Analysis of Design Parameters Based on Bullet Trajectories and Hit Probability

摘要

The parameters related to hit probability for optimal design of combat vehicles affects the performance of fire power. In this paper, we present the procedure how to obtain maximal allowable ranges of design parameters so that the desired hit probability may be achieved. To satisfy the desired hit probability, the design parameters should be confined in some regions. For simulation, assume that two design parameters, muzzle velocity error and gun pitch angle error, play major roles for hit probability prediction. The variation of design parameters results in dispersion of bullets at the target plane. Measuring dispersion at the target is called as an error estimate. We use the experimental approach as the error estimate. Experimental approach uses the unit partial and estimation of total errors. Total errors of muzzle velocity and gun pitch angle are transferred to the total errors at the target through the trajectory equation. The unit partials mean the ratio of the error at the target to that at the fire position. In this paper we use both exact trajectory and approximate trajectory. We are able to obtain the maximal allowable range of errors of both muzzle velocity and gun pitch angle in order to achieve the desired hit probability. To satisfy a given hit probability for the given range, it is shown that the vertical gun pitch angle error and muzzle velocity error should be confined into a first quadrant of an elliptic region.