Department of the Air Force Report, 1996

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The best-fit values of B and A from Figure 30 and Figure 31 have been listed for
convenient reference in Table 25.
It is interesting to note that, for all breakup
conditions, the currently-used value of B = 1,000 provided a better data fit than any
other B that was investigated.
Table 25. Shaping Constants for LLVl
TB
Breakup qa
(sec)
(deg-lb/£t2)
B
A
290
none
1,000
1.85
20,000
2.60
10,000
2.70
5,000
2.75
290
none
10,000
2.45
20,000
1,000
2.60
10,000
1,000
2.70
5,000
1,000
2.75
No launch-area risk calculations were made for LLVl.
6.6 Shaping Constants for Other Launch Vehicles
Procedures for developing Mode-5 shaping constants A and B are fully· described in
this report. For Atlas, Delta, Titan, and LLVl, best-fit values of A were derived for four
breakup conditions (1) for the currently-used value of B = 1,000, and (2) for optimum-fit
values of B.
For any new launch vehicle requiring risk calculations, the same
procedures should be followed to obtain suitable values for A and B.
As an alternative and less time-consuming process, values of A and B can be estimated
by comparing the new vehicle with one of the four vehicles referred to above and listed
in Table 26. If the configuration and trajectory of the new vehicle and one of the listed
vehicles are similar, values of A and B shown in the table for that vehicle and the
assumed breakup condition can be used. There may, of course, be no similarity
between the new vehicle and any of the listed vehicles. In that event and depending on
assumed breakup conditions, one of the mean values shown in the last row of the table
can be selected until better values can be developed.
Table 26. Summary of A Values for B = 1,000
Vehicle
IP Range (nm)
at 30 sec
Breakup qa (deg-lb/ft2)
5,000
10,000
20,000
None
Atlas HAS
Delta-GEM
Titan IV
CLVl
0.3
5.2
1.9
33.4
3.45
4.30
3.50
2.75
3.20
2.75
3.10
2.90
3.25
2.95
2.70
2.60
1.90
1.90
2.00
1.85
Other vehicles
3.5
3.1
2.8
1.9
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RTI