Projectile Motion Simulation

This project uses Django and Docker to display a simulation of an inclined projectile motion with air resistance in a web application.

Overview

The simulation calculates the trajectory of a projectile under the influence of gravity and air resistance. It solves the following differential equation: $$m\ddot{\vec{r}} = \vec{F}_G + \vec{F}_D$$ where the gravitational force $\vec{F}_G$ is given by

$$\vec{F}_G = m\begin{pmatrix}0 \\ -g\end{pmatrix}$$

and the air drag force $\vec{F}_D$ is given by

$$\vec{F}_D = -\frac{1}{2} c_F \left|\vec{v}\right| \begin{pmatrix}v_x \\v_y\end{pmatrix}.$$

Features

• Simulation of projectile motion with adjustable initial conditions
• Realistic modeling of air resistance
• Interactive web interface to visualize the trajectory
• Easy setup with Docker

Prerequisites

• Python version 3.10.12
• Docker

Setup

1. Clone the repository:

   git clone https://github.com/51moon/projectile_motion.git
   cd projectile_motion

2. Create and activate a virtual environment:

   python -m venv .venv
   source .venv/bin/activate

3. Build the Docker image:

   docker build -t projectile_motion .

4. Run the Docker container:

   docker run -it -p 8080:8080 projectile_motion

Now you can access the development server at http://0.0.0.0:8080.

Preview