4 papers
Lunar Reference Timescale
Adrien Bourgoin, Pascale Defraigne, Frédéric Meynadier
Setting up a relativistic lunar reference frame is of a prime importance in the context of future exploration missions to the Moon. If the procedure for building a consistent refer…
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…
Hamiltonian treatment of non-conservative systems
Christopher Aykroyd, Adrien Bourgoin, Christophe Le Poncin-Lafitte
We present a novel extension of Hamiltonian mechanics to nonconservative systems built upon the Schwinger-Keldysh-Galley double-variable action principle. Departing from Galley's i…
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…