Periodic Orbits, Stability and Resonances

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Publisher : Springer Science & Business Media
ISBN 13 : 9401033234
Total Pages : 540 pages
Book Rating : 4.37/5 ( download)

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Book Synopsis Periodic Orbits, Stability and Resonances by : G.E.O. Giacaglia

Download or read book Periodic Orbits, Stability and Resonances written by G.E.O. Giacaglia and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 540 pages. Available in PDF, EPUB and Kindle. Book excerpt: The subjects of resonance and stability are closely related to the problem of evolution of the solar system. It is a physically involving problem and the methods available to mathematics today seem unsatisfactory to produce pure non linear ways of attack. The linearization process in both subjects is clearly of doubtful significance, so that, even if very restrictive, numerical solutions are still the best and more valuable sources of informations. It is quite possible that we know now very little more of the entire problem that was known to Poincare, with the advantage that we can now compute much faster and with much more precision. We feel that the papers collected in this Symposium have contributed a step forward to the comprehension of Resonance, Periodic Orbits and Stability. In a field like this, it would be a surprise if one had gone a long way toward that comprehension, during the short time of two weeks. But we are sure that the joint efforts of all the scientists involved has produced and will produce a measurable acceleration in the process. If this is true it will be a great satisfaction to us that this has happened in Brasil. The Southern Hemisphere in America has now begun to participate actively in the Astro nomical Society and for this, we are grateful to everyone who has helped.

Periodic Orbits, Stability and Resonances

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Publisher :
ISBN 13 :
Total Pages : 330 pages
Book Rating : 4.96/5 ( download)

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Book Synopsis Periodic Orbits, Stability and Resonances by : Giorgio E. O. Giacaglia

Download or read book Periodic Orbits, Stability and Resonances written by Giorgio E. O. Giacaglia and published by . This book was released on 1970 with total page 330 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Periodic Orbits, Stability and Resonances

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Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.44/5 ( download)

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Book Synopsis Periodic Orbits, Stability and Resonances by :

Download or read book Periodic Orbits, Stability and Resonances written by and published by . This book was released on 1970 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Periodic Orbits, Stability and Resonances

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Publisher :
ISBN 13 :
Total Pages : 530 pages
Book Rating : 4.71/5 ( download)

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Book Synopsis Periodic Orbits, Stability and Resonances by :

Download or read book Periodic Orbits, Stability and Resonances written by and published by . This book was released on 1970 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Periodic Orbits, Stability and Resonances

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.51/5 ( download)

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Book Synopsis Periodic Orbits, Stability and Resonances by : G.E.O. Giacaglia

Download or read book Periodic Orbits, Stability and Resonances written by G.E.O. Giacaglia and published by . This book was released on 1970 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Stability of Periodic Orbits

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Publisher :
ISBN 13 :
Total Pages : 38 pages
Book Rating : 4.31/5 ( download)

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Book Synopsis The Stability of Periodic Orbits by : Leigh Sneddon

Download or read book The Stability of Periodic Orbits written by Leigh Sneddon and published by . This book was released on 1981 with total page 38 pages. Available in PDF, EPUB and Kindle. Book excerpt: The linear stability analysis of a periodic orbit, X(o)(t), of a dynamical system X = F(X), is related to the anomalous ferromagnetic resonance properties of ferrites. It is shown to have a continuous sequence of normal mode problems associated with it. This sequence defines a natural set of coordinate axes which allow the stability analysis to be put in a form which has already been dealt with analytically in the ferrite resonance theory. A simplification which allowed the basic experimental properties to be accounted for is applied to the stability analysis. The simplified analytic solution is obtained for three-mode systems, its properties and consequences are discussed and it is checked against some rigorous results. (Author).

Dynamical Systems III

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Publisher : Springer Science & Business Media
ISBN 13 : 3662025353
Total Pages : 305 pages
Book Rating : 4.52/5 ( download)

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Book Synopsis Dynamical Systems III by : Vladimir I. Arnol'd

Download or read book Dynamical Systems III written by Vladimir I. Arnol'd and published by Springer Science & Business Media. This book was released on 2013-04-17 with total page 305 pages. Available in PDF, EPUB and Kindle. Book excerpt: This work describes the fundamental principles, problems, and methods of elassical mechanics focussing on its mathematical aspects. The authors have striven to give an exposition stressing the working apparatus of elassical mechanics, rather than its physical foundations or applications. This appara tus is basically contained in Chapters 1, 3,4 and 5. Chapter 1 is devoted to the fundamental mathematical models which are usually employed to describe the motion of real mechanical systems. Special consideration is given to the study of motion under constraints, and also to problems concerned with the realization of constraints in dynamics. Chapter 3 is concerned with the symmetry groups of mechanical systems and the corresponding conservation laws. Also discussed are various aspects of the theory of the reduction of order for systems with symmetry, often used in applications. Chapter 4 contains abrief survey of various approaches to the problem of the integrability of the equations of motion, and discusses some of the most general and effective methods of integrating these equations. Various elassical examples of integrated problems are outlined. The material pre sen ted in this chapter is used in Chapter 5, which is devoted to one of the most fruitful branches of mechanics - perturbation theory. The main task of perturbation theory is the investigation of problems of mechanics which are" elose" to exact1y integrable problems.

Periodic Trojan Orbits for the Resonance 1/12

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ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.05/5 ( download)

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Book Synopsis Periodic Trojan Orbits for the Resonance 1/12 by : Andre Deprit

Download or read book Periodic Trojan Orbits for the Resonance 1/12 written by Andre Deprit and published by . This book was released on 1968 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: A bridge of periodic orbits consisting of a lane of stable orbits and a lane of unstable ones connects the two short period orbits around L sub 4 whose rotation number is equal to 12. (Author).

Modern Celestial Mechanics

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Publisher : CRC Press
ISBN 13 : 9780415279383
Total Pages : 0 pages
Book Rating : 4.80/5 ( download)

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Book Synopsis Modern Celestial Mechanics by : Alessandro Morbidelli

Download or read book Modern Celestial Mechanics written by Alessandro Morbidelli and published by CRC Press. This book was released on 2002-05-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last 20 years, researchers in the field of celestial mechanics have achieved spectacular results in their effort to understand the structure and evolution of our solar system. Modern Celestial Mechanics uses a solid theoretical basis to describe recent results on solar system dynamics, and it emphasizes the dynamics of planets and of small bodies. To grasp celestial mechanics, one must comprehend the fundamental concepts of Hamiltonian systems theory, so this volume begins with an explanation of those concepts. Celestial mechanics itself is then considered, including the secular motion of planets and small bodies and mean motion resonances. Graduate students and researchers of astronomy and astrophysics will find Modern Celestial Mechanics an essential addition to their bookshelves.

Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications

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Publisher : Springer Science & Business Media
ISBN 13 : 1402053258
Total Pages : 434 pages
Book Rating : 4.52/5 ( download)

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Book Synopsis Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications by : Alessandra Celletti

Download or read book Periodic, Quasi-Periodic and Chaotic Motions in Celestial Mechanics: Theory and Applications written by Alessandra Celletti and published by Springer Science & Business Media. This book was released on 2007-02-02 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides the most recent advances of Celestial Mechanics, as provided by high-level scientists working in this field. It covers theoretical investigations as well as applications to concrete problems. Outstanding review papers are included in the book and they introduce the reader to leading subjects, like the variational approaches to find periodic orbits and the space debris polluting the circumterrestrial space.