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Simulating gravity turn profiles repeatedly


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Is there a way to mathematically simulate many, many gravity turn profiles to find an optimal one for a given rocket? I want to find a way to automate launches in kOS such that it adjusts the flight profile for the specific vehicle.

Given a thrust to weight ratio, I want to find the optimal vertical speed at which I should pitch over by 5 degrees.

Edited by MAFman
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Although you are asking about this for the game, the math involved is going to be mostly real-world equations with game numbers plugged into them. And so I have moved your thread to the spot the math-enamored people hang around. :) Good luck with your project. 

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