Electromagnetic simulators with motion

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pYr0rAGE
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Hi all

For a recent project, I am looking to simulate a metallic object moving through a magnetic field (think modeling the motion of a solenoid core inside of a coil of wire). I've tried out simulators such as MaxFEM and meep, but I can't seem to figure out how to simulate the motion of an object due to simulated forces. The best I can do is set up a bunch of static simulations, moving the object a fixed distance each time. Is there a software package that would be suitable for this purposes?
 
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