The Motion Toolkit is a collection of C++ class templates providing basic types for applications involving 3D geometry, kinematics and dynamics of systems composed of rigid bodies. The toolkit contains sample code for "Game Engine Gems 3" - Chapter 10. "Rotational Joint Limits in Quaternion Space".

No description available

A repository containing the code accompanying the research paper "Neuronal travelling waves explain rotational dynamics in experimental datasets and modelling" by Kuzmina E., Kriukov D., Lebedev M.

QuadSim: A Quadcopter Rotational Dynamics Simulation For Reinforcement Learning Algorithms

Code for creating recurrent neural network with rotational dynamics. Model is discussed in detail in "Rotational Dynamics Reduce Interference Between Sensory and Memory Representations" by Libby and Buschman.

Dynamics or quasi-static simulation of solid using finite element method and using different consti- tutive models such as linear elasticity, co-rotational linear elasticity,St. Venant-Kirchhoff model and Neohookean elasticity with tetrahedron mesh or hexahedron mesh.

Official Implementation for the ICCV 2025 Oral "Forecasting Continuous Non-Conservative Dynamical Systems in SO(3)"

Python scripts for simulating the Balanced Sequence Generator (BSG) introduced in the paper "Movement is governed by rotational neural dynamics in spinal motor networks". Henrik Lindén, Peter C. Petersen, Mikkel Vestergaard, Rune W. Berg, Nature 2022.

We identify a ferroelectric topological structure, termed "dipole spiral," which exhibits a giant intrinsic piezoelectric response (>320 pC/N). This helical structure, primarily stabilized by entropy and possessing a rotational zero-energy mode, unlocks new possibilities for exploring chiral phonon dynamics and dipolar DM-like interactions.

Star Planet Interaction Rotational and Orbital Integrator for Dynamics.

rotational dynamics of rigid bodies and more

Molecular dynamics simulations of the rotational motion of nanoparticles in electric fields

Efficient path planning for large electromagnetic cube swarms via simultaneous motion and rotational dynamics.

A simulator for whipper-style trebuchets using an approach of rotational dynamics

Simulate rigid body attitude control using python

Alternative cosmology based on rotational spacetime dynamics.

The objective of this project is to develop algorithms to compute geometric and mass-geometric characteristics (moments of inertia, volume, cross-sectional area) of hyperboloid-shaped spacecraft (single-sheet and double-sheet) for stabilizing rotational motion during Mars descent

Julia implementation of jPCA - a PCA variant that captures rotational dynamics

2D car engine on love2D framework. Key simulations: tire dynamics, rotational dynamics. Outcomes: drifting, oversteer, understeer

A modular C++ framework to simulate rigid-body rotational dynamics of a satellite using Euler’s equations.

This folder contains simulations for translational and rotational dynamics. It also contains python files for the hopper and gimbal test beds.

A unified research codebase for analyzing collective and individual motion dynamics in Daphnia magna, including displacement statistics, rotational behavior, and handedness bias.

Pytorch implementation of stable and switching neuronal model introduced in Rotational Dynamics Reduce Interference Between Sensory and Memory Representations by Alexandra Libby and Timothy J. Buschman

The study of the dynamics of such fine needle-like molecules as microtubules, microfilaments, and carbon nanotubes in solution has been a challenging area due to the anisotropy of the particles and the requirements for computer performance and algorithms. Past studies have presented the effective tube theory of rotational diffusion coefficients of needle-like particles in entangled solutions satisfying Langevin equations and asymptotic forms of center-of-mass translational diffusion coefficients in complex models. In this paper, a simplified model is obtained using an array of point-like obstacles instead of topological constraints on the target particles by other needle particles in solution. The model uses an event-driven simulation algorithm to obtain collision equations in the center-of-mass coordinate system of the fine needle molecules, and a collision time interval formulation is derived from the spherical particle collision model. After comparing the interval Newton method proposed by Moore and Hansen, Hansen's improved interval Newton method is chosen to solve the collision equation numerically, and the energy conservation law is used to update the collision parameters, along with the main code of the program and sample runs under different parameters. In terms of simulation experiments, this paper first obtains the expression form of the average collision coefficient and then the average collision rate of the system by regressing the experimental data. After that, the paper verifies the validity of the effective tube theory in the simplified model and obtains the asymptotic form of the rotational diffusion coefficient from both theoretical and experimental aspects. Finally, two asymptotic forms of the center-of-mass diffusion coefficient in diluted and entangled solutions are obtained experimentally in this paper, and the results are compared and analyzed with those obtained in other models.

Created with StackBlitz ⚡️

No description available

No description available

Rotational dynamics simulation and visualization desktop app

Numerical integration of the rotational dynamics of an asteroid during close approach to the Earth.

No description available