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Holomorphic dynamics
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Classroom Contents
On the Spatial Restricted Three-Body Problem - Agustin Moreno
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- 1 Intro
- 2 Spatial circular restricted three-body problem
- 3 Integrable limit cases
- 4 Moser regularization
- 5 Contact geometry of the three-body problem
- 6 Open book decompositions
- 7 Step 1: Open books in the spatial three-body problem
- 8 Basic idea
- 9 Physical interpretation
- 10 Spatial vs Planar orbits
- 11 Step 2: Fixed point theory of Hamiltonian twist maps
- 12 Holomorphic dynamics
- 13 Abstract page
- 14 Shadowing cone
- 15 Holomorphic shadow
