[PDF] A Series Solution For Some Periodic Orbits In The Restricted Three Body Problem According To The Perturbation Method eBook

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The Three-Body Problem

Author : C. Marchal
Publisher : Elsevier
Page : 593 pages
File Size : 39,2 MB
Release : 2012-12-02
Category : Science
ISBN : 0444600744

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Recent research on the theory of perturbations, the analytical approach and the quantitative analysis of the three-body problem have reached a high degree of perfection. The use of electronics has aided developments in quantitative analysis and has helped to disclose the extreme complexity of the set of solutions. This accelerated progress has given new orientation and impetus to the qualitative analysis that is so complementary to the quantitative analysis. The book begins with the various formulations of the three-body problem, the main classical results and the important questions and conjectures involved in this subject. The main part of the book describes the remarkable progress achieved in qualitative analysis which has shed new light on the three-body problem. It deals with questions such as escapes, captures, periodic orbits, stability, chaotic motions, Arnold diffusion, etc. The most recent tests of escape have yielded very impressive results and border very close on the true limits of escape, showing the domain of bounded motions to be much smaller than was expected. An entirely new picture of the three-body problem is emerging, and the book reports on this recent progress. The structure of the solutions for the three-body problem lead to a general conjecture governing the picture of solutions for all Hamiltonian problems. The periodic, quasi-periodic and almost-periodic solutions form the basis for the set of solutions and separate the chaotic solutions from the open solutions.

A Selected Listing of NASA Scientific and Technical Reports for ...

Author : United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
Publisher :
Page : 1156 pages
File Size : 36,30 MB
Release : 1964
Category : Aeronautics
ISBN :

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A Selected Listing of NASA Scientific and Technical Reports for 1966

Author : United States. National Aeronautics and Space Administration. Scientific and Technical Information Division
Publisher :
Page : 2084 pages
File Size : 14,8 MB
Release : 1967
Category : Aeronautics
ISBN :

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NASA Scientific and Technical Reports

Author : United States. National Aeronautics and Space Administration Scientific and Technical Information Division
Publisher :
Page : 2300 pages
File Size : 14,55 MB
Release : 1967
Category : Aeronautics
ISBN :

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