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Ballistics, 2nd Edition
book

Ballistics, 2nd Edition

by Donald E. Carlucci, Sidney S. Jacobson
August 2013
Intermediate to advanced content levelIntermediate to advanced
608 pages
21h 36m
English
CRC Press
Content preview from Ballistics, 2nd Edition
273Trajectories
By dening a specic angular momentum, h = H/I
T
, we can write
hii
i
=+×
Ip
It
P
T
d
d
(8.226)
If we take the derivative of Equation 8.226 with respect to time, we get
d
d
d
d
d
d
d
d
d
d
P
T
P
T
2
h
i
iii
i
i
t
I
I
p
Ip
It tt t
=+
2
(8.227)
Since the cross-product of a vector with itself is zero, we get
d
d
d
d
d
d
P
T
P
T
2
h
i
i
i
i
t
I
I
p
Ip
It t
=+
2
(8.228)
In anticipation of a later need, we shall take the dot product and cross-product of the vector h
with the unit vector i to get
hi ii
i
i⋅=
⋅=
Ip
It
Ip
I
P
T
P
T
d
d
(8.229)
hi ii
i
i
i
×=
×=
Ip
It
t
P
T
d
d
d
d
(8.230)
In Equations 8.229 and 8.230, we have used the orthogonality properties of ...
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Publisher Resources

ISBN: 9781466564374