2008Hangkong bingqiRequires access

The Method of Deducing Direction-cosine Matrix Using Piosymbolic

Zhang Yongjun

Open publisher page 0 citations

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.

About this research paper

What this paper is about

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.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available 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.

Key concepts: Direction cosine, Trigonometric functions, Matrix (chemical analysis), Cartesian coordinate system, Transformation matrix, Flow chart, Transformation (genetics), Mathematics

Related papers

Back to paper searchBrowse research topicsOriginal source
The Method of Deducing Direction-cosine Matrix Using Piosymbolic — Research Paper | ScholarLens