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.
