My question is basically this, if I am only able to measure the total electric field and the magnetic field at a few discrete points in space and time, is it possible to separate the convective and the inductive electric field?
Here is the background. Consider the geomagnetosphere. There is a background geomagnetic field. There is a convective background electric field. Now picture a bunch of charged particles in addition with various energies and velocities so they are guided by the fields and in return modify the fields and so on. There are also other oscillations in both fields introduced from outside. So now we have an induced electric field. I then throw a satellite in there which reports the total magnetic field vector and the total electric field vector but these are only discrete values in space and in time and I have a very small sample of the entire magnetosphere.
Is this even theoretically possible? It seems like at least some theoretical work must have been done on this. If someone can nudge me in the right direction or point to some references, it will be a great help.