Ordnance And Gunnery; a Text-Book Prepared for the Cadets of the United States Military Academy, West Point

Cover Ordnance And Gunnery; a Text-Book Prepared for the Cadets of the United States Military Academy, West Point
Ordnance And Gunnery; a Text-Book Prepared for the Cadets of the United States Military Academy, West Point
Ormond M Ormond Mitchell Lissak
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In the head wind the range is reduced to 6c. cd is therefore the variation in range due to the wind. While the projectile travels from 6 to c the air particle travels from 6 to o, the distance WpT, ac, or X', is therefore the distance that separates the projectile and the air particle at the end of the time T\ that is, it is the relative range of the projectile with respect to the air particle. The relative initial velocity of the projectile is as shown in Fig. 159, its velocity in a calm, 7, i...n- creased by the component JF of the air's velocity in the direction of motion. 7' = ^+ JF is therefore the initial velocity necessary to produce the relative range, and similarly ^'«^— J^ is the necessary angle of departure.
890 ORDNANCE AND GUNNERY.
It is apparent from Fig. 160 that cd=M— 6c=bd— (oc— a6) or cd=X-(X'-IFp70 and calling cd with its sign changed JX, we have JX^X'-iX+WpT) Compute the relative range X' with the values F' and 0', using the formulas with Table II. While the projectile is traversing this relative range the air particle moves over a distance WpT, The actual range traversed by the projectile is therefore X'TlFpT, and the variation in range due to the wind is X-{X'^WpT) Changing the sign and rearranging, we get JX=Z'-(X±TFp70 (49) in which X and T are computed from V and without considering the wind.


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