Hello John
I don't use algebraic formulas for these results, but two EXCEL spreadsheets that I designed.
- One to simulate rotors by entering their geometry (diameter, chord, pitch, drag coef) and forward speed, then adjusting the angles a1, b1, disk A.o.A and rpm to cancel the calculated moments (pitch, roll, and spin)
- The other one to calculate step by step the forward speed and the rrpm of the gyrocopter, taking into account the static thrust of the propeller, the supposed parasitic drag coefficient, the supposed rolling coefficient, then entering at each instantaneous speed obtained the values of drag and rotating torque obtained in the first spreadsheet.
This method is precise but too tedious for you.
Perhaps, I could however help you by calculating the case of the only gyro you are interested, and with no wind. Then you can simply use these results for each wind by the formula: distance with wind = distance without wind - (Wind speed* run duration)
A little less accurate, due to the parasitic drag error, but easier to you.
Let me little times for checker this possibility.
Launch 220 rpm with 8.5 m rotor ? Is not with the 8.26 m ? Engine power 100 HP ?