Air Force Colors vol.1 1926-1942 by Dana Bell

By Dana Bell

Air strength colours vol.1 1926-1942 КНИГИ ;ВОЕННАЯ ИСТОРИЯ the united states military Air Corps' markings and camouflage. Bombers, opponents, transports, and running shoes. in line with laws, common orders, technical orders, and standards of the interval, and photographic facts. a few finishes have been to extend visibility, and others to diminish it. Black and white images and colour illustrations.Издательство: Squadron/Signal publicationsСерия: Squadron 6024Язык: английскийКоличество страниц: 96Формат: pdfРазмер: 42.10 Мб часть 1 часть 2 eighty five

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First we must characterize the relationship between two coordinate systems at some frozen instant in time. The instantaneous relationship between two coordinate systems will be addressed by determining a transformation that will take the representation of an arbitrary vector in one system and convert it to its representation in the other. Three approaches to finding the needed transformations will be presented. The first is called Direction Cosines, a sort of brute-force approach to the problem. Next we will discuss Euler angles, by far the most common approach but one with a potentially serious problem.

Clearly the relationships among the two sets of angles are non-trivial. ) and the decision as to which frame one goes from and which one goes to in that sequence (F1 to F2 or F2 to F1). We will normally define our Euler angles going in only one direction using a 321 rotation sequence, and rely on relationships like −1 T T1,2 = T2,1 = T2,1 to obtain the other. 4 Euler parameters The derivation of Euler parameters is given in Appendix C. Euler parameters are based on the observation that any two coordinate systems are instantaneously related by a single rotation about some axis that has the same representation in each system.

This coordinate system obviously rotates with the Earth. 1 Earth-centered reference frame. 2) has its origin fixed to an arbitrary point on the surface of the Earth (assumed to be a uniform sphere). xE points due north, yE points due east, and zE points toward the center of the Earth. 3) has its origin fixed to any arbitrary point that may be free to move relative to the Earth (assumed to be a uniform sphere). For example, the origin may be fixed to the center of gravity (CG) of an aircraft and move with the CG.

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