Chaos in the general relativistic three-body problem

The three-body problem in classical gravity is known to have chaotic solutions. We are investigating chaos in the three-body problem in general relativity using post Newtonian equations. We model a binary system that interacts with an incoming star. We solve the post-Newtonian evolution equations in the Hamiltonian formalism to order 2.5. We present results of these interactions that display features of chaos, such as sensitivity to initial conditions and scale invariance.