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I checked control surface sizing and actuator selection having some estimates, but are largely meant for subsonic flight adhering to FAR regulations which dictate the maximum loads and flight conditions. I would like a mach relation but for a basic calculation or knowledge, let's have the loads at mach 1-1.2.Supersonic control is quite different and I've searched quite a bit, but I'm unable to model and determine the loads on such surfaces or how the hinge moments can be determined if one knows the area and size of the control surface for super sonic aircraft. Any help would be appreciated, and please link related questions and sources for such content in the comments and/or in your answers. Thank you.

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