By John H Blacelock

This is often by no means my favourite e-book on dynamics or regulate, yet everybody references it, so that you may still most likely have a duplicate of it if you are a major aeronautics assistance and regulate expert.

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**Example text**

1-40 and multiplying and dividing the fourth and sixth terms by c /2U, where c is the mean aerodynamic chord (see Appendix D), Eq. 1-46 becomes mU,u Sq _!!... iJFx,u _ ~ iJFx'a _ ~ (~) (2U) iJFx'li Sq iJu mg + Sq Sq iJa 2U Sq c iJli c ( 1 ) ( 2U ) iJFx. Fx -;- iJ8 8= S; =CF~. (cos8)8- 2U Sq (1-47) To show how Eq. 1-47 was nondimensionalized, the 'Ii term will be analyzed. First take 2U) iJ~x ( ~)( Sq c iJa As Fx and Sq both have the dimensions of a force (Ib), the units of these two terms cancel, leaving 2U / c and 1/ Ii.

U aF", 1 aF", -u---u----a Sq Sq au Sq aa @ 1 aF",. 1 aF" 1 aF". 8=Sq aa Sq a8 Sq a8 Sq (1-46) where F" is an applied aerodynamic force of unspecified origin to be explainedGin Section 1-7. pU 2 , the dynamic pressure in lb/sqft, and p is the air density: Substitut- t 22 LONGITUDINAL DYNAMICS ing for iJFx/iJ8 from Eq. 1-40 and multiplying and dividing the fourth and sixth terms by c /2U, where c is the mean aerodynamic chord (see Appendix D), Eq. 1-46 becomes mU,u Sq _!!... iJFx,u _ ~ iJFx'a _ ~ (~) (2U) iJFx'li Sq iJu mg + Sq Sq iJa 2U Sq c iJli c ( 1 ) ( 2U ) iJFx.

M t 16 LONGITUDINAL DYNAMICS earth axis: 'I' is the angle between OXE and the projection of the OX axis on the horizontal plane. ,p is a vector along OZE. 8 is the angle between the horizontal and the OX axis measured in the vertical plane. S is a vector along ON, the line of nodes. * is the angle between ON and the OY axis measured in the OYZ plane. Note that this plane is not necessarily vertical. cb is a vector along OX. Thus, the angles '1', 8, and specify the orientation of the aircraft axis system with respect to the earth. *