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Observations of the Kuiper Belt indicate that a larger than expected percentage of KBO's (approximately 8 out of 500) are in binary pairs. The formation and survival of such objects presents a conundrum [1]. Two competing theories have been…

Space Physics · Physics 2007-05-23 R. C. Nazzario , T. W. Hyde

We investigate the dynamical evolution of hierarchical three-body systems under the effect of tides, when the ratio of the orbital semi-major axes is small and the mutual inclination is relatively large (greater than 20 degrees). Using the…

Earth and Planetary Astrophysics · Physics 2011-07-06 Alexandre C. M. Correia , Jacques Laskar , François Farago , Gwenaël Boué

Binary compact objects will be among the important sources for the future space-based gravitational wave detectors. Such binary compact objects include stellar massive binary black hole, binary neutron star, binary white dwarf and mixture…

General Relativity and Quantum Cosmology · Physics 2023-06-21 Li-Fang Li , Zhoujian Cao

We study the gravitational wave (GW) emission of sources perturbed by periodic dynamical forces which do not cause secular evolution in the orbital elements. We construct a corresponding post-Newtonian waveform model and provide estimates…

General Relativity and Quantum Cosmology · Physics 2024-10-24 Lorenz Zwick , Christopher Tiede , Alessandro A. Trani , Andrea Derdzinski , Zoltan Haiman , Daniel J. D'Orazio , Johan Samsing

We present a numerical study on the stability of the 1/2, 2/1 and 1/1 retrograde mean motion resonances in the 3-body problem composed of a solar mass star, a Jupiter mass planet and an additional body with zero mass (elliptic restricted…

Earth and Planetary Astrophysics · Physics 2022-06-15 G. A. Caritá , A. C. Signor , M. H. M. Morais

Pulsars in close binary orbit around another neutron star or a massive white dwarf make ideal laboratories for testing the predictions of gravitational radiation and self-gravitational effects. We report new timing measurements of the…

Astrophysics · Physics 2008-11-26 N. D. Ramesh Bhat , Matthew Bailes , Joris P. W. Verbiest

Continuing previous work on the 3PN-accurate gravitational wave generation from point particle binaries, we obtain the binary's 3PN mass-type quadrupole and dipole moments for general (not necessarily circular) orbits in harmonic…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Luc Blanchet , Bala R. Iyer

We study circumbinary accretion discs in the framework of the restricted three-body problem (R3Bp) and via numerically solving the height-integrated equations of viscous hydrodynamics. Varying the mass ratio of the binary, we find a…

High Energy Astrophysical Phenomena · Physics 2016-05-10 Daniel J. D'Orazio , Zoltan Haiman , Paul Duffell , Andrew I. MacFadyen , Brian D. Farris

Coalescences of binary white dwarfs represent a copious source of information for gravitational wave interferometers operating in the decihertz band. Moreover, according to the double degenerate scenario, they have been suggested to be…

High Energy Astrophysical Phenomena · Physics 2020-03-18 Andrea Maselli , Stefania Marassi , Marica Branchesi

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

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

In this paper, we investigate a system composed of two degenerate wave equations which are connected at one point. By introducing some inequalities on the weighted spaces and employing the frequency domain method, we prove that the system…

Analysis of PDEs · Mathematics 2026-04-08 Ya-nan Sun , Qiong Zhang

While there are a number of proposed formation channels for subsolar mass compact objects, including black holes formed primordially, or neutron stars that form in collapsar disks, there have yet to be any conclusive observations of such…

High Energy Astrophysical Phenomena · Physics 2026-03-27 Maxence Corman , William E. East , Jocelyn S. Read

We quantify the consistency of numerical-relativity black-hole-binary waveforms for use in gravitational-wave (GW) searches with current and planned ground-based detectors. We compare previously published results for the $(\ell=2,| m | =2)$…

We consider the 3-body problem in 3-dimensional spaces of nonzero constant Gaussian curvature and study the relationship between the masses of the Lagrangian relative equilibria, which are orbits that form a rigidly rotating equilateral…

Dynamical Systems · Mathematics 2016-03-11 Florin Diacu , Sergiu Popa

We investigate the gravitational radiation emitted by an isolated system for gravity theories with Lagrange density $f(R) = R + aR^2$. As a formal result we obtain leading order corrections to the quadrupole formula in General Relativity.…

General Relativity and Quantum Cosmology · Physics 2011-08-08 Joachim Näf , Philippe Jetzer

Three-body continuum states are investigated with the hyperspherical method on a Lagrange mesh. The $R$-matrix theory is used to treat the asymptotic behaviour of scattering wave functions. The formalism is developed for neutral as well as…

Nuclear Theory · Physics 2009-11-11 P. Descouvemont , E. M. Tursunov , D. Baye

We study the secular gravitational dynamics of quadruple systems consisting of a hierarchical triple system orbited by a fourth body. These systems can be decomposed into three binary systems with increasing semimajor axes, binaries A, B…

Solar and Stellar Astrophysics · Physics 2016-06-10 Adrian S. Hamers , Hagai B. Perets , Fabio Antonini , Simon F. Portegies Zwart

[Abridged] We introduce an improved version of the Eccentric, Non-spinning, Inspiral-Gaussian-process Merger Approximant (ENIGMA) waveform model. We find that this ready-to-use model can: (i) produce physically consistent signals when…

General Relativity and Quantum Cosmology · Physics 2021-04-15 Zhuo Chen , E. A. Huerta , Joseph Adamo , Roland Haas , Eamonn O'Shea , Prayush Kumar , Chris Moore

A large class of modified theories of gravity used as models for dark energy predict a propagation speed for gravitational waves which can differ from the speed of light. This difference of propagations speeds for photons and gravitons has…

General Relativity and Quantum Cosmology · Physics 2017-09-06 Hermano Velten , Jose Beltrán Jiménez , Federico Piazza