Characteristic Features Of Some Periodic Orbits In The Restricted Three Body Problem
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Characteristic Features Of Some Periodic Orbits In The Restricted Three Body Problem
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Author : Wilton E. Causey
language : en
Publisher:
Release Date : 1964
Characteristic Features Of Some Periodic Orbits In The Restricted Three Body Problem written by Wilton E. Causey and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 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
Some Periodic Orbits In The Elliptic Restricted Problem Of Three Bodies
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Author : Peter J. Shelus
language : en
Publisher:
Release Date : 1970
Some Periodic Orbits In The Elliptic Restricted Problem Of Three Bodies written by Peter J. Shelus and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with Celestial mechanics categories.
Research In The Restricted Three Body Problem
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Author : G. Contopoulos
language : en
Publisher:
Release Date : 1970
Research In The Restricted Three Body Problem written by G. Contopoulos and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1970 with categories.
Numerical evidence has been given of the existence of a new integral in the Restricted Problem. This integral was expressed in terms of the Delaunay variables in a series form in powers of the mass ratio mu, the eccentricity e and the semi-major axis a. It was shown that Stromgren's family and Henon's family of periodic orbits known are linked through the mass ratio mu. Families of figure eight orbits were studied. The same approach was used for other families of periodic orbits. It was again found that certain families are connected. The report has classified the orbits in the restricted 3-body problem which pass through the ineer Lagrangian point L1, according to their first minimum distance from either primary, both for planar and three dimensional orbits. The report has studied the stability of periodic orbits in the restricted three-body problem and similar problems, by studying the variational equations. The report has found several properties of the solutions of the variational equations, and using these properties it has proved that orbits which are linearly stable are also stable to second order terms in the initial displacements. The report has also found the characteristic curves of stable periodic orbits by using the results mentioned above, and also using the 'third' integral. (Author).
A Series Solution For Some Periodic Orbits In The Restricted Three Body Problem According To The Perturbation Method
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Author : Su-Shu Huang
language : en
Publisher:
Release Date : 1964
A Series Solution For Some Periodic Orbits In The Restricted Three Body Problem According To The Perturbation Method written by Su-Shu Huang and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1964 with Differential equations categories.
Generating Families In The Restricted Three Body Problem
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Author : Michel Henon
language : en
Publisher: Springer Science & Business Media
Release Date : 2003-07-01
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 2003-07-01 with Science categories.
The classical restricted problem of three bodies is of fundamental 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. In this book an attempt is made to explain and organize 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, where several families come together and it is necessary to determine how individual branches are joined. Many different cases must be distinguished and studied separately. Detailed recipes are given. Their use is illustrated by determining a number of generating families, associated with natural families of the restricted problem, and comparing them with numerical computations in the Earth-Moon and Sun-Jupiter case.
Nasa Technical Memorandum
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Author :
language : en
Publisher:
Release Date : 1963
Nasa Technical Memorandum 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 Aeronautics categories.
Periodic Orbits In The Elliptic Restricted Three Body Problem
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Author : R. A. Broucke
language : en
Publisher:
Release Date : 1969
Periodic Orbits In The Elliptic Restricted Three Body Problem written by R. A. Broucke and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Artificial satellites categories.
Some Homoclinic Orbits For The Restricted Three Body Problem
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Author : Richard McGehee
language : en
Publisher:
Release Date : 1969
Some Homoclinic Orbits For The Restricted Three Body Problem written by Richard McGehee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Orbits categories.
Analytic Construction Of Periodic Orbits In The Restricted Three Body Problem
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Author : Mohammed A. Ghazy
language : en
Publisher:
Release Date : 2010
Analytic Construction Of Periodic Orbits In The Restricted Three Body Problem written by Mohammed A. Ghazy and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2010 with Combinatorial dynamics categories.