The Use Of Computer Algebra And Nonlinear
Optimization For Real Time Computation Of
Fire Orders For Direct Fire
Author(s)
A. Kuhrt & H. Rothe
Abstract
For real time calculation of flat fire trajectories, a simple and efficient mathematical
model is developed by using computer algebra systems. These systems not
only allow one to find analytical solutions to difficult mathematical problems,
but are also able to generate runtime-optimized C code. Therefore, it was possible
to develop a real time code for the solution of flat fire problems. This code
includes influences given by the thermodynamic state of the atmosphere, wind
of any strength and direction and shooting at higher or lower targets. For finding
the appropriate ballistical coefficients of our model, a two dimensional non-linear
global optimization was necessary. The results of our flat fire code are compared
with a number of NATO standard ballistic tables.
Keywords: direct firing, analytical solution, nonlinear optimization, varying
terrain angle, Ma dependent drag coefficients, changing air pressure and temperature,
wind, real time.
1 Introduction
Especially for modern stabilized weapon platforms, built for firing in motion at
moving targets, probably using a target tracking system, real time fire command
generation is necessary. This problem can be solved by using a new approach,
which is based on ballistical models for flat fire trajectories, given e.g. by McCoy
[1]. In the following, the necessary terms of the mathematical model will be
explained in detail.
All equations are related to a reference inertial coordinate system (x, y, z) as
displayed in fig. 1. Following the model of a flat fire trajectory, all external forces
Keywords
direct firing, analytical solution, nonlinear optimization, varying
terrain angle, Ma dependent drag coefficients, changing air pressure and temperature,
wind, real time.
Related Book
Other papers in this volume
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