
317Linearized Aeroballistics
motion for spinning projectiles in exactly the same manner. The results essentially incor-
porate the third angular component known as the roll or spin. The differential equation
for a spinning projectile is given by
′′
+−
′
−+ =−
ξξ ξ
()()HiPMiPTiPG
(9.76)
In this formulation, we can utilize axial symmetry and, thus, dene our coefcients as follows:
HC C
q
=−
LD
**
2
(9.77)
M
C=
2
M
*
α
(9.78)
TC
C=+
L
M
p
2
(9.79)
G
gd
=
2
(9.80)
P
I
pd
=
P
T
(9.81)
The solution to Equation 9.76 is
KsisKs
10 1101 20 20 2
2
g
(9.82)
This equation is essentially the same form ...