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gr-qc2025
Nonconservative Lie series: post-Newtonian binary dynamics at 2.5PN
Christopher Aykroyd, Adrien Bourgoin, Christophe Le Poncin-Lafitte
We present a fully analytical solution to the dynamics of the non-spinning 2.5 post-Newtonian binary problem, accounting for both the long-term (secular) and short-term (oscillator…
gr-qc2024
Hamiltonian normal forms for the post-Newtonian binary problem
Christopher Aykroyd, Adrien Bourgoin, Christophe Le Poncin-Lafitte
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 frame…