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Pathways in Mathematics Virtual Series on Symplectic Geometry

The Restricted Three-Body Problem and Holomorphic Curves

Authors: Frauenfelder, Urs, van Koert, Otto

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  • Book combines modern symplectic geometry with the classical three-body problem, 
  • It is an excellent introduction to holomorphic curves in symplectic manifolds, focusing in the case of four-dimensional symplectizations and symplectic cobordisms
  • It is currently the only book of this kind
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eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-319-72278-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-72277-1
  • Free shipping for individuals worldwide
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  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-10180-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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About this book

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 from the theory of pseudo-holomorphic curves.  The book starts with an introduction to relevant topics in symplectic topology and Hamiltonian dynamics before introducing some well-known systems from celestial mechanics, such as the Kepler problem and the restricted three-body problem. After an overview of different regularizations of these systems, the book continues with a discussion of periodic orbits and global surfaces of section for these and more general systems. The second half of the book is primarily dedicated to developing the theory of holomorphic curves - specifically the theory of fast finite energy planes - to elucidate the proofs of the existence results for global surfaces of section stated earlier. The book closes with a chapter summarizing the results of some numerical experiments related to finding periodic orbits and global surfaces of sections in the restricted three-body problem.

This book is also part of the Virtual Series on Symplectic Geometry

http://www.springer.com/series/16019

Table of contents (18 chapters)

Table of contents (18 chapters)

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-319-72278-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-319-72277-1
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
Softcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-030-10180-0
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
The Restricted Three-Body Problem and Holomorphic Curves
Authors
Series Title
Pathways in Mathematics
Copyright
2018
Publisher
Birkhäuser Basel
Copyright Holder
Springer Nature Switzerland AG
eBook ISBN
978-3-319-72278-8
DOI
10.1007/978-3-319-72278-8
Hardcover ISBN
978-3-319-72277-1
Softcover ISBN
978-3-030-10180-0
Series ISSN
2367-3451
Edition Number
1
Number of Pages
XI, 374
Topics