VectorAnalysis`
VectorAnalysis`

ProlateSpheroidal

As of Version 9.0, vector analysis functionality is built into the Wolfram Language

ProlateSpheroidal

represents the prolate spheroidal coordinate system with default variables Xxi, Eeta, and Pphi and default parameter value 1.

ProlateSpheroidal[ξ,η,ϕ]

represents the prolate spheroidal coordinate system with variables ξ, η, and ϕ and default parameter value 1.

ProlateSpheroidal[ξ,η,ϕ,a] represents the prolate spheroidal coordinate system with variables ξ, η, and ϕ and parameter a.

Details

Examples

Basic Examples  (1)

In[1]:=
Click for copyable input

Use ProlateSpheroidal as the default coordinate system:

In[2]:=
Click for copyable input
Out[2]=

All evaluations now use prolate spheroidal coordinates as the default:

In[3]:=
Click for copyable input
Out[3]=
In[4]:=
Click for copyable input
Out[4]=

Reset the default coordinate system to Cartesian:

In[5]:=
Click for copyable input
Out[5]=

See Also

Paraboloidal  ParabolicCylindrical  EllipticCylindrical  OblateSpheroidal

Tutorials