Dario Panici

use external objective for this

use this fxn https://github.com/PlasmaControl/DESC/blob/b10f8c8be9d3e751684e5d34abecaf5cd40b2205/desc/magnetic_fields/_core.py#L31

`scipy.integrate.tpl_quad` to check this

[IAEA2020_JGeiger_Manuscript_8p_finalversion (1).pdf](https://github.com/user-attachments/files/16090258/IAEA2020_JGeiger_Manuscript_8p_finalversion.1.pdf) [Contributions to Plasma Physics - 2010 - Geiger - Effects of Net Currents on the Magnetic Configuration of W7‐X (2).pdf](https://github.com/user-attachments/files/16090260/Contributions.to.Plasma.Physics.-.2010.-.Geiger.-.Effects.of.Net.Currents.on.the.Magnetic.Configuration.of.W7.X.2.pdf)

Can someone remind me what the issue was with the Galerkin projection? did it just not work well?

Been messing around with the branch for fun, it kind of works especially if you allow your projected basis resolution to exceed the equilibrium resolution, but something is broken with...

#1117 related

I have a version of this [here](https://github.com/PlasmaControl/DESC/blob/388742176f9578f01837a66cdb9fb64de3a08b6e/desc/objectives/_coils.py#L467)

Try running with jax debug_nans

https://drive.google.com/file/d/1mA8tmktuMO-bUwUVtD3LoIH2meHPesCd/view?usp=sharing Some initial notes I had on this, trying to follow the usual Boozer transform way but with Fourier-Zernike basis instead of DoubleFourierSeries. I was hoping to see if we...