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Quasiperiodic Orbits as a Substitute of Libration Points in the Solar System

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Predictability, Stability, and Chaos in N-Body Dynamical Systems

Part of the book series: NATO ASI Series ((NSSB,volume 272))

Abstract

Consider the Earth-Moon-particle system as a RTBP. It is well known that there are two equilateral libration points. In the real life system, these points do not exist, due to the effect of the perturbations caused by the part of the solar system which is not taken into account. In this work the full problem is presented as a perturbation of the RTBP and we look for a dynamical equivalent of L4,5, which seems to be a quasiperiodic orbit. In this paper we present a way to obtain these orbits, as well as their stability.

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References

  1. Díez C., Jorba A., Simó C.: A Dynamical Equivalent to the Equilateral Libration Points of the Real Earth-Moon System, preprint.

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  5. Schultz, B. E. and Tapley, B. D.: Numerical studies of solar influenced particle motion near triangular Earth-Moon libration points, in Periodic Orbits. Stability and Resonances, Ed G. E. O. Giacaglia, 82–90, Reidel (1970).

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  6. Simó C., Gómez G., Jorba A., Masdemont J.: Invariant Unstable Tori Computed by Lindstedt-Poincaré Method. Reduction to the Central Manifold and Applications to Space Flight Dynamics, Proceedings of the NATO/ASI held at Cortina d'Ampezzo, 1990.

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© 1991 Plenum Press, New York

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Gómez, G., Jorba, A., Masdemont, J., Simó, C. (1991). Quasiperiodic Orbits as a Substitute of Libration Points in the Solar System. In: Roy, A.E. (eds) Predictability, Stability, and Chaos in N-Body Dynamical Systems. NATO ASI Series, vol 272. Springer, Boston, MA. https://doi.org/10.1007/978-1-4684-5997-5_36

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  • DOI: https://doi.org/10.1007/978-1-4684-5997-5_36

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4684-5999-9

  • Online ISBN: 978-1-4684-5997-5

  • eBook Packages: Springer Book Archive

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