Periodic Solutions Of The Restricted Three Body Problem Representing Analytic Continuations Of Keplerian Elliptic Motions
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Periodic Solutions Of The Restricted Three Body Problem Representing Analytic Continuations Of Keplerian Elliptic Motions
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Author : Richard F. Arenstorf
language : en
Publisher:
Release Date : 1963
Periodic Solutions Of The Restricted Three Body Problem Representing Analytic Continuations Of Keplerian Elliptic Motions written by Richard F. Arenstorf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Three-body problem categories.
Nasa Technical Note
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Author :
language : en
Publisher:
Release Date : 1963
Nasa Technical Note written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with categories.
The Restricted 3 Body Problem Plane Periodic Orbits
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Author : Alexander D. Bruno
language : en
Publisher: Walter de Gruyter
Release Date : 2011-05-03
The Restricted 3 Body Problem Plane Periodic Orbits written by Alexander D. Bruno and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-03 with Mathematics categories.
The aim of the series is to present new and important developments in pure and applied mathematics. Well established in the community over two decades, it offers a large library of mathematics including several important classics. The volumes supply thorough and detailed expositions of the methods and ideas essential to the topics in question. In addition, they convey their relationships to other parts of mathematics. The series is addressed to advanced readers wishing to thoroughly study the topic. Editorial Board Lev Birbrair, Universidade Federal do Ceará, Fortaleza, Brasil Victor P. Maslov, Russian Academy of Sciences, Moscow, Russia Walter D. Neumann, Columbia University, New York, USA Markus J. Pflaum, University of Colorado, Boulder, USA Dierk Schleicher, Jacobs University, Bremen, Germany
The Restricted Three Body Problem And Holomorphic Curves
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Author : Urs Frauenfelder
language : en
Publisher: Springer
Release Date : 2018-08-29
The Restricted Three Body Problem And Holomorphic Curves written by Urs Frauenfelder and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-08-29 with Mathematics categories.
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
Generating Families In The Restricted Three Body Problem
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Author : Michel Henon
language : en
Publisher: Springer Science & Business Media
Release Date : 1997-11-27
Generating Families In The Restricted Three Body Problem written by Michel Henon and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1997-11-27 with Language Arts & Disciplines categories.
The classical three-body problem is of great importance for its applications to astronomy and space navigation, and also as a simple model of a non-integrable Hamiltonian dynamical system. A central role is played by periodic orbits, of which a large number have been computed numerically. Here the author explains and organizes this material through a systematic study of generating families, which are the limits of families of periodic orbits when the mass ratio of the two main bodies becomes vanishingly small. The most critical part is the study of bifurcations. Many cases are distinguished and studied separately and detailed recipies are given. Their use is illustrated by determining generating families, and comparing them with numerical computations for the Earth+Moon and Sun-Jupiter systems.
Pseudo Periodic Orbits Of The Planar Collision Restricted 3 Body Problem In Rotating Coordinates
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Author : Jaume Llibre
language : en
Publisher:
Release Date : 2008
Pseudo Periodic Orbits Of The Planar Collision Restricted 3 Body Problem In Rotating Coordinates written by Jaume Llibre and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with categories.
Monthly Catalog Of United States Government Publications
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Author :
language : en
Publisher:
Release Date : 1961
Monthly Catalog Of United States Government Publications written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Government publications categories.
Monthly Catalog Of United States Government Publications
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Author : United States. Superintendent of Documents
language : en
Publisher:
Release Date : 1961
Monthly Catalog Of United States Government Publications written by United States. Superintendent of Documents and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1961 with Government publications categories.
General Linear Methods For Ordinary Differential Equations
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Author : Zdzislaw Jackiewicz
language : en
Publisher: John Wiley & Sons
Release Date : 2009-08-14
General Linear Methods For Ordinary Differential Equations written by Zdzislaw Jackiewicz and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-08-14 with Mathematics categories.
Learn to develop numerical methods for ordinary differential equations General Linear Methods for Ordinary Differential Equations fills a gap in the existing literature by presenting a comprehensive and up-to-date collection of recent advances and developments in the field. This book provides modern coverage of the theory, construction, and implementation of both classical and modern general linear methods for solving ordinary differential equations as they apply to a variety of related areas, including mathematics, applied science, and engineering. The author provides the theoretical foundation for understanding basic concepts and presents a short introduction to ordinary differential equations that encompasses the related concepts of existence and uniqueness theory, stability theory, and stiff differential equations and systems. In addition, a thorough presentation of general linear methods explores relevant subtopics such as pre-consistency, consistency, stage-consistency, zero stability, convergence, order- and stage-order conditions, local discretization error, and linear stability theory. Subsequent chapters feature coverage of: Differential equations and systems Introduction to general linear methods (GLMs) Diagonally implicit multistage integration methods (DIMSIMs) Implementation of DIMSIMs Two-step Runge-Kutta (TSRK) methods Implementation of TSRK methods GLMs with inherent Runge-Kutta stability (IRKS) Implementation of GLMs with IRKS General Linear Methods for Ordinary Differential Equations is an excellent book for courses on numerical ordinary differential equations at the upper-undergraduate and graduate levels. It is also a useful reference for academic and research professionals in the fields of computational and applied mathematics, computational physics, civil and chemical engineering, chemistry, and the life sciences.
Periodic Solutions Of The Restricted Three Body Problem Representing Analytic Continuations Of Keplerian Elliptic Motions
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Author : Richard F. Arenstorf
language : en
Publisher:
Release Date : 1963
Periodic Solutions Of The Restricted Three Body Problem Representing Analytic Continuations Of Keplerian Elliptic Motions written by Richard F. Arenstorf and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1963 with Three-body problem categories.