Patent Number: 050842323
Section: claims

1. A method of determining and defining a probability function P.sub.2 for an object to impact a predesignated surface comprising the following steps: (a) measure said object's parameters of generation and ejection,  (b) solve a set of equations that govern a trajectory of said object and obtain a position vector, a velocity vector, and a trajectory equation in terms of initial conditions,  (c) find a unit tangent vector from said velocity vector or from said trajectory equation,  (d) find a unit normal vector and a differential surface area from a governing equation of said surface to be struck,  (e) find an intersection of said trajectory on said surface and express intersection coordinates in terms of two independent variables that define said surface,  (f) define an incident angle of said object on said trajectory striking at said surface as an inner product of said unit tangent vector and said unit normal vector expressed in terms of two independent variables at said intersection,  (g) define a trajectory solid angle as an integral of a cosine of said incident angle multiplied by a differential of said surface area divided by a square of said position vector of said surface, and  (h) define said probability distribution function as said trajectory solid angle divided by four pi.