Faculty Sponsor: Dr. Michelle Kuchera
Black holes and the motion of objects of mass around them are important concepts to understand when talking about the universe. The azimuthal, or radial angle, radius, the initial angular speed, and the initial change in radius are values needed to calculate the trajectory of their path. Changing any of these values creates a vastly different trajectory. It was found that the most regular change between graphs changed when the dɸ/dt was changed by an interval of .01 from .01 to .07. The Fourth-Order Runge-Kutta method was used to compute the differential equations that explain the motion. The pylab package in the Spyder Python IDE was used to complete the computations graph the trajectory of an object.