Uncontrolled objects ballistic characteristic calculation technique

Аuthors

Tatarenko D. S.^*, Shutov P. V.^**, Efanov V. V.^***, Rogovenko O. N.^****

Air force academy named after professor N.E. Zhukovskii and Y.A. Gagarin, Voronezh, Russia

*e-mail: denpeas@mail.ru
**e-mail: petr81-26@mail.ru
***e-mail: efanov55@mail.ru
****e-mail: oleg.rogovenko@mail.ru

Abstract

The paper considers the current state-of-the-art of uncontrolled axisymmetric object throwing together ballistic support, and analysis of the existing techniques for their trajectory calculation when launched from an aerial vehicle (AV). The main parameter specifying uncontrolled object motion relative to the center of mass is nutation angle δ , which initial value can achieve the threshold values (abou δ₀= 30°) and depends on combinations of its projection, such as angle of throwing λ₀, separation velocity, environment disturbance, launcher vibration etc.

To improve accuracy of the problem solution aboard an AV, we suggested to use full ballistic motion model during its separation from the carrier, and the initial conditions to solve it could be obtained according to the ballistic characteristic determination technique of uncontrolled objects being offered. This technique can be implemented under condition of availability of testing system, which make-up and structure are presented in the paper.

Main advantage of the testing system is implementation of proximity sensors comprising a set of sectors realized in the form of perpendicular arranged rows of photo-detectors and radiating elements.

The paper presents for uncontrolled object motion trajectory with initial nutation angle computation results, which show that when throwing 30-millimeter uncontrolled axisymmetric objects rotating about its axis with initial nutation angle values not-to-exceed 10° to a range of 1500-2000 m, the range spread up to 170 m and lateral deviation spread up to 20 m are observed.

In range environment, the proposed technique for ballistic characteristic determination of uncontrolled objects enables to obtain dependences of initial uncontrolled object nutation angles versus different conditions of their launch. The resulting experimental dependences can be utilized to obtain accurate initial conditions required when integrating differential equations of full ballistic motion model for uncontrolled objects.

Keywords:

ballistic characteristics determination method, information and computer system, initial conditions, center of masses

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