The Restricted Three-Body Problem and Holomorphic Curves
The book serves as an introduction to holomorphic curves in symplectic manifolds, focusing on the case of four-dimensional symplectizations and symplectic cobordisms, and their applications to celestial mechanics. The authors study the restricted three-body problem using recent techniques coming fro...
Κύριοι συγγραφείς: | , |
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Συγγραφή απο Οργανισμό/Αρχή: | |
Μορφή: | Ηλεκτρονική πηγή Ηλ. βιβλίο |
Γλώσσα: | English |
Έκδοση: |
Cham :
Springer International Publishing : Imprint: Birkhäuser,
2018.
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Έκδοση: | 1st ed. 2018. |
Σειρά: | Pathways in Mathematics,
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Θέματα: | |
Διαθέσιμο Online: | Full Text via HEAL-Link |
Πίνακας περιεχομένων:
- 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.