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Related papers: Gravitational waveforms for 2- and 3-body gravitat…

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Continuing work initiated in an earlier publication [Torigoe et al. Phys. Rev. Lett. {\bf 102}, 251101 (2009)], gravitational wave forms for a three-body system in Lagrange's orbit are considered especially in an analytic method. First, we…

General Relativity and Quantum Cosmology · Physics 2010-04-30 Hideki Asada

A particular solution to the three-body problem is the circular Lagrange three-body system, where the masses move in circular orbits such that they always constitute an equilateral triangle. Such a system has been found to emit…

General Relativity and Quantum Cosmology · Physics 2026-04-01 Carlos Jaimel Doctolero , Ian Vega

Three bodies moving in a periodic orbit under the influence of Newtonian gravity ought to emit gravitational waves. We have calculated the gravitational radiation quadrupolar waveforms and the corresponding luminosities for the 13+11…

General Relativity and Quantum Cosmology · Physics 2015-01-15 V. Dmitrašinović , Milovan Šuvakov , Ana Hudomal

We highlight some subtleties that affect naive implementations of quadrupolar and octupolar gravitational waveforms from numerically-integrated trajectories of three-body systems. Some of those subtleties arise from the requirement that the…

General Relativity and Quantum Cosmology · Physics 2018-01-10 Matteo Bonetti , Enrico Barausse , Guillaume Faye , Francesco Haardt , Alberto Sesana

None of N-body gravitating systems have been considered to emit periodic gravitational waves because of their chaotic orbits when N=3 (or more). We employ a figure-eight orbit as a specific model for a 3-body system in order to illustrate…

Astrophysics · Physics 2008-11-26 Takamasa Chiba , Tatsunori Imai , Hideki Asada

The paper generalizes the structure of gravitational waves from orbiting spinning binaries under leading order spin-orbit coupling, as given in the work by K\"onigsd\"orffer and Gopakumar [PRD 71, 024039 (2005)] for single-spin and…

General Relativity and Quantum Cosmology · Physics 2015-05-14 Manuel Tessmer

We compute the gravitational waveform from a binary system in scalar-tensor gravity at 2PN relative order. We restrict our calculation to non-spinning binary systems on quasi-circular orbits and compute the spin-weighted spherical modes of…

General Relativity and Quantum Cosmology · Physics 2017-10-11 Noah Sennett , Sylvain Marsat , Alessandra Buonanno

The prospect of unprecedented high-quality data of gravitational waves in the upcoming decades demands a theoretical effort to optimally study and analyze the signals that next generation detectors will provide. Here we study the…

General Relativity and Quantum Cosmology · Physics 2024-04-08 Mikel Martin Barandiaran , Sachiko Kuroyanagi , Savvas Nesseris

In the quadrupole approximation of General Relativity in the weak-field limit, a time-varying quadrupole moment generates gravitational radiation. Binary orbits are one of the main mechanisms for producing gravitational waves and are the…

General Relativity and Quantum Cosmology · Physics 2019-09-11 A. Miguel Holgado , Paul M. Ricker

One of the promising sources of gravitational radiation is a binary system composed of compact stars. It is an important question how the rotation of the bodies and the eccentricity of the orbit affect the detectable signal. Here we present…

General Relativity and Quantum Cosmology · Physics 2010-10-27 Mátyás Vasúth , János Majár

Using an effective one body approach we describe in detail gravitational waves from classical three body problem on a non-rotating straight line and derive their basic physical characteristics. Special attention is paid to the irregular…

High Energy Astrophysical Phenomena · Physics 2016-09-16 Plamen P Fiziev

In this paper we consider the Extra-solar Planetary Systems recently discovered in our Galaxy as potential sources of gravitational waves. We estimate the frequency and characteristic amplitude of the radiation they emit due to the orbital…

Astrophysics · Physics 2009-10-31 Valeria Ferrari , Marco D'Andrea , Emanuele Berti

The two independent ``plus" and ``cross" polarization waveforms associated with the gravitational waves emitted by inspiralling, non-spinning, compact binaries are presented, ready for use in the data analysis of signals received by future…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Luc Blanchet , Bala R. Iyer , Clifford M. Will , Alan G. Wiseman

We produce gravitational waveforms for nonspinning compact binaries undergoing a quasicircular inspiral. Our approach is based on a two-timescale expansion of the Einstein equations in second-order self-force theory, which allows…

General Relativity and Quantum Cosmology · Physics 2023-08-16 Barry Wardell , Adam Pound , Niels Warburton , Jeremy Miller , Leanne Durkan , Alexandre Le Tiec

It has been suggested that single and double jets observed emanating from certain astrophysical objects may have a purely gravitational origin. We discuss new classes of plane-fronted and pulsed gravitational wave solutions to the equation…

General Relativity and Quantum Cosmology · Physics 2017-01-18 Robin W. Tucker , Timothy J. Walton

A binary system, composed of a compact object orbiting around a massive central body, will emit gravitational waves which will depend on the central body's spacetime geometry. We expect that the gravitational wave observables will somehow…

General Relativity and Quantum Cosmology · Physics 2009-11-11 Thomas P. Sotiriou , Theocharis A. Apostolatos

A generalized true anomaly-type parametrization, convenient to describe both bound and open orbits of a two-body system in general relativity is introduced. A complete description of the time evolution of both the radial and of the angular…

General Relativity and Quantum Cosmology · Physics 2010-10-05 János Majár , Péter Forgács , Mátyás Vasúth

Binary neutron star mergers are unique sources of gravitational waves in multi-messenger astronomy. The inspiral phase of binary neutron stars can emit gravitational waves as chirp signals. The present waveform models of gravitational wave…

General Relativity and Quantum Cosmology · Physics 2023-11-23 RunDong Tang , Wen-Biao Han , XingYu Zhong , Ye Jiang , Ping Shen , Yu Wang

Gravitational waves generated by inspiralling compact binaries are investigated to the second--post-Newtonian (2PN) approximation of general relativity. Using a recently developed 2PN-accurate wave generation formalism, we compute the…

General Relativity and Quantum Cosmology · Physics 2014-11-17 Luc Blanchet , Thibault Damour , Bala R. Iyer

We summarize the observations of the spin periods of rapidly accreting neutron stars. If gravitational radiation is responsible for balancing the accretion torque at the observed spin frequencies of ~300 Hz, then the brightest of these…

Astrophysics · Physics 2009-10-31 Greg Ushomirsky , Lars Bildsten , Curt Cutler
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