Investigation on Spin-Stabilized Projectile Trajectory Observability Based on Flight Stability

Abstract:

To accurately estimate the projectile ballistic trajectory, where the real impact point can not be identified in case of indirect firing, a 3D tracking radar with Doppler is used during the first portion of projectile trajectory to estimate the projectile attitude and angular motion during flight, and hence; compute the impact point using a nonlinear six-degree-of-freedom 6-DOF trajectory model. A numerical study is done to investigate the effect of the flight stability of a 105mm artillery projectile on the length of Doppler radar data needed to accurately estimate the projectile impact point. A discrete time transfer matrix method DTTM-4DOF is used to estimate the in-flight projectile angular motion using Doppler radar measurements. Simulated Doppler radar data are generated using the 6-DOF model including the projectile initial disturbance problem.

• Periodical: Applied Mechanics and Materials (Volumes 530-531)
• Pages: 175-180
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.530-531.175
• Online since: February 2014
• Authors: Mostafa Khalil*, Xiao Ting Rui, Qi Cheng Zha, Hossam Hendy
• Keywords: Ballistic Trajectory, Discrete Time Transfer Matrix Method, Doppler Radar, Flight Stability, Initial Disturbance

References

[1] P. Groves, Principles of GNSS, Inertial, and Multisensor Integrated Navigation Systems, Artech House Inc, London, (2008).

[2] J. Pinezich, J. Heller and T. Lu, Ballistic projectile tracking using CW Doppler radar, IEEE Transactions on Aerospace and Electronic Systems 46 (2010) 1302-1311.

DOI: 10.1109/taes.2010.5545190

[3] F. Fresconi, G. Cooper and M. Costello, Practical Assessment of Real-Time Impact Point Estimators for Smart Weapons, Journal of Aerospace Engineering 24 (2011) 1-11.

DOI: 10.1061/(asce)as.1943-5525.0000044

[4] R.L. McCoy, Modern Exterior Ballistics: The Launch and Flight Dynamics of Symmetric Projectiles, Schiffer, PA, USA, (1999).

[5] M. Khalil, X. Rui, and H. Hendy, Discrete Time Transfer Matrix Method for Projectile Trajectory Prediction, Journal of Aerospace Engineering (2013).

DOI: 10.1061/(asce)as.1943-5525.0000381

[6] M. Khalil, X. Rui, Qicheng Zha, Hailong Yu, and H. Hendy, Projectile Impact Point Prediction Based on Self-Propelled Artillery Dynamics and Doppler Radar Measurements, Advances in Mechanical Engineering 2013 (2013), Article ID 153913, 12 pages.

DOI: 10.1155/2013/153913

[7] L. Baranowski, Numerical Testing of Flight Stability of Spin-Stabilized Artillery Projectiles, Journal of Theoretical and Applied Mechanics 51 (2013) 375-385.

[8] J. W. Bradley, An Alternative Form of the Modified Point-Mass Equation of Motion, U.S. Army Ballistic Research Laboratory, Report no. BRL-MR-3875 (AD A229514), Aberdeen Proving Ground, MD, (1990).