
74 Ballistics: Theory and Design of Guns and Ammunition
If we recall Equation 3.16, we can write
Mom
g
=
cV
(3.25)
The total linear momentum of the system (neglecting the weapon) is
totsho
(3.26)
The linear momentum of the projectile is
shot p
(3.27)
So the Lagrange approximation for linear momentum is
Mom
totp p
=+ =+
wV cV w
c
V
1
(3.28)
Because we are looking for the parameters, we can readily measure breech pressure and
muzzle velocity, and we must develop predictive equations for them, i.e., equations for
pressure in terms of charge parameters and equations of motion of the projectile. To do
this, we adopt a Lagrangia ...