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An accurate and efficient method dealing with the few-body dynamics is important for simulating collisional N-body systems like star clusters and to follow the formation and evolution of compact binaries. We describe such a method which…

Earth and Planetary Astrophysics · Physics 2020-02-21 Long Wang , Keigo Nitadori , Junichiro Makino

We implement coordinates suitable for studying wide binary systems in TRACE, a hybrid integrator in the widely used open-source N-body integration package REBOUND. This is a regime in which traditional hybrid integrators perform poorly. The…

Earth and Planetary Astrophysics · Physics 2026-05-05 Tiger Lu , Garett Brown

We investigate planetesimal accretion via a direct N-body simulation of an annulus at 1 AU orbiting a 1 $M_{\odot}$ star. The planetesimal ring, which initially contains N = $10^6$ bodies is evolved into the oligarchic growth phase. Unlike…

Earth and Planetary Astrophysics · Physics 2019-09-04 Spencer Wallace , Thomas Quinn

Large-scale cosmological simulations are an indispensable tool for modern cosmology. To enable model-space exploration, fast and accurate predictions are critical. In this paper, we show that the performance of such simulations can be…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-08 Florian List , Oliver Hahn

In this work we produce a classical Lagrangian description of an elementary spinning particle which satisfies Dirac equation when quantized. We call this particle a classical Dirac particle. We analyze in detail the way we arrive to this…

Classical Physics · Physics 2025-10-21 Juan Barandiaran , Martin Rivas

Modelling the cosmic large-scale structure can be done through numerical N-body simulations or by using perturbation theory. Here, we present an N-body approach that effectively implements a multi-step forward model based on Lagrangian…

Cosmology and Nongalactic Astrophysics · Physics 2025-02-13 Cornelius Rampf , Florian List , Oliver Hahn

Modeling interacting galaxies to reproduce observed systems is still a challenge due to the extended parameter space (among other problems). Orbit and basic galaxy parameters can be tackled by fast simulation techniques like the restricted…

Astrophysics · Physics 2009-11-13 Hanns P. Petsch , Christian Theis

We introduce our new code, SMERCURY-T, which is based on existing codes SMERCURY (Lissauer et al. 2012) and Mercury-T (Bolmont et al. 2015). The result is a mixed-variable symplectic N-body integrator that can compute the orbital and spin…

Earth and Planetary Astrophysics · Physics 2021-09-09 Steven M. Kreyche , Jason W. Barnes , Billy L. Quarles , John E. Chambers

Automated analysis of articulated bodies is crucial in medical imaging. Existing surface-based models often ignore internal volumetric structures and rely on deformation methods that lack anatomical consistency guarantees. To address this…

Computer Vision and Pattern Recognition · Computer Science 2026-03-04 Yingcheng Liu , Athena Taymourtash , Yang Liu , Esra Abaci Turk , William M. Wells , Leo Joskowicz , P. Ellen Grant , Polina Golland

We explore a hybrid expansion of the disturbing function in planetary dynamics that combines elements of the classical Laplace and Legendre developments. This formulation retains the structure of the Laplace expansion, but expresses the…

Earth and Planetary Astrophysics · Physics 2026-03-18 Aya Alnajjarine , Jacques Laskar , Federico Mogavero

The wear volume is known to keep increasing during frictional processes, and Archard notably proposed a model to describe the probability of wear particle formation upon asperity collision in a two-body contact configuration. While this…

Soft Condensed Matter · Physics 2020-03-13 Enrico Milanese , Jean-François Molinari

We introduce a numerical method to integrate tidal effects on collisional systems, using any definition of the external potential as a function of space and time. Rather than using a linearisation of the tidal field, this new method follows…

Astrophysics of Galaxies · Physics 2015-06-23 Florent Renaud , Mark Gieles

Novel method for semi-analytical solving of equations of a trapped dynamics for a planetoid m4 close to the plane of mutual motion of main bodies around each other (in case of a special type of Bi-Elliptic Restricted 4-Bodies Problem) is…

General Physics · Physics 2023-07-19 Sergey V. Ershkov , Dmytro Leshchenko , Alla Rachinskaya

We present a new C++ code for collisional N-body simulations of star clusters. The code uses the Hermite fourth-order scheme with block time steps, for advancing the particles in time, while the forces and neighboring particles are computed…

Instrumentation and Methods for Astrophysics · Physics 2010-11-08 Simos Konstantinidis , Kostas D. Kokkotas

The Mars Curiosity rover carries an instrument, ChemCam, designed to measure the composition of surface rocks and soil using laser-induced breakdown spectroscopy (LIBS). The measured spectra from this instrument must be analyzed to identify…

Applications · Statistics 2020-08-13 Claire-Alice Hébert , Earl Lawrence , Kary Myers , James P. Colgan , Elizabeth J. Judge

Physical systems are commonly represented as a combination of particles, the individual dynamics of which govern the system dynamics. However, traditional approaches require the knowledge of several abstract quantities such as the energy or…

Machine Learning · Computer Science 2022-09-07 Ravinder Bhattoo , Sayan Ranu , N. M. Anoop Krishnan

GANDALF is a new hydrodynamics and N-body dynamics code designed for investigating planet formation, star formation and star cluster problems. GANDALF is written in C++, parallelised with both OpenMP and MPI and contains a python library…

Instrumentation and Methods for Astrophysics · Physics 2017-11-08 David A. Hubber , Giovanni P. Rosotti , Richard A. Booth

Context. Abridged. Many stars are members of binary systems. During early phases when the stars are surrounded by discs, the binary orbit and disc midplane may be mutually inclined. The discs around T Tauri stars will become mildly warped…

Earth and Planetary Astrophysics · Physics 2011-04-11 M. M. Fragner , R. P. Nelson , W. Kley

We derive a new criterion for estimating characteristic dynamical timescales in N-body simulations. The criterion uses the second, third, and fourth derivatives of particle positions: acceleration, jerk, and snap. It can be used for…

Earth and Planetary Astrophysics · Physics 2024-01-09 Dang Pham , Hanno Rein , David S. Spiegel

Particle-in-cell codes are the most widely used simulation tools for kinetic studies of ultra-intense laser-plasma interactions. Using the motion of a single electron in a plane electromagnetic wave as a benchmark problem, we show…

Plasma Physics · Physics 2021-04-07 Kavin Tangtartharakul , Guangye Chen , Alexey Arefiev