Coverart for item
The Resource The Restricted Three-Body Problem and Holomorphic Curves, by Urs Frauenfelder, Otto van Koert, (electronic resource)

The Restricted Three-Body Problem and Holomorphic Curves, by Urs Frauenfelder, Otto van Koert, (electronic resource)

Label
The Restricted Three-Body Problem and Holomorphic Curves
Title
The Restricted Three-Body Problem and Holomorphic Curves
Statement of responsibility
by Urs Frauenfelder, Otto van Koert
Creator
Contributor
Author
Author
Subject
Language
eng
Summary
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.--
Member of
Assigning source
Provided by publisher
http://library.link/vocab/creatorName
Frauenfelder, Urs
http://bibfra.me/vocab/relation/httpidlocgovvocabularyrelatorsaut
  • RDzX9wu8E1o
  • BSaoSI3ai4c
Image bit depth
0
Literary form
non fiction
Nature of contents
dictionaries
http://library.link/vocab/relatedWorkOrContributorName
van Koert, Otto
Series statement
  • Pathways in Mathematics,
  • Springer eBooks
  • Springer eBooks.
http://library.link/vocab/subjectName
  • Global differential geometry
  • Differential equations, partial
Label
The Restricted Three-Body Problem and Holomorphic Curves, by Urs Frauenfelder, Otto van Koert, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-72278-8
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
978-3-319-72278-8
Dimensions
unknown
Extent
1 online resource (XI, 374 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319722788
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1051135459
Label
The Restricted Three-Body Problem and Holomorphic Curves, by Urs Frauenfelder, Otto van Koert, (electronic resource)
Link
https://eui.idm.oclc.org/login?url=https://doi.org/10.1007/978-3-319-72278-8
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
  • cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
  • txt
Content type MARC source
rdacontent
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
Control code
978-3-319-72278-8
Dimensions
unknown
Extent
1 online resource (XI, 374 pages)
File format
multiple file formats
Form of item
  • online
  • electronic
Governing access note
Use of this electronic resource may be governed by a license agreement which restricts use to the European University Institute community. Each user is responsible for limiting use to individual, non-commercial purposes, without systematically downloading, distributing, or retaining substantial portions of information, provided that all copyright and other proprietary notices contained on the materials are retained. The use of software, including scripts, agents, or robots, is generally prohibited and may result in the loss of access to these resources for the entire European University Institute community
Isbn
9783319722788
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
  • c
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(OCoLC)1051135459

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