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Periodic Orbits, Stability and Resonances

Proceedings of a Symposium Conducted by the University of São Paulo, the Technical Institute of Aeronautics of São José Dos Campos, and the National Observatory of Rio De Janeiro, at the University of São Paulo, São Paulo, Brasil, 4–12 September, 1969

  • Conference proceedings
  • © 1970

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About this book

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.

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Keywords

Table of contents (44 papers)

Editors and Affiliations

  • Escola Politécnica, University of São Paulo, São Paulo, Brasil

    G. E. O. Giacaglia

  • Instituto de Matemática, University of Campinas, São Paulo, Brasil

    G. E. O. Giacaglia

Bibliographic Information

  • Book Title: Periodic Orbits, Stability and Resonances

  • Book Subtitle: Proceedings of a Symposium Conducted by the University of São Paulo, the Technical Institute of Aeronautics of São José Dos Campos, and the National Observatory of Rio De Janeiro, at the University of São Paulo, São Paulo, Brasil, 4–12 September, 1969

  • Editors: G. E. O. Giacaglia

  • DOI: https://doi.org/10.1007/978-94-010-3323-7

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1970

  • Hardcover ISBN: 978-90-277-0170-1Due: 31 December 1970

  • Softcover ISBN: 978-94-010-3325-1Published: 08 November 2011

  • eBook ISBN: 978-94-010-3323-7Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: 544

  • Topics: Astronomy, Observations and Techniques

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