- #1
sr3056
- 10
- 0
I want to show that if the complex variables ζ and z and related via the relation
z = (2/ζ) + ζ
then the unit circle mod(ζ) = 1 in the ζ plane maps to an ellipse in the z-plane.
Then if I write z as x + iy, what is the equation for this ellipse in terms of x and y?
Any help would be much appreciated.
Thanks!
z = (2/ζ) + ζ
then the unit circle mod(ζ) = 1 in the ζ plane maps to an ellipse in the z-plane.
Then if I write z as x + iy, what is the equation for this ellipse in terms of x and y?
Any help would be much appreciated.
Thanks!