Ellipsoidal Coordinate ("z" cartesian coordinate)


Ellipsoidal coordinates are a three-dimensional orthogonal coordinate system that generalizes the two-dimensional elliptic coordinate system. Unlike most three-dimensional orthogonal coordinate systems that feature quadratic coordinate surfaces, the ellipsoidal coordinate system is not produced by rotating or projecting any two-dimensional orthogonal coordinate system.

Related formulas


zcartesian coordinate (dimensionless)
csemi-principal axis of length c (dimensionless)
λorthogonal coordinate (dimensionless)
μorthogonal coordinate (dimensionless)
νorthogonal coordinate (dimensionless)
bsemi-principal axis of length b (dimensionless)
asemi-principal axis of length a (dimensionless)