Practical Stability Domains Near L4,5 in the Restricted Three-Body Problem: Some Preliminary Facts

  • C. SimóEmail author
  • P. Sousa-Silva
  • M. Terra
Conference paper
Part of the Springer Proceedings in Mathematics & Statistics book series (PROMS, volume 54)


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”.


Periodic Orbit Invariant Manifold Rotation Number Centre Manifold Planar Case 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.



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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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  1. 1.Universitat de BarcelonaBarcelonaSpain
  2. 2.Instituto Tecnológico de AeronáuticaSão José dos CamposBrazil

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