At 4PN order, the binding energy in the flux-balance law differs from the conservative energy by a hereditary 'pseudo-Schott' term, which exactly reproduces the previously postulated energy-frequency relation and confirms the 4.5PN phasing.
128 5 ln Gm c2b0 − 192 5 ln(y)− 128 5 γE− 256 5 ln(2)− 32 15 # , (5.7a) Jcirc diss = Gm2ν2y7/2 c
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Schott term in the binding energy for compact binaries on circular orbits at fourth post-Newtonian order
At 4PN order, the binding energy in the flux-balance law differs from the conservative energy by a hereditary 'pseudo-Schott' term, which exactly reproduces the previously postulated energy-frequency relation and confirms the 4.5PN phasing.