Planetary System Simulation 🪐🚀

Welcome to the Planetary System Simulation project! This web application allows you to simulate the trajectories of two planets in a gravitational system.

Features

🌌 Simulation Form: Enter the masses, initial positions, and velocities of two planets.
📈 Trajectory Prediction: Calculate the predicted trajectories based on your input.
🎥 Live Simulation: View the trajectories interactively with Plotly.

Technologies Used

🖥️ Python: Backend powered by Flask.
🔢 NumPy: For numerical computations and array handling.
📊 Plotly: To create interactive visualizations of the trajectories.
🌐 HTML/CSS: For the frontend user interface.

Getting Started

To run this project locally:

1. 🚀 Clone the repository to your local machine.
2. 📦 Install the required dependencies: pip install -r requirements.txt
3. 🖥️ Start the Flask application: python app.py
4. 🌐 Open your web browser and navigate to http://localhost:5000

How to Use

1. 📝 Enter the masses, initial positions, and velocities of the two planets in the provided form.
2. 🔮 Click "Predict Trajectory" to simulate and visualize the paths of the planets.
3. 🌠 Use the interactive plot to observe the planetary movements.
4. 🎬 Optionally, click "Show Live Simulation" for a dynamic visualization of the trajectories.

Contributing

We welcome contributions! If you have suggestions, bug reports, or feature requests, please open an issue or submit a pull request.

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👨‍💻 Happy simulating! 👩‍💻