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I have a rocket flight simulator that takes in aerodynamic coefficients defined relative to the vehicle body frame axes (Cx, Cy, Cz). These are in a lookup table based on mach.

I have some aerodynamic coefficients that are given relative to the wind frame (Cd, Cl), also with a lookup based on mach, and I would like to input these into the simulator.

Is there a good way to convert the coefficients to the body frame so that they can be compatible with my simulator?

I know that I could modify the simulator code to make the transformation at runtime, but I was wondering if there is a way to do it where I could convert the coefficient lookup table itself.

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  • $\begingroup$ Does this answer your question? $\endgroup$
    – sophit
    Commented May 31, 2023 at 14:27

1 Answer 1

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All it takes is a 'little' trig. If you want more information than you need, check out AEDC-TR-63-224. To skip to the answer, look at eq 42:

screenshot of equation 42

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  • $\begingroup$ I considered this a case of LMGTFY and only pasted in the link to the technical paper that derives the equations, lays out the nomenclature, and explains everything. Ralph copy/pasted the final answer (the image with some letters) feeling that made the answer more complete. $\endgroup$ Commented May 30, 2023 at 16:05

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