What Math and Physics Should I Learn to Program a Vehicle Dynamics Simulator?

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To program a vehicle dynamics simulator, a solid understanding of math and physics is essential, particularly in areas such as integration, vectors, matrices, and differential equations. Knowledge of mechanics is crucial, as it involves complex concepts like suspension systems and cornering stiffness. The task requires not only theoretical knowledge but also practical intuition and experience in transient analysis. Collaborating with experienced mechanical or automotive engineers can significantly enhance the development process. A comprehensive approach to learning and collaboration is vital for success in this challenging field.
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I'm a CS student interested in learning vehicle dynamics to program a simulator (like iRacing for example). I know this is a difficult task but I am willing to take the long road. So I am asking here, what math and physics subjects should I go through to make this happen? I guess it's probably the same as with every other kind of mechanical simulation. So far I've understood that I need to know integration, vectors, matrices, differential equations mechanics. Anything else I should definitely add to this?
 
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Sir or Maam, I respect your programming skills, I have an A.S. in CS myself, but your knowledge is not enough in the area of physics, mechanics, and mathematics... As a mechanical engineer now pursuing post-grad work, I can tell you that it requires more book learning and transient analysis than you may be prepared for! There is a large amount of intuition and experience to truly write a cohesive program to simulate the dynamic characteristics for a vehicle. Suspension systems, cornering stiffnesses, effects over time on turns, braking... this list is technically exhaustive and the concepts complicated. My suggestion is that you collaborate with more than one experienced mechanical engineer/automotive engineer on this project. Take care!
 
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