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The Restricted Three-Body Problem and Holomorphic Curves

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Cover of 'The Restricted Three-Body Problem and Holomorphic Curves'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 Symplectic Geometry and Hamiltonian Mechanics
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    Chapter 3 Symmetries
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    Chapter 4 Regularization of Two-Body Collisions
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    Chapter 5 The Restricted Three-Body Problem
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    Chapter 6 Contact Geometry and the Restricted Three-Body Problem
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    Chapter 7 Periodic Orbits in Hamiltonian Systems
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    Chapter 8 Periodic Orbits in the Restricted Three-Body Problem
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    Chapter 9 Global Surfaces of Section
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    Chapter 10 The Maslov Index
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    Chapter 11 Spectral Flow
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    Chapter 12 Convexity
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    Chapter 13 Finite Energy Planes
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    Chapter 14 Siefring’s Intersection Theory for Fast Finite Energy Planes
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    Chapter 15 The Moduli Space of Fast Finite Energy Planes
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    Chapter 16 Compactness
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    Chapter 17 Construction of Global Surfaces of Section
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    Chapter 18 Numerics and Dynamics via Global Surfaces of Section
Attention for Chapter 12: Convexity
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