Usually there's a way to map one system to another, e.g. to go from a spherical system to a Cartesian, you'll use some (a)tan() and so on. So I suppose there will be a similar transformation for your case.
In any case, plotting is just visualization. So, if you're sure your calculation is correct and visualization is not your primary goal, why should it not be possible to carry on with whatever analysis you mean?
However, visualization is often helpful to find logical errors. For this reason it might be worth to think about the coordinate transformation to get a good visualization done.