
268 Ballistics: Theory and Design of Guns and Ammunition
We substitute these into Equations 8.179 through 8.181 yielding
x
≈ 0
(8.202)
V
VLAZ g
y
x
≈Ω −2cos sin
(8.203)
z
x
≈Ω
in
(8.204)
Solution of Equation 8.202 with the initial conditions of
at t = 0 yields
(8.205)
Solution of Equation 8.203 after insertion ofV Equation 8.205 with the initial conditions of
at t = 0 and integrating yields
VV gt
V
g
L
yy
x
≈− −
Ω
0
0
1
2
cossin AZ
(8.206)
Solution of Equation 8.204 with the initial conditions of V
z
= 0 at t = 0 yields after insertion
of Equation 8.205 and integrating
(8.207)
If we now integrate Equations ...