Discrete Time Transfer Matrix Method for Projectile Trajectory Prediction
Publication: Journal of Aerospace Engineering
Volume 28, Issue 2
Abstract
Due to the importance of the ballistic trajectory computation including the estimation of launch point and impact point problems, a fast and accurate model is needed to increase the weapon precession. A discrete time transfer matrix method is developed and presented in this paper to compute the trajectory for both fin- and spin-stabilized artillery projectiles. This method is based on discretizing the projectile continuous nonlinear system into a set of linear equations using a second-order Taylor series. These equations are collected into one transfer matrix which can be used in trajectory prediction with high computation speed by evaluating a set of algebraic equations instead of integrating differential equations. Results demonstrate that the presented formulation agrees very well with those obtained numerically using the well-known nonlinear 6-degree-of-freedom model.
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Acknowledgments
The research was supported by the Research Fund for the Doctoral Program of Higher Education of China (20113219110025), the Natural Science Foundation of China Government (11102089), and the Program for New Century Excellent Talents in University (NCET-10-0075).
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Information
Published In
Journal of Aerospace Engineering
Volume 28 • Issue 2 • March 2015
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Mar 28, 2013
Accepted: Aug 30, 2013
Published online: Sep 5, 2013
Discussion open until: Nov 20, 2014
Published in print: Mar 1, 2015
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