Applications of Geometric Probability Techniques to the Probability Distribution of Distances in a Layered Sphere
D. Smalley · Digital Commons - Longwood (Longwood University) · 2006
Many of the most fundamental forces in nature are dependent of the relative distance between points. The applications of geometric probability techniques to the probability distribution of distances in a layered sphere was studied. Through the use of geometric probability techniques an analysis of a two layered sphere was performed. Using Overhauser’s method, the probability density function was determined for a layered sphere. The research compares the derived probability density function to a Monte Carlo simulation and found that the derived function agrees with the simulation. The program used to create the Monte Carlo simulation was modified from a program developed by Stan McCaslin for a uniform sphere.