The interpretation is as follows: for any given difference in initial position (xj - X2)there is a corresponding acceptable difference in velocity (1)] - B2) whereby the two bullets will collide. Hence, if Q defines the entire space of the p,q coordinates which entirely defines the dynamic model (all values of xj, X2, vi, 1)2), then Re defines that region (or subset of £1) where a collision will occur. And if, p and q have density functions 0(p) and v(Q)-. then the probability of collision ( X) is: (Note: the variables can always be normalized so as to make the denominator identically equal to I; note also the fact that a collision cannot necessarily be completely described as a system existing between energy boundaries. The problem's geometry is equally, if not more, important). This particular approach might be useful in certain satellite collision cases where one may be justified in using very simplified impact geometries, collision requirements and linearized dynamical models. For the general orbital collision case the dynamics are considerably more complex.
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