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I talked to my teacher about this, and he said that I would have to use differential equations (I don't know about it) to make it, but I found a video online that simulates it, but doesn't seem to use differential equation. This is the video. https://www.youtube.com/watch?v=7axImc1sxa0 and this is the code https://github.com/SebLague/Solar-System/tree/Episode_01. You can go to Assets/Scripts to find the code that simulates it. Does this code use differential equations? or is there any other way to simlulate it?
I also have a solar system simulator, it used at first velocity Verlet, then I switched to Verlet since I really didn't need the velocity in it: https://github.com/aromanro/SolarSystem