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Description
I have figured out through some testing that all aircraft have what im calling a turn constant. This constant is what can tell you the aircrafts turn rate in deg/sec given groundspeed in kts. And after doing a some regression to figure out the behavior of turning given diffrent groundspeeds, and a little basic algebra, the equation for this constant is simply the aircrafts turn rate with the autopilot times the groundspeed. This will give you the same constant at any groundspeed as the turn rate changes in proportion to gs. 200kts seams to be a good refrence for most aircraft.
Why is this important? Well since aircraft need to predict their turns ahead of time, the best way is to know exactly how much distance the aircraft travels in its turn. This is done by knowing the linear speed and the angular speed. In this case, ground speed and turn rate. Ground speed can be measured directly, but turn rate cannot until you are in a turn. And it changes based on how fast you are going. However, with this turn constant inputed, it can predict the turn rate ahead of time. And since its groundspeed based, itll nativly account for wind and altitude effects.
I will add a box so that this number can be inputed manually, and maybe a way for the program to test itself and figure out the constant for you. I have found that the CRJ-200 is around 370 and the TBM-930 is around 400.
Here is my desmos graph showing the math. https://www.desmos.com/calculator/mqgboyibv9