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The Restricted Three-Body Problem and Holomorphic Curves
Af: Urs Frauenfelder, Otto van Koert Engelsk Hardback
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kr 320
The Restricted Three-Body Problem and Holomorphic Curves
Af: Urs Frauenfelder, Otto van Koert Engelsk Hardback
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 Geometryhttp://www.springer.com/series/16019
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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 Geometryhttp://www.springer.com/series/16019
Produktdetaljer
Sprog: Engelsk
Sider: 374
ISBN-13: 9783319722771
Indbinding: Hardback
Udgave:
ISBN-10: 3319722778
Udg. Dato: 6 sep 2018
Længde: 23mm
Bredde: 163mm
Højde: 242mm
Oplagsdato: 6 sep 2018
Forfatter(e) Urs Frauenfelder, Otto van Koert


Kategori Kompleks analyse, komplekse variabler


Sprog Engelsk


Indbinding Hardback


Sider 374


Udgave


Længde 23mm


Bredde 163mm


Højde 242mm


Udg. Dato 6 sep 2018


Oplagsdato 6 sep 2018

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