Confocal Paraboloidal Coordinates

Author

Eric W. Weisstein
May 6, 2004

This notebook downloaded from http://mathworld.wolfram.com/notebooks/CoordinateGeometry/ConfocalParaboloidalCoordinates.nb.

For more information, see Eric's MathWorld entry http://mathworld.wolfram.com/ConfocalParaboloidalCoordinates.html.

©2005 Wolfram Research, Inc. except for portions noted otherwise

Initialization

<<Calculus`VectorAnalysis`
coord=ConfocalParaboloidal;

Usage

?ConfocalParaboloidal

Properties

ScaleFactors[coord]

CoordinatesToCartesian[Coordinates[coord],coord]

CoordinatesFromCartesian[{x,y,z},coord]

Div[Through[{F1,F2,F3}@@Coordinates[coord]],coord]//TraditionalForm

Curl[Through[{F1,F2,F3}@@Coordinates[coord]],coord]//TraditionalForm

Grad[f@@Coordinates[coord],coord]//TraditionalForm

Laplacian[f@@Coordinates[coord],coord]//TraditionalForm