Linear response, Hamiltonian, and radiative spinning two-body dynamics

Using the spinning, supersymmetric worldline quantum field theory formalism we compute momentum impulse and spin kick from a scattering of two spinning black holes or neutron stars up to quadratic order in at third post-Minkowskian (PM) order, including radiation-reaction effects with arbitrarily misaligned directions. Parts these observables, both conservative radiative, are also inferred lower-PM data by extending Bini Damour's linear response formula include spins. By solving Hamilton's equations motion use angle infer complete 3PM two-body Hamiltonian finite-size corrections spin-spin interactions. Finally, describe mappings bound dynamics for aligned vectors: numerical plot binding energy circular orbits compared relativity, analytic confirmation NNLO PN energy, loss over successive orbits.