
494 Ballistics: Theory and Design of Guns and Ammunition
We can factor this equation and use our denition of γ to make it look as follows:
Dv
p
p
p
v
v
v
v
p
v
=
−
−
=
0
1
0
1
1
0
1
0
1
1
1
1
γ
(16.301)
If we multiply and divide the inside by
, we obtain
D
pv=
0
11
γ
(16.302)
We can use Equation 16.266 to alter v
0
/v
1
to yield
v=
γ
γ
11
(16.303)
This can be rearranged as
D
pv
=+()
γ
γ
1
(16.304)
And inserting the ideal gas equation of state we obtain
D
NRT
=+()
γ
γ
1
(16.305)
We can now calculate the ideal detonation velocity D* through
D
NR T
MW
*
(
*
)
*
*
=+
γ
γ
2
u
2explosive
1
2
(16.306)
Once we have these ideal values
,
, and D*, we need to calculate the real valu