Ellipsoidal Coordinates ("x" cartesian coordinate)
Description
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 formulasVariables
| x | cartesian coordinate (dimensionless) |
| a | semi-principal axis of length a (dimensionless) |
| λ | orthogonal coordinate (dimensionless) |
| μ | orthogonal coordinate (dimensionless) |
| ν | orthogonal coordinate (dimensionless) |
| b | semi-principal axis of length b (dimensionless) |
| c | semi-principal axis of length c (dimensionless) |