How to compute the magnetic force between two electromagnets?

[terranrush]

I wanna compute the magnetic forces between two solenoids with iron cores, is there any analytic formula for this?
I guess that dipole-dipole interaction "

https://en.wikipedia.org/wiki/Force_between_magnets#Magnetic_dipole-dipole_interaction"

can be used, but I don't know how to compute the dipole moment for solenoid with iron core.

 

[PlantBoy]

I suppose the first question you might ask is what is the Field Strengths of the two individual devices?

Can you use Maxwell's Equations to work out individually what the Magnetic Field strength is for both individually?