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gr-qc2026
Post-Newtonian secular dynamics of hierarchical triples II. Canonical derivation of the 1PN quadrupole cross terms and of the quadrupole-squared term
Hideyoshi Arakida
We derive the secular Hamiltonian of a hierarchical triple from the 1PN ADM three-body Hamiltonian by a two-stage Lie-Hori-Deprit transformation carried out entirely in canonical v…
gr-qc2026
Post-Newtonian secular dynamics of hierarchical triples. I. Eccentricity-, inclination- and node-dependence of the multiple-scale formulation, and its canonical consistency
Hideyoshi Arakida
We will re-examine the leading post-Newtonian (1PN) cross terms of hierarchical triples obtained by Lim and Rodriguez (LR) with a two-parameter multiple-scale expansion in the hier…