Physics 409 Problem #2Orbital Motion under Central Forces
Fall 2002
Consider a small satellite of mass m orbiting a planet in a strange quadrant of the universe where gravity has been altered to obey
^ F = k rn r
where k may or may not depend on the masse
Physics 409
Problem #5Simulating Diffusion via Random Walks
Fall 2002
Many problems in physicsespecially those involving the actions of large numbers of actorsrequire the use of statistical approaches whether they be attacked via analytic methods or numer
Physics 409
Problem #6Percolation
Fall 2002
Consider a forest made up of a square matrix of plots (LxL). Each plot is initially occupied by a tree with probability p. The first row of trees is set afire and we want to know whether or not the fire makes it
Physics 409 Problem #3Nonlinear Dynamics and Chaos Fall 2002 Consider a simple pendulum subject to linear, velocity-dependent drag, and a sinusoidal driving force. As shown in class, the equation of motion is a nonlinear, second order differential equatio