Elliptic Cylindrical Coordinates

  • Thread starter nassboy
  • Start date
40
0
Is there a cylindrical coordinate system that is centered about the foci of an ellipse. It would include (r,theta,z) just like cylindrical coordinates only for an ellipse.

If this coordinate system exists, what is the laplacian?

Chris
 
40
0
I wasn't sure if those coordinate systems were exactly what I wanted....they aren't focci centered.
 
2
0
Can't you just perform a simple affine transformation so that the origin is at one of the foci? Of course, using the chain rule to incorporate this shift would slightly alter the form of your Laplacian.
 

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