
258 Ballistics: Theory and Design of Guns and Ammunition
If we again use the fact that the wind velocity is at least two orders of magnitude
smaller than the projectile velocity, the last two terms in the product on the RHS
vanish, leaving
≈
2
(8.151)
Then we can rewrite Equation 8.149 as
VV gV
V
x
yx x
x
x
=−
∫
tan
φ
0
2
2
1
d
(8.152)
This equation has exactly the same form as the at re equation for V
y
. Hence, we can say
that for a at re trajectory, with a small range wind compared to the projectile velocity,
the vertical component of velocity is not appreciably affected.
We can now turn our attention to the time of ight of a projectile with ...