The Restricted Three-Body Problem and Holomorphic Curves
Author:   Urs Frauenfelder ,  Otto van Koert
Publisher:   Birkhauser Verlag AG
Edition:   1st ed. 2018
ISBN:  

9783319722771


Pages:   374
Publication Date:   06 September 2018
Format:   Hardback
Availability:   In Print   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:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   1st ed. 2018
Weight:   0.746kg
ISBN:  

9783319722771


ISBN 10:   3319722778
Pages:   374
Publication Date:   06 September 2018
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print   Availability explained
This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us.

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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