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Gun jump | |
Model for mutations | |
Convergence of numerical methods |
Responsible for the content:
Bernhard Hampl
Mag. Bernhard Hampl |
The problem: A manufacturer of heavy weapons delivered the prototype of a tank gun. It seemed not suitable to him to produce an own firing table for that prototype. But to demonstrate the quality of the new gun in the acceptance tests, its gun jump has to be known. For that, the theoretical impact point of the projectile is necessary. This requires the calculation of the projectile's trajectory, similarily as for the firing table. A quick solution was required, which must be accurate enough to satisfy the client.
The solution: An approximate equation of motion was developped, accurate enough for flat trajectories; additionally, the error compared with the true solution (or with an accurate model as the modified mass point model) was calculated.
Here the main points of the solution found are presented.
Apart from known corrections in tank gunnery, such as corrections for drift and cross wind (corrections known from the firing tables), a correction for non-predictable influences is required, to which the system of gun and projectile is exposed.
Such non-deterministic influences result from tube bending oscillations during firing (being the most important part), the jumping of the gun, mistakes in aiming and others. Deterministic (i.e. non-statistical) perturbations, which are not taken into account for the evaluation of the firing results are also included.
The measure of such statistical influences (non-predictable or not calculated influences) is the so-called gun jump. The definition of the gun jump shows that is has only a statistical meaning.
The actual definition of the gun jump refers to [1], p. 2, [2], p. 303 and [3], p. 524.
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Bibliography: | |
[1] | Francis MIRABELLE, Josep KOCHENDERFER: Analysis of gun jump from ammunition acceptance tests for tank fleet purposes. In: Proccedings from the 10^{th} International Symposium on Ballistics, San Diego, California, October 27-29, 1987, vol. 1 |
[2] | Hellmuth MOLITZ, Reinhold STROBEL: Äußere Ballistik. Berlin, Göttingen, Heidelberg: Springer, 1963 |
[3] | Günter Hauk: Äußere Ballistik. Berlin, Militärverlag der DDR, 1972 |
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