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We describe some results obtained with N-MODY, a code for N-body simulations of collisionless stellar systems in modified Newtonian dynamics (MOND). We found that a few fundamental dynamical processes are profoundly different in MOND and in…

Astrophysics · Physics 2015-05-13 Carlo Nipoti , Pasquale Londrillo , Luca Ciotti

Detailed observations of phenomena involving black holes, be it via gravitational waves or more traditional electromagnetic means, can probe the strong field regime of the gravitational interaction. The prediction of features in such…

General Relativity and Quantum Cosmology · Physics 2020-02-19 Andrew Sullivan , Nicolás Yunes , Thomas P. Sotiriou

We address the dynamical evolution of an isolated self--gravitating system with two stellar mass groups. We vary the individual ratio of the heavy to light bodies, $\mu$ from 1.25 to 50 and alter also the fraction of the total heavy mass…

Astrophysics · Physics 2008-11-26 Emil Khalisi , Pau Amaro-Seoane , Rainer Spurzem

We describe the implementation of a new module which can be used to simulate physical systems in which the motion of particles is affected by stochastic forces. Such forces are expected to be present in turbulent circumstellar disks or…

Earth and Planetary Astrophysics · Physics 2022-05-16 Hanno Rein , Nick Choksi

The gravitational $N$-body problem is a nearly universal problem in astrophysics which, despite its deceptive simplicity, still presents a significant computational challenge. For collisional systems such as dense star clusters, the need to…

Astrophysics of Galaxies · Physics 2025-12-03 Kerwann Tep , Brian T. Cook , Carl L. Rodriguez , Jiya Jolly , Eddie Sawin , Michael S. Petersen , Christoph Gaffud

We use a hybrid N-body program to study the evolution of massive black hole binaries in the centers of galaxies, mainly to understand the factors affecting the binary eccentricity, the response of the galaxy to the binary merger, and the…

Astrophysics · Physics 2009-10-30 Gerald D. Quinlan , Lars Hernquist

Since its first formulation in 1983, Milgromian dynamics (MOND) has been very successful in predicting the gravitational potential of galaxies from the distribution of baryons alone, including general scaling relations and detailed rotation…

Astrophysics of Galaxies · Physics 2015-06-19 Fabian Lüghausen , Benoit Famaey , Pavel Kroupa

N-body codes to perform simulations of the origin and evolution of the Large Scale Structure of the Universe have improved significantly over the past decade both in terms of the resolution achieved and of reduction of the CPU time.…

Astrophysics · Physics 2009-10-31 U. Becciani , V. Antonuccio-Delogu , M. Gambera

One of the computational challenges of cluster formation simulations is resolving individual stars and simulating massive clusters with masses of more than $10^4 M_{\odot}$ without gravitational softening. Combining direct $N$-body code…

Astrophysics of Galaxies · Physics 2021-07-07 Michiko S. Fujii , Takayuki R. Saitoh , Yutaka Hirai , Long Wang

When fitting N-body models to astronomical data - including transit times, radial velocity, and astrometric positions at observed times - the derivatives of the model outputs with respect to the initial conditions can help with model…

Earth and Planetary Astrophysics · Physics 2021-09-01 Eric Agol , David M. Hernandez , Zachary Langford

We describe an algorithm for constructing N-body realisations of equilibrium stellar systems. The algorithm complements existing orbit-based modelling techniques using linear programming or other optimization algorithms. The equilibria are…

Astrophysics · Physics 2015-06-24 D. Syer , S. Tremaine

We present a new numerical code that evolves a spherically symmetric configuration of collisionless matter in the Brans-Dicke theory of gravitation. In this theory the spacetime is dynamical even in spherical symmetry, where it can contain…

General Relativity and Quantum Cosmology · Physics 2009-10-22 Mark A. Scheel , Stuart L. Shapiro , Saul A. Teukolsky

In this paper, we continue our study of the motion of spinning test bodies orbiting Kerr black holes. Non-spinning test bodies follow geodesics of the spacetime in which they move. A test body's spin couples to the curvature of that…

General Relativity and Quantum Cosmology · Physics 2022-07-13 Lisa V. Drummond , Scott A. Hughes

This paper describes a fourth-order integration algorithm for the gravitational N-body problem based on discrete Lagrangian mechanics. When used with shared timesteps, the algorithm is momentum conserving and symplectic. We generalize the…

Astrophysics · Physics 2010-11-11 Will M. Farr , Edmund Bertschinger

The tidal breakup of binary star systems by the supermassive black hole (SMBH) in the center of the galaxy has been suggested as the source of both the observed sample of hypervelocity stars (HVSs) in the halo of the Galaxy and the S-stars…

Astrophysics of Galaxies · Physics 2014-11-20 Fabio Antonini , Joshua Faber , Alessia Gualandris , David Merritt

We study the accumulation of errors in cosmological N-body algorithms that are caused by representing the continuous distribution of matter by massive particles, comparing the PPPM and Adaptive Multigrid codes. We use for this a new measure…

Astrophysics · Physics 2007-05-23 Ivar Suisalu , Enn Saar

We present the results of gravitational direct $N$-body simulations using the Graphics Processing Unit (GPU) on a commercial NVIDIA GeForce 8800GTX designed for gaming computers. The force evaluation of the $N$-body problem is implemented…

Astrophysics · Physics 2008-11-26 Robert G. Belleman , Jeroen Bedorf , Simon Portegies Zwart

We carry out several isolated galaxy evolution simulations in a fixed dark matter halo gravitational potential using the new version of our N-body/Smoothed Particle Hydrodynamics (SPH) code GCD+. The new code allows us to more accurately…

Astrophysics of Galaxies · Physics 2015-06-03 Awat Rahimi , Daisuke Kawata

We present a hybrid technique of N-body simulation to deal with collisionless stellar systems having an inhomogeneous global structure. We combine a treecode and a self-consistent field code such that each of the codes model a different…

Astrophysics · Physics 2009-10-30 S. Vine , S. Sigurdsson

We implement an adaptation of the COLA approach, a hybrid scheme that combines Lagrangian perturbation theory with an N-body approach, to model non-linear collapse in chameleon and symmetron modified gravity models. Gravitational screening…

Cosmology and Nongalactic Astrophysics · Physics 2017-05-30 Georgios Valogiannis , Rachel Bean