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July-August - Air Defense Artillery School

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1 foot per second \\'ould be (d% H factor)~. To deter-<br />

100<br />

mine the difference in muzzle velocity between the assumed<br />

and the deyeloped muzzle yelocity it is only necessary to determine<br />

the horizontal range de\'iation TO of the burst, then<br />

add to this the horizontal range effect OP of the vertical<br />

de\'iation, and diyide the resultant length TP by (d% H<br />

Rl<br />

factor) 100 .<br />

Then 6.i\ IV =<br />

length of line TP<br />

(d%H factor) Rl<br />

100<br />

Referring to figure 2 which is a horizontal projection of<br />

the problem.<br />

The horizontal range deviation due to a lateral deyiation<br />

from the batten' and Rank is TO. CD = ER.<br />

but TD = TC + CD = ::t<br />

0202<br />

l'<br />

1000 sin<br />

=+=<br />

l')} 01<br />

-----<br />

1000 tan T<br />

= :J<br />

02 H<br />

1000 sin £2sin T<br />

01 H<br />

+ ------~<br />

1000 sin £1tan T<br />

The horizontal range deviation due to a vertical deviation<br />

from the battery is DP. Referring to figure 1:<br />

01(11sin £1 (11H<br />

D P = ::t 1000 ~~::t 1000<br />

Then TP = TD + DP<br />

ancl 6.i\IV =<br />

(11H t'h H<br />

:!: 1000 :!: 1000 sin £1 tan T<br />

By the process of factoring.<br />

61\IV = ::tC1(11::tC281 """C3()2<br />

where,<br />

H<br />

CI = lORI (d%J-) factor)<br />

C1<br />

C2 = sin £1 tan T<br />

C1<br />

C3= .. T<br />

SIn £2 SIn<br />

(d%H factor~ RI<br />

100<br />

The sign to be used with these factors is given above. To I<br />

simplify the computations, the yalues of Cl for the 90mm<br />

ancl 3 inch AA guns are given in Tables I and II. ~<br />

The vertical correction required to move the bursts onto<br />

the muzzle velocity line is equal to minus (11corrected b\<br />

the vertical angle from 01 which is sub tended by the length<br />

1\IK. This correction is equal to 6MV multiplied by the<br />

d.p factor gi\'en in the graphical firing tables. Then 4<br />

d = (11+ 6.MV (cI factor) j<br />

The lateral correction is equal to the minus ()1 converted<br />

to the horizontal plane. 1<br />

-01<br />

orelA = --- ..<br />

cos £1<br />

..<br />

02 H<br />

1000 sin £2 sin f

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