2022•Journal of Physics Conference SeriesOpen access

Derivative of Spatial Variables in Orthogonal Curvilinear System with Respect to the Ones in Cartesian Coordinate System

Peng Zhang, Cunfeng Zhang, Wen-wei Su

Abstract

Abstract Based on the transformation of the spatial variables between the orthogonal curvilinear coordinate system and the Cartesian coordinate system, the derivation of spatial variables in orthogonal curvilinear system to the ones in Cartesian coordinate system is derived. The derivatives of the spatial variables in cylindrical, spherical, and elliptic cylindrical coordinate system are derived respectively.

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Available abstract

Key concepts: Curvilinear coordinates, Cartesian coordinate system, Orthogonal coordinates, Coordinate system, Elliptic coordinate system, Ellipsoidal coordinates, Spherical coordinate system, Bipolar coordinates