Measurement model and accuracy analysis of parabolic ballistic projectile flight parameters based on random matrix

Abstract

The existing six light screen array measuring methodology of uniform linear trajectory is unable to determine the impact coordinate and flight speed of the terminal parabolic trajectory projectile. With the parabola trajectory in the terminal trajectory test as the objective, a method is presented to test the flight characteristics of a projectile with a variable speed parabola trajectory. By accounting for the effects of air resistance and gravity on the projectile's trajectory, the space motion equation for the projectile is determined. The impact position and flight speed of the terminal parabolic trajectory projectile cannot be determined by the current six light screen array measurement approach of uniform linear trajectory. A technique is described to evaluate the flight properties of a projectile with a variable speed parabola trajectory, with the goal being the parabola trajectory in the terminal trajectory test. The space motion equation for the projectile is calculated by taking into consideration the effects of gravity and air resistance on its trajectory. The precision of the measurement algorithm is assessed. The results show that the measurement error of the impact coordinates in the detection target plane is not larger than 3.5 mm. The developed measurement model expands the use of the six light curtain rays in the field of terminal trajectory measurement.