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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 descriptions, i.e. the demand of…

General Relativity and Quantum Cosmology · Physics 2013-03-25 Manuel Tessmer , Gerhard Schaefer

Analytic modeling of gravitational waves from inspiraling eccentric binaries poses an interesting mathematical challenge. When constructing analytic waveforms in the frequency domain, one has to contend with the fact that the phase of the…

General Relativity and Quantum Cosmology · Physics 2023-10-04 Nicholas Loutrel

While current gravitational wave observations with ground based detectors have been consistent with compact binaries in quasi-circular orbits, eccentric binaries may be detectable by ground-based and space-based instruments in the near…

General Relativity and Quantum Cosmology · Physics 2019-09-04 Blake Moore , Nicolás Yunes

The inspiral and merger of supermassive black hole binary systems with high orbital eccentricity are among the promising sources of the advanced gravitational wave observatories. In this paper we derive analytic ready-to-use first…

General Relativity and Quantum Cosmology · Physics 2015-08-26 Balázs Mikóczi , Péter Forgács , Mátyás Vasúth

We lay the foundations for the construction of analytic expressions for Fourier-domain gravitational waveforms produced by eccentric, inspiraling compact binaries in a post-circular or small-eccentricity approximation. The time-dependent,…

General Relativity and Quantum Cosmology · Physics 2014-05-15 Nicolas Yunes , K. G. Arun , Emanuele Berti , Clifford M. Will

Unbound interacting compact binaries emit gravitational radiation in a wide frequency range. Since short burst-like signals are expected in future detectors, such as LISA or advanced LIGO, it is interesting to study their energy spectrum…

General Relativity and Quantum Cosmology · Physics 2012-09-19 Lorenzo De Vittori , Philippe Jetzer , Antoine Klein

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…

General Relativity and Quantum Cosmology · Physics 2011-02-28 Manuel Tessmer , Gerhard Schaefer

The memory effect in gravitational wave (GW) signals is the phenomenon, wherein the relative position of two inertial GW detectors undergoes a permanent displacement owing to the passage of GWs through them. Measurement of the memory signal…

General Relativity and Quantum Cosmology · Physics 2024-04-17 Arpan Hait , Subhendra Mohanty , Suraj Prakash

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 occur in Nature. Due to their complexity,…

General Relativity and Quantum Cosmology · Physics 2018-12-05 Blake Moore , Travis Robson , Nicholas Loutrel , Nicolas Yunes

While there has been much success in understanding the orbital dynamics and gravitational wave emission of eccentric compact binaries in the post-Newtonian formalism, some problems still remain. The largest of these concerns hereditary…

General Relativity and Quantum Cosmology · Physics 2019-07-18 Nicholas Loutrel , Nicolas Yunes

We derive an analytic expression for the energy spectrum of gravitational waves from a parabolic Keplerian binary by taking the limit of the Peters and Matthews spectrum for eccentric orbits. This demonstrates that the location of the peak…

General Relativity and Quantum Cosmology · Physics 2011-05-18 Christopher P. L. Berry , Jonathan R. Gair

For proposed third-generation gravitational-wave detectors such as the Einstein Telescope and Cosmic Explorer, whose sensitive bands are proposed to extend down to 5 Hz or below, the signals of low-mass compact binaries such as binary…

Instrumentation and Methods for Astrophysics · Physics 2024-07-23 Anson Chen , Nathan K Johnson-McDaniel

Binary systems of two compact objects circularize and spiral toward each other via the emission of gravitational waves. The coupling of the spins of each object with the orbital angular momentum causes the orbital plane to precess, which…

General Relativity and Quantum Cosmology · Physics 2017-02-08 Katerina Chatziioannou , Antoine Klein , Neil Cornish , Nicolas Yunes

The orbit-averaged fluxes of energy and angular momentum generated by a compact binary system of nonspinning particles are obtained in a popular class of massless scalar-tensor theories with first-and-a-half post-Newtonian (1.5PN) accuracy,…

General Relativity and Quantum Cosmology · Physics 2025-07-31 David Trestini

Taking into account the mass transfer effect, we derive the equations of motion of a compact binary system at the second-half post-Newtonian order. Applying such equations of motion to quasi-circular orbits, we obtain the time derivative of…

General Relativity and Quantum Cosmology · Physics 2025-10-08 Zi-Han Zhang , Tan Liu , Zong-Kuan Guo

In this work, we developed analytic asymptotic methods for computing the Fourier modes of gravitational waves from post-Newtonian binary systems in the quasi-Keplerian parametrization in the high eccentricity regime. We have also derived…

General Relativity and Quantum Cosmology · Physics 2026-04-29 Xiaolin Liu , Zhoujian Cao

The first calculation of the frequency spectrum of gravitational wave mass quadrupole radiation for binaries on hyperbolic orbits was performed in arXiv:1207.5359. Some shortcomings of their derivation were pointed out, but there are still…

General Relativity and Quantum Cosmology · Physics 2020-01-20 Matthias Gröbner , Philippe Jetzer , Maria Haney , Shubhanshu Tiwari , Wako Ishibashi

The coalescence of compact objects is one of the most promising sources of gravitational waves for ground-based interferometric detectors, such as advanced LIGO and Virgo. Generically, com- pact objects in binaries are expected to be…

General Relativity and Quantum Cosmology · Physics 2017-11-16 Katerina Chatziioannou , Antoine Klein , Nicolas Yunes , Neil Cornish

The rate of gravitational-wave energy loss from inspiralling binary systems of compact objects of arbitrary mass is derived through second post-Newtonian (2PN) order $O[(Gm/rc^2)^2]$ beyond the quadrupole approximation. The result has been…

General Relativity and Quantum Cosmology · Physics 2011-07-19 Luc Blanchet , Thibault Damour , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

We present a systematic framework for computing frequency-domain gravitational waveforms from relativistic binary scattering in different asymptotic regimes. The method yields a controlled series expansion that can in principle be extended…

High Energy Physics - Theory · Physics 2025-11-03 Giacomo Brunello , Vsevolod Chestnov , Giulio Crisanti , Mathieu Giroux , Sid Smith
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