
220 Ballistics: Theory and Design of Guns and Ammunition
Problem 1
A 155 mm projectile is in ight at its maximum ordinate. At this instant in time, the nose
of the projectile is pointing along (and spinning about) the unit vector:
xeee=++(. ..)0 998 0 030 0 056
123
The projectile velocity vector is
Veee=++
1199 049
12 3
ft
In both of these cases, e
1
, e
2
, and e
3
are unit vectors in the x, y, and z planes, respectively.
Also at this location the air density, spin rate, and projectile mass are as follows:
ρω
=
==
=0 052 150 100.,
]
lbm
rev
an
bm
3
The projectile characteristics are assumed to be
C
CCC
CCC
C
D
MMM
LNN
N
q
q
p
=+=−
=+=
30 10 ...