By Jean-Luc Boiffier
This quantity explores the idea and perform of flight dynamics. It units the correct equations for the overall case of a round rotating Earth, that is then evaluated by way of exam of the flat, mounted Earth. All equations are designed to resolve sensible problems the writer met in the course of his educating actions, which have been frequently the resource of mistakes and wasted time.
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Extra info for The Dynamics of Flight: Equations
Example text
Thus this vector derivative expressed or projected in this same frame is obtained. The notion of the derivation of a vector is meaningful only when associated with its derivation frame. Thus is an incomplete expression as it lacks the subscript for the derivation frame. 3) is suficient to establish the general equations. Moreover, it must be remembered that any vectorial relation can be projected o n any frame. The projection operation of a vectorial relation is, then, absolutely free of any constraint.
Headed for the Earth’s center A , half of the Earth’s “flattening” can be explained. The other half is due to the rotation of gravity towards the equator, under the influence of a new distribution of the masses. The geoid represents the average surface of the seas which is extended under the continents in such a way that each point is perpendicular to the direction of a plumbline. This geoid representing the Earth is similar to an revolution ellipsoid. In certain regions, the maximum variation between the two can be up to 100m of difference in a1t it ude .
2 Transformation from inertial frame FI to Normal Earthfixed frame FE The appendix which corresponds to this paragraph is (Section A . l , p. 195). 7, p. 3, p. 58). And t o is the stellar time of point 0. The term wto is sometimes called stellar time as well, even though it is homogenous t o an angle and not t o a time. The stellar time of point 0, w t o , is positive if 0 is to the west of the plane (XI,ZI). The latitude of point 0, L t o , is positive if 0 is in the northern hemisphere; a positive latitude is therefore a northern latitude.