Applications of Geometric Probability Techniques to the Probability Distribution of Distances in a Layered Sphere

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