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

  • Gerard Gómez
  • Angel Jorba
  • Josep Masdemont
  • Carles Simó
Part of the NATO ASI Series book 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.

Keywords

Solar System Libration Point Restrict Three Body Problem Invariant Torus Quasiperiodic Solution 
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.

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References

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Copyright information

© Plenum Press, New York 1991

Authors and Affiliations

  • Gerard Gómez
    • 1
  • Angel Jorba
    • 2
  • Josep Masdemont
    • 2
  • Carles Simó
    • 1
  1. 1.Departament de Matemàtica Aplicada i AnàlisiUniversitat de BarcelonaBarcelonaSpain
  2. 2.Departament de Matemàtica Aplicada I, ETSEIBUniversitat Politècnica de CatalunyaBarcelonaSpain

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