Response to Simon Lizotte - Understanding Spin, Nose Angle & Trajectory

Response to Simon Lizotte about understanding spin, nose angle & trajectory.
Source about spin's effect on flight:
​"THE FLOW OVER A ROTATING DISC-WING"
by Jonathan R. Potts & William J. Crowther
Fluid Mechanics Research Group, School of Engineering, University of Manchester, UK
"Conclusions:
- Spin has a relatively small effect on the aerodynamic forces and moments.
- The lift and drag coefficients have been found to be independent of Reynolds number for the range of tunnel speeds tested.
The effect of spin on the lift, drag, pitching moment and rolling moment is shown in Fig 15 with curves of different advance ratios present-ed on each plot, for Re = 3.78×105. The lift and drag curves (Figs 15a,b) are identical for AdvR 0 to 1.04, which confirms that the lift and drag are unaffected by spin. The pitching moment and rolling moment curves in Figs 15c,d follow the same general trends, for the advance ratios presented. Figs 15e,f reveal more, the pitching moment curve for AdvR 0 is greater in magnitude, for the incidence range −5° to 10°, than for non-zero advance ratios. However the maximum deviation from the AdvR 0 curve, for any given angle of attack, is 0.007. In Fig 15f, the roll trends are linear for AdvR 0 to 0.35 showing approximately zero rolling moment for all incidences. For AdvR 0.69 & 1.04 the disc has a negative rolling coefficient, for -10° to 20° incidence, which increases in magnitude for greater AdvR. This is due to the Magnus rolling moment mentioned by Stilley and Carstens(Ref 1) caused by the spin. At higher incidence, 20°, the curves are independent of advance ratio."
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