Abstract by Jonathan Bassett
Physics and Astronomy
Chaos in the Spinning Relativistic Three-body Problem
While chaos in the Newtonian three-body problem has been well-studied, its presence in the relativistic three-body problem has been relatively unexplored. In this work, we analyze the chaotic behavior of the three-body gravitational problem in general relativity for spinning bodies. We set up a two-body system in circular orbit that scatters a third object, and integrate the post-Newtonian equations for the trajectories. Doing this many times with slightly varied initial parameters, we are able to explore the different types of interactions in this parameter space. We find evidence that three body-interactions in relativity are chaotic.