Novel Approach to Binary Dynamics: Application to the Fifth Post-Newtonian Level.

We introduce a new methodology for deriving the conservative dynamics of gravitationally interacting binary systems. Our approach combines, in a novel way, several theoretical formalisms: post-Newtonian, post-Minkowskian, multipolar-post-Minkowskian, gravitational self-force, and effective one body. We apply our method to the derivation of the fifth post-Newtonian dynamics.