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It is almost a year passed by and finally someone researched this question in my desired degree of details :) Thank you! The explanation gave me a good understanding what questions a designer of adiru is confronted. Most epic is your python solution because this is exactly what I had to do on some crappy way X)
Maybe one of the computers with displays shows for maintenance purposes raw static pressure value? So the technician can check pressure against some value in the ground test equipment?
My question is still EAS = f(CAS). How to accomplish this? How does ADIRU calculate all the speeds if it has only pressures from pitot tube and Temperature? Other thing, what you have mentioned is only summarize of all knowledge about air characteristics and using pitot tube. What I need for example is, where does the formula for CAS come from? What are the roots with all physical relations? Is there no author who can explain things about air data holistically?