By John H Blacelock
This can be under no circumstances my favourite e-book on dynamics or regulate, yet every person references it, so that you should still most likely have a replica of it if you are a significant aeronautics advice and keep watch over expert.
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Extra resources for Automatic Control of Aircraft and Missiles
The remaining portion of the 'Ii term, which is (c/2U)'Ii, is also nondimensional. The remaining terms are handled in a similar manner. These nondimensional coefficients are referred to as "stability derivatives," and although there are several forms of these coefficients, the ones used in this text and listed in Table 1-1 are essentially the NACA standard longitudinal stability derivatives. All the terms in Table 1-1 are explained later in Section 1-7, except for CD and CL , which are discussed in Appendix D.
Thus ex. and ex are usually negligible and are neglected in the following pages~ The de;ivation of the equations for the rest of the stability derivatives follows. ex is the change in the force in the X direction due to a change in the forward velocity. The force in the X direction, when the aircraft is in equilibrium flight with Wo = 0, depends on the thrust and the drag. The thrust vector may not be aligned with the velocity vector of the aircraft, but the angle between these two vectors normally is small.
Sin cos (1-34a) 'I' = Q cos 8 + R cos 9 A similar transformation can be made for linear velocities. It should be noted that cb, S, and ,p are not orthogonal vectors. Equations 1-34a can be integrated with respect to time, and by knowing the initial conditions, 9, <1>, and 'I' can be determined; however, as the rates of change of these angles are a function of the angles themselves, this is best done on a computer. The components of the gravity force along the aircraft axes are along OY: -mgsin8 mg cos e sin OZ: mg cos 8 cos OX: (1-35) 17 LONGITUDINAL EQUATIONS OF MOTION 1-5 LINEARIZATION AND SEPARATION OF THE EQUATIONS OF MOTION A study of Eqs.