Hamiltonian normal forms for the post-Newtonian binary problem
Hamiltonian normal forms for the post-Newtonian binary problem
We revisit the dynamics of the post-Newtonian (PN) two-body problem for two inspiraling compact bodies. Starting from a matter-only reduced Hamiltonian, we present an adapted framework based on the Lie series approach, enabling the derivation of complete perturbative solutions within the conservative sector. Our framework supports both circular and eccentric …