The symplectic geometry of the three-body problem
arXiv:2101.04438
Abstract
A book, concerning the classical restricted three body problem, and the approach to this old conundrum coming from the modern methods of symplectic and contact geometry. It is split into Part I (theoretical aspects), and Part II (practical aspects). The main themes are Floer theory, contact topology, symplectic dynamics, and astrodynamics (with a view towards space mission design).
242 pages