Pseudo Periodic Orbits of the Planar Collision Restricted 3-body Problem in Rotating Coordinates PDF Download
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Author: Jaume Llibre
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Author: Jaume Llibre
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Author: Urs Frauenfelder
Publisher: Springer
ISBN: 3319722786
Category : Mathematics
Languages : en
Pages : 381
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Book Description
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
Author: Mari Sano
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 14
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Author: Jaume Llibre
Publisher:
ISBN:
Category : Averaging method (Differential equations)
Languages : en
Pages : 20
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Author: Octavian Cornea
Publisher:
ISBN:
Category : Algebraic topology
Languages : en
Pages : 54
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Author: Lúcio T. Santos
Publisher:
ISBN:
Category :
Languages : en
Pages : 20
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Author: Gerard Gomez
Publisher: World Scientific
ISBN: 9814486043
Category : Technology & Engineering
Languages : en
Pages : 695
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Book Description
This book presents the state of the art in numerical and analytical techniques as well as future trends associated with mission design for libration point orbits. It contains papers explaining theoretical developments and their applications, including the accurate description of some actual libration point missions of ESA and NASA. The existing software in the field and some applications beyond the neighborhood of the Earth are also presented. Special emphasis is placed on the use of dynamical systems methodology in the libration-point-orbits mission design.
Author: C. A. Abanto-Valle
Publisher:
ISBN:
Category : Bayesian statistical decision theory
Languages : en
Pages : 42
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Author: Jaume Llibre
Publisher:
ISBN:
Category : Averaging method (Differential equations)
Languages : en
Pages : 22
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Author: R. Figueiredo Camargo
Publisher:
ISBN:
Category : Boundary value problems
Languages : en
Pages : 20
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