D. Calhoun et A. Lewandowski, PARDEX - A PROGRAM FOR COMPUTING THE ENVIRONMENTAL RISK ASSOCIATED WITH ACCIDENTAL EXPLOSIONS, Environmental software, 9(1), 1994, pp. 13-21
The environmental risk associated with damage caused by fragments gene
rated by accidental explosions can be defined as the probability that
a fragment will hit an object of a given size and a given location. Th
is probability can be calculated under the assumption that the initial
velocity and launching angle of a fragment are uniformly distributed
random variables. Since air drag cannot be neglected in most practical
cases, equations of motion must be solved numerically to compute this
probability. This paper presents two implementations of a procedure f
or calculating this probability: an exact method which requires that t
he equations of motion be solved whenever information about the range
of a fragment must be computed, and an approximate method in which the
data for range and velocity is tabulated and interpolated.