Oblate Spheroidal Coordinates

Author

Eric W. Weisstein
May 5, 2004

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

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

For a list of Eric's math packages that may be needed to evaluate this notebook, see http://mathworld.wolfram.com/packages/.  An archive of these packages may be downloaded from http://mathworld.wolfram.com/packages/MathWorldPackages.zip, as well as from the Mathematica Information Center's MathSource item 4775.  A list of Eric's utility packages that may be needed to evaluate this notebook may be downloaded from MathSource item 5087.

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

Initialization

<<Calculus`VectorAnalysis`
coord=OblateSpheroidal;

Usage

?OblateSpheroidal

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