Open AccessDerivative of Spatial Variables in Orthogonal Curvilinear System with Respect to the Ones in Cartesian Coordinate System
Author(s) -
Peng Zhang,
Zhang Cun-feng,
Wen-wei Su
Publication year - 2022
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/2187/1/012039
Subject(s) - curvilinear coordinates , cartesian coordinate system , orthogonal coordinates , coordinate system , elliptic coordinate system , ellipsoidal coordinates , spherical coordinate system , bipolar coordinates , parabolic coordinates , mathematics , coordinate space , orthogonal transformation , mathematical analysis , geometry , log polar coordinates
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.