Live Poster Session: Zoom Link
Thursday, July 30th 1:15-2:30pm EDT
Abstract: The present work seeks to gain an understanding of the topology of the planar gravitational three-body problem for equal masses and to apply the results to its molecular equivalent. The three-body problem is notorious for its complexity of solutions that provide insight into the motion of three masses at both a planetary scale and molecular scale, depending on a given potential. Even the restricted case of planar motion with equal masses that we explore yields intricate topological maps. These maps are populated by four end results: dissociation, fly-by, exchange, and resonance events. For modeling the problem, we utilize the Hermite numerical integration method, and reproduce previous work to ensure that the program is accurate. As program accuracy and runtime are barriers in any numerical integration, we report energy conservation as a function of initial step size and program runtime as a function of initial step size to serve as a reference when performing any trajectory calculation. We extend previous work by computing the initial and final angular and radial actions for fly-by and exchange events and generate contour plots to glean further information from the gravitational case.
Research_Poster2020-Osama-ElgaboriLive Poster Session: Zoom Link
Thursday, July 30th 1:15-2:30pm EDT