A sophisticated guide and computational framework for architecting numerical simulators to solve the chaotic three-body gravitational problem.
Install & Download
1. ClawHub CLI
The fastest way to install a skill directly from the registry.
npx clawhub@latest install 3
2. Manual Installation
Copy the skill folder to one of these locations
~/.openclaw/skills/ <project>/skills/ Priority: Workspace > Local > Bundled
3. Prompt Installation
Copy this prompt to OpenClaw to install it automatically.
Help me install 3 using Clawhub. If Clawhub is not installed, install it first (npm i -g clawhub).
Prefer to download?
Get the raw skill files in a ZIP archive.
What is 3-Body Movement Simulator?
The 3-Body Movement Simulator is a specialized technical resource designed to bridge the gap between theoretical astrophysics and practical computational modeling. This skill provides the architectural blueprint for simulating the complex gravitational interactions of three celestial bodies, a problem famously known for its chaotic nature and lack of a general analytical solution.
By leveraging the power of Openclaw Skills, developers can implement high-precision numerical solvers that transform Newton's Law of Universal Gravitation into interactive visual models. The skill focuses on balancing computational efficiency with physical accuracy, ensuring that simulations remain stable and physically plausible even over long durations.
3-Body Movement Simulator Use Cases
- Simulating stable periodic orbits like the figure-8 configuration for astrophysical research.
- Visualizing chaotic motion and sensitivity to initial conditions in multi-body systems.
- Educational demonstrations of orbital mechanics and Newtonian gravity in computational physics courses.
- Stress-testing numerical integration algorithms against high-entropy gravitational systems.
How 3-Body Movement Simulator Works
- System State Definition: The simulator initializes a 18-element state vector representing the 3D position and velocity of all three bodies.
- Derivative Calculation: A physics engine calculates the instantaneous gravitational force exerted on each body using Newton's law of universal gravitation.
- Acceleration Mapping: Forces are converted to acceleration vectors (F=ma) to determine the rate of change for velocities.
- Numerical Integration: The system employs the Runge-Kutta 4th Order (RK4) method to advance the state vector through small time steps (dt).
- Trajectory Logging: The resulting positions are stored in a trajectory array for sequential analysis or visual plotting.
3-Body Movement Simulator Setup
To get started with the 3-Body Movement Simulator provided by Openclaw Skills, ensure you have a Python environment ready with the necessary numerical libraries.
# Install required dependencies
pip install numpy matplotlib
# Clone the skill repository
git clone https://github.com/openclaw/3-body-simulator.git
cd 3-body-simulator
3-Body Movement Simulator Data Schema & Taxonomy
The simulator organizes data using a structured vector approach to ensure compatibility with high-performance computing libraries.
| Component | Type | Description |
|---|---|---|
| State Vector | np.array (18,) | Combined [x, y, z, vx, vy, vz] for three bodies |
| Masses | List[float] | Array of m1, m2, and m3 values |
| Trajectory | np.array (N, 18) | Time-series history of all state vectors |
| G | Float | The gravitational constant (6.67430e-11) |
3-Body Movement Simulator Advanced Features
- RK4 Integration: Utilizes the 4th order Runge-Kutta method to maintain energy conservation and prevent orbital drift common in simpler Euler-based models.
- Dimensionless Scaling: Support for simplified unit systems to test periodic solutions and theoretical mathematical proofs.
- Energy Monitoring: Hooks available to calculate kinetic and potential energy at every step to verify simulation integrity.
- Matplotlib Integration: Pre-configured hooks for generating 2D and 3D orbital visualizations of the chaotic paths.
SKILL.md
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