  Binary sources of gravitational waves in the early inspiral phase are
accurately described by a post-Newtonian expansion in small velocity and weak
interaction. We compute the conservative dynamics to fifth and partial sixth
order using a non-relativistic effective field theory. We give predictions for
central observables and determine the required coefficients for the
construction of an Effective One-Body Hamiltonian, extending the applicability
of our results to the late inspiral and merger phases.
