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Physics Letters B
We calculate the motion of binary mass systems in gravity up to the sixth post-Newtonian order to the G 3 N terms ab initio using momentum expansions within an effective field theory approach based on Feynman amplitudes in harmonic coordinates. For these contributions we construct a canonical transformation to isotropic and to EOB coordinates at 5PN and agree with the results in the literature [1,2] by Bern et al. and Damour. At 6PN we compare to the Hamiltonians in isotropic coordinates eitherdoi:10.1016/j.physletb.2020.135496 fatcat:wsgmezhkzfgpzhprk2ps5dm44y