Optimal distance to accelerate projectile

[NeutronFusion]

Hi! I am recently involved in a project with a friend. We are trying to build a mass accelerator and thus, I figured that I need to know the optimal distance to place the coils and the winds on the coil. My thought was that if we place the coils too close, the coils wouldn't accelerate the projectile very far, but if it is too far, the coils won't have much influence on the projectile. Can someone please help with this? Thank you! Providing a way to figure it out would be nice!

 

[mfb]

At the ideal point, the force from the coils is just sufficient to get the projectile moving, assuming you can power your coils long enough. This should be easy to figure out experimentally.

 

[NeutronFusion]

This should be easy to figure out experimentally.

Ok but is there anyway to mathematically calculate it?

 

[mfb]

With numerical simulations, sure. Simulations with magnetic fields influencing ferromagnetic materials tend to be complicated.