Department of the Air Force Report, 1996

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There are other ways to show how the value chosen for A affects the Mode-5 impact
density function For five values of A, the plots in Figure 33 show the percentages* of
Atlas IIAS impacts that lie between the flight line and any radial line through the launch
point that makes an angle 8 with respect to the flight line. If A = 3.0, it can be seen that
approximately 46% of all Mode-5 impacts lie between 0° and 20°. If A is 4.0, the percentage
of impacts between 0° and 20° increases to about 64%.
100
..J..-.--­
..;,,-.......r ..: ......r.........
90
:.-,
80
70
60
C -
(I) e 50
(I)
,f
'
! /
!
1
!Data jfor Atl. s IIA~
a..
.... ,'.j..............,r ............. ;............;...............;.............. !...............i...............;............
40
:
/ i
'
:
:
8 = 1 000
i
30 /J/ I ! I j
i-~=1-~
,
,
,
- -
-
= 2.u
20
r·•,l-r•····· •••••••••••••••••••••••••
• •••••••••••••••••••••••• -----~ =·3.()··········
/ 1
:
;
;
.
,
--- A= 4.()
10
O
/
1
r
I
r
r= 5·~
0
0
20
40
60
80 100 120 140· 160 180
Theta (deg)
Figure 33. Percentage of Impacts Between Flight Line and Any Radial
············~ ·············· l
: ---:
...... -t-/.
;
* The Mode-5 impact density function must be integrated numerically to arrive at the values plotted in
Figure 33. Since the quantity R that appears in the density function is trajectory dependent,
somewhat different curves would be obtained for other trajectories and vehicles.
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