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Trajectory Analysis


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A few notes on estimating and using trajectory equations.

Traditional physics equation works well compared to more cumbersome approaches:

trajectory height =(tangent gun elevation) x range - 0.5 x 9.81 x (flight time)squared

gun elevation = (4.91 x time to aimed range/aimed range)

If 88L56 is aiming at a 700m target, the flight time to 700m is 0.936 seconds, so tangent of gun elevation is 0.00615.

trajectory equation for 700m aim is:

0.00615 x range - 4.91 (flight time)squared

If target is at 900m when aim is at 700m, flight time is 1.22 seconds to 700m and trajectory height at 900m is

.00615 x 900 - 4.91 x (1.22) squared, or

1.77m below target aim point (usually the observed center of mass).

At 500m aim, the trajectory equation for 88L56 is 0.00428 x range - 4.91 (time)squared

If target is at 650m with 500m aim, trajectory at 650m is 0.9m below aim point, which should be a hit against 2m high target height.

One can aim at 500m with 650m target range and still hit at least 50% of shots with Tiger 88, since round to round scatter will bring half the shots up onto target.

The above equation tends to overestimate trajectory heights by a slight amount.

A full explanation of the above approach is available on the Saumur web site

http://musee-des-blindes.intranets.com/login.asp?link=

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