Derivative of unit basic vectors in orthogonal curvilinear coordinate system
Sun Shu-sheng
Abstract
Sun Shu-sheng
Abstract
Though the transformation matrix between the unit basic vector in deferent orthogonal curvilinear coordinate system,we deduce the law of the unit basic vectors derivative of their own coordinates and the time in the orthogonal curvilinear coordinate system.As an example,the derivation of the unit basic vectors self space coordinate in the spherical coordinate system and the cylindrical coordinates system is also discussed.
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Though the transformation matrix between the unit basic vector in deferent orthogonal curvilinear coordinate system,we deduce the law of the unit basic vectors derivative of their own coordinates and the time in the orthogonal curvilinear coordinate system.As an example,the derivation of the unit basic vectors self space coordinate in the spherical coordinate system and the cylindrical coordinates system is also discussed.
Key concepts: Curvilinear coordinates, Coordinate system, Ellipsoidal coordinates, Orthogonal coordinates, Coordinate space, Elliptic coordinate system, Parabolic coordinates, Spherical coordinate system