Simple Orbit Sim

This is a basic Python tool that lets you pick a object (like the ISS or a GPS satellite) and see how it orbits the Earth based on real physics.

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What you need

You need these two libraries installed:

• matplotlib (for the graph)
• PySimpleGUI (for the menu)

You can install them by typing this in your terminal: pip install matplotlib PySimpleGUI

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How to use it

1. Run the script.
2. Pick a satellite: Select one of the presets (Geostationary orbit, ISS, GPS Satellite or Starlink Satellite) or choose Custom to enter your starting altitude and velocity.
3. Click "Select": The math runs in the background.
4. See the orbit: A window will pop up showing the Earth (blue circle) and the path your object took.

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Technical Details

The simulation operates on the following principles:

• Gravitational Force: Calculated at every time step ($dt$) (default value for dt is 0.005) using: $$F = \frac{G \cdot m_1 \cdot m_2}{r^2}$$
• Integration: The script updates velocity and position iteratively to account for the changing direction of gravitational pull.
• Termination: The simulation ends if the satellite completes one full orbit, crashes into Earth, or reaches the maximum simulation time.