The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics) - Tapa blanda

Libro 2 de 7: Pathways in Mathematics

Frauenfelder, Urs; Van Koert, Otto

 
9783030101800: The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics)
Tapa blanda
ISBN 10: 3030101800 ISBN 13: 9783030101800
Editorial: Birkhäuser, 2019

Sinopsis

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

"Sinopsis" puede pertenecer a otra edición de este libro.

De la contraportada

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 resultsfor 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.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Birkhäuser
Año de publicación
2019
Idioma
Inglés
ISBN 10 
3030101800
ISBN 13 
9783030101800
Encuadernación
Tapa blanda
Número de páginas
388
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

Otras ediciones populares con el mismo título

9783319722771: The Restricted Three-Body Problem and Holomorphic Curves (Pathways in Mathematics)

Edición Destacada

ISBN 10:  3319722778 ISBN 13:  9783319722771
Editorial: Birkhäuser, 2018
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