Defence Science Journal
  • Year: 2009
  • Volume: 59
  • Issue: 1

Angular Orientation of Anti-Aircraft Gun for Interception of a Moving Air Target

  • Author:
  • Deepak Kumar1, R.N. Mishra2
  • Total Page Count: 12
  • Page Number: 3 to 14

1Directorate of Standardisation, Ministry of Defence, New Delhi - 110 011.

2Indian Institute of Technology, Roorkee - 247 667.

NomenclatureXt,Yt,Zt

Component of target's initial position, along X,Y and Z axes

Vtx,Vty,Vtz

Component of target's initial velocity, long X, Y and Z axes

Atx,Aty,Atz

Component of target's initial acceleration, along X, Y and Z axes

Xp,Yp,Zp

Component of projectile's initial position, along X, Y and Z axes

Vpx,Vpy,Vpz

Component of projectile's initial velocity, along X, Y and Z axes

Dpavx,Dpavy,Dpavz

Component of projectile's average deceleration, along X, Y and Z axes

Dpav

Projectile's average deceleration

Vpav

Projectile's average velocity

K

Projectile's initial velocity (1000 m/s)

C

Deceleration Constant

g

Acceleration due to gravity (9.8 m/s2)

bp

Bearing at which the projectile is fired from the gun

ep

Elevation at which the projectile is fired from the gun

t

Time of flight of projectile till collision with target

Abstract

The paper considers the problem of angular orientation of anti-aircraft guns towards a moving air target. The factors affecting the collision of the projectile fired from a gun with the moving air target are highlighted. Thereafter, a mathematical model has been developed to estimate the angular orientation of the anti-aircraft gun in terms of bearing and elevation, in the direction of the predicted future position of the moving air target, to enable collision of the projectile with the target.

Keywords

Gun laying equations, angular orientation, anti-aircraft guns, future position, moving air target