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. Dimensional Stability Derivatives
We now need expressions for the derivatives that appear in (4.9,18) and (4.9,19) in terms of the nondimensional derivatives. A few examples of these are derived as follows to illustrate the procedure, and the whole set needed for (4.9,17) is displayed in Tables 4.4 and 4.5. Derivatives with respect to v or /3 are usually negligible and are not included.
THE Z DERIVATIVES
THE M DERIVATIVES
These are also found in a manner similar to the Z derivatives. In this case we start with M = CmpV2Sc and note from (4.9,6) that Cmo = 0.
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and aerodynamic details. Enough material is given, however, to show how the static and dynamic deformations are integrated into the preceding mathematical model of the “gross” vehicle motion.
The deformation analysis is almost invariably treated by a linear theory, even when the rigid-body motion is not. We shall therefore assume at the outset that the distortional motions are “small” and that all the associated aerodynamic forces are linear functions.
