Chaos Analysis of Post-Minkowski/ Post-Newtonian Kozai-Lidov Systems

We consider chaos in the general relativistic three-body problem. We measure Lyapunov exponents of this system in different ways, using Newtonian gravity, and the post-Newtonian and post-Minkowski approximations to general relativity. We focus on hierarchal three-body systems that are conducive to the Kozai-Lidov mechanism. We evolve the systems numerically and compare chaos from one system to another under a variety of parameters. Studying these systems may help explain the origins of intermediate-mass black holes.