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A new symplectic N-body integrator is introduced, one designed to calculate the global 360 degree evolution of a self-gravitating planetary ring that is in orbit about an oblate planet. This freely-available code is called epi_int, and it…

Earth and Planetary Astrophysics · Physics 2015-06-16 Joseph M. Hahn , Joseph N. Spitale

We have developed a new method for post-Newtonian, high-precision integration of stellar systems containing a super-massive black hole (SMBH), splitting the forces on a particle between a dominant central force and perturbations. We used…

Astrophysics · Physics 2008-04-11 Ulf Löckmann , Holger Baumgardt

We present preliminary results from self-consistent, high resolution direct {\it N}-body simulations of massive black hole binaries in mergers of galactic nuclei. The dynamics of the black hole binary includes the full Post-Newtonian…

Astrophysics · Physics 2011-07-19 Miguel Preto , Ingo Berentzen , Peter Berczik , David Merritt , Rainer Spurzem

We present direct N-body simulations, carried out with Nbody6++GPU, of young and compact low metallicity star clusters with $1.1\times 10^5$ stars, a velocity dispersion of $\sim$ 10 $\mathrm{km\,s^{-1}}$, a half mass radius $R_h=0.6$ pc,…

This paper focuses on the parallel implementation of a direct $N$-body method~(particle-particle algorithm) and the application of multiple GPUs for galactic dynamics simulations. Application of a hybrid OpenMP-CUDA technology is considered…

Computational Physics · Physics 2018-03-06 S. S. Khrapov , S. A. Khoperskov , A. V. Khoperskov

In this paper, we introduce PoMiN, a lightweight $N$-body code based on the post-Minkowskian $N$-body Hamiltonian of Ledvinka et. al., which includes general relativistic effects up to first order in Newton's constant $G$, and all orders in…

General Relativity and Quantum Cosmology · Physics 2018-07-25 Justin Feng , Mark Baumann , Bryton Hall , Joel Doss , Lucas Spencer , Richard Matzner

In this paper we present preliminary results from cosmological simulations of modified gravity in the dark matter sector. Our results show improvements over standard cold dark matter cosmology. The abundance of low-mass haloes in the…

Astrophysics · Physics 2008-07-08 Wojciech A. Hellwing

Black-hole-binary coalescence is often divided into three stages: inspiral, merger and ringdown. The post-Newtonian (PN) approximation treats the inspiral phase, black-hole perturbation (BHP) theory describes the ringdown, and the nonlinear…

General Relativity and Quantum Cosmology · Physics 2010-12-13 David A. Nichols , Yanbei Chen

We present a new time-stepping criterion for N-body simulations that is based on the true dynamical time of a particle. This allows us to follow the orbits of particles correctly in all environments since it has better adaptivity than…

Astrophysics · Physics 2009-10-12 Marcel Zemp , Joachim Stadel , Ben Moore , C. Marcella Carollo

This is the first in a series of papers devoted to fully general-relativistic $N$-body simulations applied to late-time cosmology. The purpose of this paper is to present the combination of a numerical relativity scheme, discretization…

Cosmology and Nongalactic Astrophysics · Physics 2019-10-29 David Daverio , Yves Dirian , Ermis Mitsou

We analytically compute, through the six-and-a-half post-Newtonian order, the second-order-in-eccentricity piece of the Detweiler-Barack-Sago gauge-invariant redshift function for a small mass in eccentric orbit around a Schwarzschild black…

General Relativity and Quantum Cosmology · Physics 2016-03-23 Donato Bini , Thibault Damour , Andrea Geralico

Simulating the evolution of the gravitational N-body problem becomes extremely computationally expensive as N increases since the problem complexity scales quadratically with the number of bodies. We study the use of Artificial Neural…

Earth and Planetary Astrophysics · Physics 2023-11-01 Veronica Saz Ulibarrena , Philipp Horn , Simon Portegies Zwart , Elena Sellentin , Barry Koren , Maxwell X. Cai

We present a new approach to describe the dynamics of an isolated, gravitationally bound astronomical $N$-body system in the weak field and slow-motion approximation of the general theory of relativity. Celestial bodies are described using…

General Relativity and Quantum Cosmology · Physics 2015-03-30 Slava G. Turyshev , Viktor T. Toth

Spin can influence the dynamics of the already chaotic black hole triplet system. We follow this problem in two sets of simulations: first, the Agekian-Anosova region (or region D), and second, using Pythagorean triangles. We use ARCcode,…

Astrophysics of Galaxies · Physics 2025-02-04 Ariel Chitan , Aleksandr Mylläri , Mauri Valtonen

We report the results of simulations of dense rotating stellar systems whose members suffer collisions and undergo stellar evolution processes. The initial configuration for each experiment is an isotropic Kuzmin-Kutuzov model. The…

Astrophysics · Physics 2007-05-23 John S. Arabadjis , Douglas O. Richstone

In this work, we study the stellar-dynamical hardening of unequal mass supermassive black hole (SMBH) binaries in the central regions of merging galactic nuclei. We present a comprehensive set of direct $N$-body simulations of the problem,…

Astrophysics of Galaxies · Physics 2022-09-14 Peter Berczik , Manuel Arca Sedda , Margaryta Sobolenko , Marina Ishchenko , Olexander Sobodar , Rainer Spurzem

We present results of N-body simulations aimed at understanding the dynamics of young stars near the Galactic center. Specifically, we model the inspiral of a cluster core containing an intermediate mass black hole and $N \sim 50$ cluster…

Astrophysics · Physics 2008-11-26 Steven J. Berukoff , Bradley M. S. Hansen

We present a new N-body and gas dynamics code, called Nyx, for large-scale cosmological simulations. Nyx follows the temporal evolution of a system of discrete dark matter particles gravitationally coupled to an inviscid ideal fluid in an…

Instrumentation and Methods for Astrophysics · Physics 2015-06-12 Ann Almgren , John Bell , Mike Lijewski , Zarija Lukić , Ethan Van Andel

We evolve for the first time in full general relativity a small, collisional N-body black hole cluster of arbitrary total mass M. The bound cluster is initially compact (radius R/M~10), stable, and consists of 25 equal-mass, nonspinning…

General Relativity and Quantum Cosmology · Physics 2025-07-23 Jamie Bamber , Stuart L. Shapiro , Milton Ruiz , Antonios Tsokaros

By using direct N-body numerical simulations, we model the dynamical co-evolution of two supermassive black holes (SMBHs) and the surrounding stars in merging galaxies. In order to investigate how different stellar components evolve during…

High Energy Astrophysical Phenomena · Physics 2023-02-22 Shuo Li , Shiyan Zhong , Peter Berczik , Rainer Spurzem , Xian Chen , F. K. Liu
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