Integrability and actionanglebased solution of the postNewtonian BBH system (lecture notes)
Abstract
These lecture notes are based on Refs. arXiv:2110.15351, arXiv:2012.06586, and arXiv:1908.02927, which aim to give closedform solutions to the spinning, eccentric binary black hole dynamics at 1.5PN via two different equivalent ways: (1) the standard way of integrating Hamilton's equations and (2) using actionangle variables. The above papers assume a certain level of familiarity with the symplectic geometric approach to classical mechanics, the nonfulfillment of which on the reader's part may make the papers appear esoteric. The purpose of these lecture notes is to give the reader this prerequisite knowledge which the above papers assume on the reader's part.
 Publication:

arXiv eprints
 Pub Date:
 June 2022
 DOI:
 10.48550/arXiv.2206.05799
 arXiv:
 arXiv:2206.05799
 Bibcode:
 2022arXiv220605799T
 Keywords:

 General Relativity and Quantum Cosmology;
 Astrophysics  High Energy Astrophysical Phenomena
 EPrint:
 Pedagogical lecture notes based on Refs. arXiv:2110.15351, 2012.06586, 1908.02927, 2210.01605. Accompanied by Mathematica package at https://github.com/sashwattanay/BBHPNToolkit. For the most updated version of these notes (with typos fixed), see https://github.com/sashwattanay/lectures_integrability_actionangles_PN_BBH/blob/ghactionresult/pdflatex/lecture_notes/main.pdf