Analytical investigation of the optimal and limiting characteristics of coilgun conducted.

With the help of analytical estimates for fields and forces derived on this page, the relations for coilguns are obtained, in particular:

- the maximum energy values acquired by an (infinitely long) projectile during acceleration are estimated;

- graphical dependences of the optimal values of dimensions of the accelerating coils (for a fixed length of the projectile) and the length of the projectile (for a fixed geometry of the coil) for the development of maximum speed and efficiency are obtained;

- the ratio for the accelerating force acting on an infinitely thin projectile is obtained, and on its basis the type of force for a projectile of an arbitrary cross-section shape is determined;

- for the first time, the maximum possible velocity of the accelerated body in a single-stage accelerator with a fixed power is estimated.