The Restricted Three-Body Problem and Holomorphic Curves

Author:   Urs Frauenfelder ,  Otto van Koert
Publisher:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2018
ISBN:  

9783030101800


Pages:   374
Publication Date:   25 January 2019
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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The Restricted Three-Body Problem and Holomorphic Curves


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Author:   Urs Frauenfelder ,  Otto van Koert
Publisher:   Springer Nature Switzerland AG
Imprint:   Springer Nature Switzerland AG
Edition:   Softcover reprint of the original 1st ed. 2018
Dimensions:   Width: 15.50cm , Height: 2.00cm , Length: 23.50cm
Weight:   0.593kg
ISBN:  

9783030101800


ISBN 10:   3030101800
Pages:   374
Publication Date:   25 January 2019
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.

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