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In early Solar System numerical simulations, where chaos is a primary driver, it is difficult to explore parameter space in a systematic way. In such simulations, stable configurations are hard to come by, and often require special…

Earth and Planetary Astrophysics · Physics 2025-10-23 Arcelia Hermosillo Ruiz , Ruth Murray-Clay , Kathryn Volk , Rosemary Pike

This paper is aimed at improving the performance of the treecode algorithm for N-Body simulation by employing the NetSolve GridRPC programming model to exploit the use of multiple clusters. N-Body is a classical problem, and appears in many…

Distributed, Parallel, and Cluster Computing · Computer Science 2012-11-13 Truong Vinh Truong Duy , Katsuhiro Yamazaki , Shigeru Oyanagi

The N-body problem is a classic problem involving a system of N discrete bodies mutually interacting in a dynamical system. At any moment in time there are N*(N - 1)/2 such interactions occurring. This scaling as N^2 leads to computational…

Computational Engineering, Finance, and Science · Computer Science 2022-03-18 Alexander Brandt

Modeling of collisionless galactic systems is based on the N-body model, which requires large computational resources due to the long-range nature of gravitational forces. The most common method for calculating gravity is the TreeCode…

Computational Physics · Physics 2024-12-03 Nikolay M. Kuzmin , Danila S. Sirotin , Alexander V. Khoperskov

Aims: We study the impact of Post-Newtonian correction terms on the energetic interaction between a gravitational wave (GW)-emitting supermassive black hole (SMBH) binary system and incoming stars via three-body scattering experiments.…

Astrophysics of Galaxies · Physics 2021-09-20 Branislav Avramov , Peter Berczik , Andreas Just

Massive black-hole binaries (MBHBs) are thought to be the main source of gravitational waves (GWs) in the low-frequency domain surveyed by ongoing and forthcoming Pulsar Timing Array campaigns and future space-borne missions, such as {\it…

Astrophysics of Galaxies · Physics 2016-09-07 Matteo Bonetti , Francesco Haardt , Alberto Sesana , Enrico Barausse

The motion of a particle near the Reissner-Nordstrom black hole horizon is described by conformal mechanics. In this paper we present an extended one-dimensional analysis of the N=4 superconformal mechanics coupled to n copies of N=8, d=1…

High Energy Physics - Theory · Physics 2008-12-18 S. Bellucci , S. Krivonos , A. Shcherbakov , A. Sutulin

Motivated by experimental probes of general relativity, we adopt methods from perturbative (quantum) field theory to compute, up to certain integrals, the effective lagrangian for its n-body problem. Perturbation theory is performed about a…

General Relativity and Quantum Cosmology · Physics 2009-03-12 Yi-Zen Chu

Conventional approaches to incorporating general relativistic effects into the dynamics of N-body systems containing central black holes, or of hierarchical triple systems with a relativistic inner binary, may not be adequate when the goal…

Astrophysics of Galaxies · Physics 2016-04-07 Clifford M. Will

Future gravitational wave observatories can probe dark matter by detecting the dephasing in the waveform of binary black hole mergers induced by dark matter overdensities. Such a detection hinges on the accurate modelling of the dynamical…

General Relativity and Quantum Cosmology · Physics 2025-10-10 Bradley J. Kavanagh , Theophanes K. Karydas , Gianfranco Bertone , Pierfrancesco Di Cintio , Mario Pasquato

The gravitationally-driven evolution of cold dark matter dominates the formation of structure in the Universe over a wide range of length scales. While the longest scales can be treated by perturbation theory, a fully quantitative…

Astrophysics · Physics 2009-11-10 Katrin Heitmann , Paul M. Ricker , Michael S. Warren , Salman Habib

The evidence in favor of a dark energy component dominating the Universe, and driving its presently accelerated expansion, has progressively grown during the last decade of cosmological observations. If this dark energy is given by a…

Cosmology and Nongalactic Astrophysics · Physics 2009-11-05 Marco Baldi

We present a novel method for efficient direct integration of gravitational N-body systems with a large variation in characteristic time scales. The method is based on a recursive and adaptive partitioning of the system based on the…

Instrumentation and Methods for Astrophysics · Physics 2014-10-08 Jürgen Jänes , Federico I. Pelupessy , Simon F. Portegies Zwart

The stability of a galaxy model is most easily assessed through N-body simulation. Particle-mesh codes have been widely used for this purpose, since they enable the largest numbers of particles to be employed. We show that the functional…

Astrophysics · Physics 2009-10-28 David J. D. Earn , J. A. Sellwood

We describe an explicit in time, finite-difference code designed to simulate black holes by using the excision method. The code is based upon the harmonic formulation of the Einstein equations and incorporates several features regarding the…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Bela Szilagyi , Denis Pollney , Luciano Rezzolla , Jonathan Thornburg , Jeffrey Winicour

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 have developed a new numerical code to simulate the joint evolution of a massive black hole (MBH) and a surrounding stellar cluster at the center of a galaxy. The physics treated in the simulations include: 2-body relaxation, stellar…

Astrophysics · Physics 2007-05-23 Marc Freitag , Willy Benz

Aims: Investigate properties of a cluster of intermediate-mass black holes surrounding a supermassive black hole. Methods: We simulate clusters of equal-mass intermediate-mass black holes ($m_{\rm{IMBH}} = 10^{3}$ ${\rm{M_\odot}}$)…

Astrophysics of Galaxies · Physics 2024-05-22 Erwan Hochart , Simon Portegies Zwart

In a previous paper we introduced a new method for simulating collisional gravitational $N$-body systems with linear time scaling on $N$, based on the Multi-Particle Collision (MPC) approach. This allows us to simulate globular clusters…

Astrophysics of Galaxies · Physics 2022-03-04 Pierfrancesco Di Cintio , Mario Pasquato , Alicia Simon-Petit , Suk-Jin Yoon

Stellar systems are broadly divided into collisional and non-collisional. The latter are large-N systems with long relaxation timescales and can be simulated disregarding two-body interactions, while either computationally expensive direct…

Astrophysics of Galaxies · Physics 2021-05-05 Pierfrancesco Di Cintio , Mario Pasquato , Hyunwoo Kim , Suk-Jin Yoon