The Method of Deducing Direction-cosine Matrix Using Piosymbolic
Zhang Yongjun
Abstract
Zhang Yongjun
Abstract
Pio-symbolic method is applied to transform coordinate similarly to signal flow chart,it describes the form of directions relation between cartesian coordinate systems essentially,offers convenience for designing navigation algorithm for aircraft.This paper introduces the matrix-by-matrix method that is usually used to deduce direction-cosine matrix and the instances of deducing direction-cosine matrix by Pio-symbolic method,summarizes the drawing method of pio-symbolic chart and the rule writing the expressions of direction-cosine matrix directly by pio-symbolic method.Ginally the flexibleness of the method in deducing direction-cosine matrix is described by some examples of common coordinate transformation.
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Pio-symbolic method is applied to transform coordinate similarly to signal flow chart,it describes the form of directions relation between cartesian coordinate systems essentially,offers convenience for designing navigation algorithm for aircraft.This paper introduces the matrix-by-matrix method that is usually used to deduce direction-cosine matrix and the instances of deducing direction-cosine matrix by Pio-symbolic method,summarizes the drawing method of pio-symbolic chart and the rule writing the expressions of direction-cosine matrix directly by pio-symbolic method.Ginally the flexibleness of the method in deducing direction-cosine matrix is described by some examples of common coordinate transformation.
Key concepts: Direction cosine, Trigonometric functions, Matrix (chemical analysis), Cartesian coordinate system, Transformation matrix, Flow chart, Transformation (genetics), Mathematics