Fast Calculation Of Direct Fire Trajectories
Taking The Earth’s Rotation Into Account
Author(s)
W. Roetzel, W. Czarnetzki & T. Maier
Abstract
An analytical approach is developed for the subsequent consideration of the
Coriolis effect. The target is regarded as a moving target in the star-fixed
coordinate system. The stationary atmosphere creates a nonuniform cross-wind
which reduces the normal moving target deflection of the projectile. The
approach is implemented in a previously developed analytical fast calculation
method and tested against numerical calculations with good results.
Keyword: Coriolis effect, analytical solution, power law, drag coefficient, Mach
number.
1 Introduction
Several analytical solutions of the point mass equation of motion have been
developed for the fast calculation of direct fire trajectories [1–4], which are
based on the power law
( )
2 /
*
* m m m
m
D T
T
v
a C
v
a C Ma C c
⋅
⋅
=
⋅ = ⋅ = − (1)
for the drag coefficient variation with Mach number. McCoy [1] published flat
fire solutions for m= 0, ½, 1. The later solutions [2–4] allow for arbitrary values
of m and any angle of sight β [3, 4]. Wind can be considered using a coordinate
transformation [2, 4]. For uphill and downhill firing the change of pressure and
temperature along the trajectory should be considered. Usually mean values of
Keywords
Coriolis effect, analytical solution, power law, drag coefficient, Mach
number.
Related Book
Other papers in this volume
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