period. We here clarify the…

General Relativity and Quantum Cosmology · Physics 2019-01-21 Nicholas Loutrel , Samuel Liebersbach , Nicolas Yunes , Neil Cornish

We use equations of motion containing gravitational radiation-reaction terms through 4.5 post-Newtonian order to calculate the late-time eccentricities of inspiraling binary systems of non-spinning compact bodies as they cross the detection…

General Relativity and Quantum Cosmology · Physics 2021-11-16 Alexandria Tucker , Clifford M. Will

The secular evolution of a spinning, massive binary system in eccentric orbit is analyzed, expanding and generalizing our previous treatments of the Lense-Thirring motion and the one-spin limit. The spin-orbit and spin-spin effects up to…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely , Zoltán I. Perjés , Mátyás Vasúth

We study eccentric equatorial orbits of a test-body around a Kerr black hole under the influence of gravitational radiation reaction. We have adopted a well established two-step approach: assuming that the particle is moving along a…

General Relativity and Quantum Cosmology · Physics 2009-11-07 Kostas Glampedakis , Daniel Kennefick

We analyze 192 sets of binary black hole merger data in eccentric orbits obtained from RIT, decomposing the radiation energy into three distinct phases through time: inspiral, late inspiral to merger, and ringdown. Our investigation reveals…

General Relativity and Quantum Cosmology · Physics 2024-11-22 Hao Wang , Yuan-Chuan Zou , Qing Wen Wu

Starting with a post-Newtonian description of compact binary systems, we derive a set of equations that describes the evolution of the orbital angular momentum and both spin vectors during inspiral. We find regions of phase space that…

Astrophysics · Physics 2009-11-10 Jeremy D. Schnittman

We study the orbital evolution of eccentric binary neutron stars. The orbit is described as a Quasi-Keplarian orbit with perturbations due to tidal couplings. We find that the tidal interaction between stars contributes to orbital…

General Relativity and Quantum Cosmology · Physics 2019-09-25 Huan Yang

The herein presented analytical framework fully describes the motion of coplanar systems consisting of a stellar binary and a planet orbiting both stars on orbital as well as secular timescales. Perturbations of the Runge-Lenz vector are…

Earth and Planetary Astrophysics · Physics 2015-06-24 Nikolaos Georgakarakos , Siegfried Eggl

The dynamics of a binary system with two spinning components on an eccentric orbit is studied, with the inclusion of the spin-spin interaction terms appearing at the second post-Newtonian order. A generalized true anomaly parametrization…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely

The inspiral and merger of eccentric binaries leads to gravitational waveforms distinct from those generated by circularly merging binaries. Dynamical environments can assemble binaries with high eccentricity and peak frequencies within the…

High Energy Astrophysical Phenomena · Physics 2015-06-16 Johan Samsing , Morgan MacLeod , Enrico Ramirez-Ruiz

Gravitational radiation reaction, has been one of the fundamental issues in general relativity. Over a span of decades, this process has been analyzed in the adiabatic limit, in order to comprehend how it drives extreme-mass-ratio binaries,…

General Relativity and Quantum Cosmology · Physics 2024-12-04 Areti Eleni , Kyriakos Destounis , Theocharis A. Apostolatos , Kostas D. Kokkotas

We present a time domain waveform model that describes the inspiral-merger-ringdown (IMR) of compact binary systems whose components are non-spinning, and which evolve on orbits with low to moderate eccentricity. The inspiral evolution is…

A particle orbiting a misaligned eccentric orbit binary undergoes nodal precession either around the binary angular momentum vector (a circulating orbit) or around a stationary inclination (a librating orbit). In the absence of general…

Earth and Planetary Astrophysics · Physics 2022-04-20 Stephen Lepp , Rebecca G. Martin , Anna C. Childs

The radiative evolution of the relative orientations of the spin and orbital angular momentum vectors ${\bf S}_{{\bf 1}}, {\bf S}_{{\bf 2}}$ and ${\bf L}$, characterizing a binary system on eccentric orbit is studied up to the second…

General Relativity and Quantum Cosmology · Physics 2009-10-31 László Á. Gergely

Transient orbital resonances have recently been identified as potentially important to the inspiral of small bodies into large black holes. These resonances occur as the inspiral evolves through moments in which two fundamental orbital…

General Relativity and Quantum Cosmology · Physics 2015-06-16 Uchupol Ruangsri , Scott A. Hughes

The radiation reaction in compact spinning binaries on eccentric orbits due to the quadrupole-monopole interaction is studied. This contribution is of second post-Newtonian order. As result of the precession of spins the magnitude $L$ of…

General Relativity and Quantum Cosmology · Physics 2009-11-07 László Á. Gergely , Zoltán Keresztes

We develop a technique for estimating the inner eccentricity in hierarchical triple systems with well separated components. We investigate systems with initially circular and coplanar orbits and comparable masses. The technique is based on…

Earth and Planetary Astrophysics · Physics 2014-08-26 Nikolaos Georgakarakos

Black hole binaries with small mass ratios will be important sources for the forthcoming Laser Interferometer Space Antenna (LISA) mission. Models of such binaries also serve as useful tools for understanding the dynamics of compact binary…

General Relativity and Quantum Cosmology · Physics 2026-03-24 Devin R. Becker , Scott A. Hughes , Gaurav Khanna

We examine the evolution, under gravitational radiation reaction, of slightly eccentric equatorial orbits of point particles around Kerr black holes. Our method involves numerical integration of the Sasaki-Nakamura equation. It is…

General Relativity and Quantum Cosmology · Physics 2009-10-31 Daniel Kennefick
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