The Restricted Three-Body Problem and Holomorphic Curves

By Otto van Koert and Urs Frauenfelder

Book Overview

Introduction.- Symplectic geometry and Hamiltonian mechanics.- Symmetries.- Regularization of two body collisions.- The restricted three body problem.- Contact geometry and the restricted three body problem.- Periodic orbits in Hamiltonian systems.- Periodic orbits in the restricted three body problem.- Global surfaces of section.- The Maslov Index.- Spectral flow.- Convexity.- Finite energy planes.- Siefring's intersection theory for fast finite energy planes.- The moduli space of fast finite energy planes.- Compactness.- Construction of global surfaces of section.- Numerics and dynamics via global surfaces of section.

• Format: Hardcover
• Language: English
• ISBN: 3319722778
• ISBN13: 9783319722771
• Release Date: September 2018
• Publisher: Birkhauser
• Length: 374 Pages
• Weight: 1.58 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"