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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

The purpose of this article is numerical verification of the thory of weak turbulence. We performed numerical simulation of an ensemble of nonlinearly interacting free gravity waves (swell) by two different methods: solution of primordial…

Atmospheric and Oceanic Physics · Physics 2007-05-23 Alexander O. Korotkevich , Andrei N. Pushkarev , Don Resio , Vladimir E. Zakharov

One of the outstanding problems of classical celestial mechanics was the restricted 3-body prob- lem, in which a planetoid of small mass is subject to the Newtonian attraction of two celestial bodies of large mass, as it occurs, for…

General Relativity and Quantum Cosmology · Physics 2015-06-18 Emmanuele Battista , Giampiero Esposito

To improve our understanding of orbital instabilities in compact planetary systems, we compare suites of $N$-body simulations against numerical integrations of simplified dynamical models. We show that, surprisingly, dynamical models that…

Earth and Planetary Astrophysics · Physics 2024-07-31 Caleb Lammers , Sam Hadden , Norman Murray

We review our calculation method, Gaussian expansion method (GEM), and its applications to various few-body (3- to 5-body) systems such as 1) few-nucleon systems, 2) few-body structure of hypernuclei, 3) clustering structure of light nuclei…

Nuclear Theory · Physics 2018-09-14 Emiko Hiyama , Masayasu Kamimura

A way to probe alternative theories of gravitation is to study if they could account for the structures of the universe. We then modified the well-known Gadget-2 code to probe alternative theories of gravitation through galactic dynamics.…

Cosmology and Nongalactic Astrophysics · Physics 2012-04-25 C. S. S. Brandao , J. C. N. de Araujo

We study systems of bosons and fermions in finite periodic boxes and show how the existence and properties of few-body resonances can be extracted from studying the volume dependence of the calculated energy spectra. Using a…

Nuclear Theory · Physics 2018-10-03 P. Klos , S. König , H. -W. Hammer , J. E. Lynn , A. Schwenk

Many binary systems of interest for gravitational-wave astronomy are orbited by a third distant body, which can considerably alter their relativistic dynamics. Precision computations are needed to understand the interplay between…

General Relativity and Quantum Cosmology · Physics 2023-02-22 Adrien Kuntz , Francesco Serra , Enrico Trincherini

We propose a new treatment for the quantum three-body problem. It is based on an expansion of the wave function on harmonic oscillator functions with different sizes in the Jacobi coordinates. The matrix elements of the Hamiltonian can be…

Quantum Physics · Physics 2020-04-17 B. Silvestre-Brac , R. Bonnaz , C. Semay , F. Brau

Goal of the presented research is to construct simplified model of the core-halo structures in binary systems. Examples are provided by Thorne-Zytkov objects, hot Jupiters, protoplanets with large moons, red supergiants in binaries and…

Solar and Stellar Astrophysics · Physics 2016-09-02 A. Odrzywolek

This paper presents a fortran program to solve diverse few-body problems with the stochastic variational method. Depending on the available computational resources the program is applicable for $N=2-3-4-5-6-...$-body systems with $L=0$…

Nuclear Theory · Physics 2009-10-30 K. Varga , Y. Suzuki

Solitary zonal structures have recently been identified in gyrokinetic simulations of subcritical drift-wave (DW) turbulence with background shear flows. However, the nature of these structures has not been fully understood yet. Here, we…

Plasma Physics · Physics 2020-03-11 Yao Zhou , Hongxuan Zhu , I. Y. Dodin

We study gravitational waves from a hierarchical three-body system up to first-order postNewtonian approximation. Under certain conditions, the existence of a nearby third body can cause periodic exchange between eccentricity of an inner…

General Relativity and Quantum Cosmology · Physics 2020-05-27 Priti Gupta , Haruka Suzuki , Hirotada Okawa , Kei-ichi Maeda

The Kozai mechanism for a hierarchical triple system could reduce the merger time of inner eccentric binary emitting gravitational waves (GWs), and has been qualitatively explained with the secular theory that is derived by averaging…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-15 Naoki Seto

Lowest bound S-state energy of Coulomb three-body systems ($N^{Z+}\mu^-e^-$) having a positively charged nucleus of charge number Z ($N^{Z+}$), a negatively charged muon ($\mu^-$) and an electron ($e^-$), is investigated in the framework of…

Atomic and Molecular Clusters · Physics 2017-05-16 Md. A. Khan , M. Hasan

We describe the formalism to compute gravitational-wave observables for compact binaries via the effective field theory framework in combination with modern tools from collider physics. We put particular emphasis on solving the "multi-loop"…

High Energy Physics - Theory · Physics 2023-04-05 Christoph Dlapa , Gregor Kälin , Zhengwen Liu , Rafael A. Porto

We study the gravitational wave emission of three compact objects using post-Newtonian (PN) equations of motion derived from the Arnowitt-Deser-Misner Hamiltonian formulation, where we include (for the first time in this context) terms up…

General Relativity and Quantum Cosmology · Physics 2011-08-24 Pablo Galaviz , Bernd Bruegmann

Quantum few-body systems are deceptively simple. Indeed, with the notable exception of a few special cases, their associated Schrodinger equation cannot be solved analytically for more than two particles. One has to resort to approximation…

Computational Physics · Physics 2024-08-20 Paolo Recchia , Debabrota Basu , Mario Gattobigio , Christian Miniatura , Stéphane Bressan

We consider the two-body problem in post-Newtonian approximations of general relativity. We report the recent results concerning the equations of motion, and the associated Lagrangian formulation, of compact binary systems, at the third…

General Relativity and Quantum Cosmology · Physics 2015-06-25 Luc Blanchet

A numerical bootstrap method is proposed to provide rigorous and nontrivial bounds in general quantum many-body systems with locality. In particular, lower bounds on ground state energies of local lattice systems are obtained by imposing…

Strongly Correlated Electrons · Physics 2020-09-16 Xizhi Han