Evan Cox

Faculty Sponsor: Michelle Kuchera

The purpose of this project is to create a Python program capable of plotting the motion path of a particle around a central static particle. This will be accomplished by using differential equations for both Newtonian gravity and general relativity. The two methods have the potential to yield different results due to the differing conceptions of gravity behind them, one as a force and one as a distortion of space-time. Differential equations cannot be plotted directly as functions of time, so Fourth-Order Runge-Kutta (RK4) must be used to be able to plot these functions. Since the differentials are in terms of r and Ø, the particle motion will be displayed on a polar plot.