jasperswallen / eulers-3bp

Modeling Dynamics of Euler's Three Body Problem

Modeling Dynamics of Euler's Three Body Problem

How to run

Prereqs

1. Clone the repo
2. Install Python 3 and optionally Jupyter Notebook (pip install notebook or conda install -C conda-force notebook).
3. Install matplotlib, numpy, and (if using Jupyter Notebook) ipywidgets with conda or pip.

Jupyter Notebook

Note: unforunately, GitHub does not have built in support for ipywidgets, so you will need to run it locally.

1. If you have jupyter notebook installed, run jupyter notebook main.ipynb. Alternatively, use an IDE to run main.ipynb (for example, in Visual Studio Code, if you have the Python extension installed, a Jupyter Notebook kernel will automatically be started when you open the file).
2. Run all the cells in order
3. Change the inputs of the interact widgets (they are in the order of Euler's Method, Runge-Kutta, and Forest & Neri)
4. Click "Run Interact"

Each method is given its own graph. The color scale indicates the time dimension of the particle (lighter is earlier, darker is later).

Standard Python

1. Run python3 main.py
2. Select your inputs and initial conditions

All three numerical methods will be displayed on the same graph

General Notes

• Higher δt results in more accurate graphs but requires more iterations (and thus is slower)
• Euler's Method is the least accurate by far, but also the fastest