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The Central Manifold for the Collinear Libration Points

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Abstract

This communication is devoted to the analysis of the dynamics in an extended neighborhood of the collinear equilibrium points of the three—dimensional Restricted Three Body Problem. The analysis is done using numerical tools for the determination of periodic orbits and invariant 2D tori. All the relevant information of the neutrally stable behavior of the dynamics in the vicinity of the three libration points is given. These results extend those given in Jorba and Masdemont, 1999, since they avoid the convergence restrictions of the semi—analytical approach used in this reference. A complete version of this communication, including all the methodological and computational details can be found in Mondelo, 2001, and Gómez and Mondelo, 2001

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References

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© 2002 Springer Science+Business Media Dordrecht

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Gómez, G., Mondelo, J.M. (2002). The Central Manifold for the Collinear Libration Points. In: Celletti, A., Ferraz-Mello, S., Henrard, J. (eds) Modern Celestial Mechanics: From Theory to Applications. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-2304-6_29

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  • DOI: https://doi.org/10.1007/978-94-017-2304-6_29

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-6078-5

  • Online ISBN: 978-94-017-2304-6

  • eBook Packages: Springer Book Archive

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