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Practical Stability Domains Near L 4,5 in the Restricted Three-Body Problem: Some Preliminary Facts

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Progress and Challenges in Dynamical Systems

Part of the book series: Springer Proceedings in Mathematics & Statistics ((PROMS,volume 54))

Abstract

We consider the problem of stability around the triangular libration points in the Restricted Three-Body Problem. The “local stability” is decided thanks to KAM theory and Nekhorosev-like estimates, as it is well known. The question addressed in this note is which is the extend of the domains of “practical stability”.

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Acknowledgements

The first author has been supported by grants MTM2010-16425 (Spain) and 2009 SGR 67 (Catalonia). Part of the work was supported by grant MTM2006-05849/Consolider (Spain). The second author thanks the CNPq (Brazil) for the grant PDE-201932/2010-5. The third author thanks FAPESP (Brazil) for the grant 2010/18692-8. The computing facilities of the Dynamical Systems Group of the Universitat de Barcelona have been largely used in this work. The authors are warmly indebted to his colleague J. Timoneda for technical support.

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Authors and Affiliations

  1. Universitat de Barcelona, Gran Via 585, Barcelona, Spain

    C. Simó & P. Sousa-Silva

  2. Instituto Tecnológico de Aeronáutica, São José dos Campos, SP, Brazil

    M. Terra

Authors
  1. C. Simó
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  2. P. Sousa-Silva
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  3. M. Terra
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Corresponding author

Correspondence to C. Simó .

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Editors and Affiliations

  1. Department of Mathematics, University of Oviedo, Oviedo, Spain

    Santiago Ibáñez

  2. Department of Mathematics, University of Oviedo, Oviedo, Spain

    Jesús S. Pérez del Río

  3. Department of Mathematics, University of Oviedo, Oviedo, Spain

    Antonio Pumariño

  4. Department of Mathematics, University of Oviedo, Oviedo, Spain

    J. Ángel Rodríguez

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Simó, C., Sousa-Silva, P., Terra, M. (2013). Practical Stability Domains Near L 4,5 in the Restricted Three-Body Problem: Some Preliminary Facts. In: Ibáñez, S., Pérez del Río, J., Pumariño, A., Rodríguez, J. (eds) Progress and Challenges in Dynamical Systems. Springer Proceedings in Mathematics & Statistics, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-38830-9_23

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