These lecture notes are based on Refs. arXiv:2110.15351, arXiv:2012.06586,
and arXiv:1908.02927, which aim to give closed-form 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
action-angle variables. The above papers assume a certain level of familiarity
with the symplectic geometric approach to classical mechanics, the
non-fulfillment 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.
