Magnetic fields generated by the general rotations of a charged rigid body

[andresB]

The calculations for the magnetic field produced by a uniformly rotating charged sphere can be found in basically every book on electrodynamics. I wonder what happen with the magnetic fields produced by rotating rigid solid that also present precession and nutation movements.

The question comes from reading about precession in the rotation of a neutron star

 

[mfb]

It's complicated, and it will come with the emission of electromagnetic radiation as well. If these processes are slow relative to the rotation then a magnetic field according to the current rotation should be a good approximation near the object.