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Low-Energy Transfers in the Earth–Moon System

  • Elisa Maria AlessiEmail author
  • Gerard Gómez
  • Josep J. Masdemont

Abstract

The aim of this work is to compute low-energy trajectories in the Earth–Moon system within the framework of the Circular Restricted Three-Body Problem. It is known that this model admits five equilibrium points, in a proper reference system. We look for connection paths between the neighbourhood of a given collinear libration point and one of the primaries. We focus on the point L 1 and on the point L 2, whose linear behaviour is of type center × center × saddle. We consider Lindstedt–Poincaré series expansion as main procedure to compute invariant stable manifolds associated with periodic and quasi-periodic orbits around L 1 and L 2. It turns out that direct lunar transfers are allowed only from certain regions on the Moon’s surface and that the most advantageous connections between the Earth and a libration point orbit take place at the local maxima of the function distance between the Earth and a given stable manifold.

Keywords

Earth–Moon system Libration points Low-energy transfers 

Notes

Acknowledgements

This work has been supported by the Spanish grants MTM2006-05849 (E.M.A., G.G.) and MTM2006-00478 (J.J.M.) and by the Astronet Marie Curie fellowship (E.M.A.).

References

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    M.W. Lo, S.D. Ross, The lunar L 1 gateway: portal to the stars and beyond. In: AIAA Space Conference, Albuquerque, New Mexico, USA, 28–30 August 2001 (2001) Google Scholar
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    V. Szebehely, Theory of Orbits (Academic Press, New York, 1967) Google Scholar
  3. 3.
    J.J. Masdemont, Dyn. Syst. 20, 59–113 (2005) MathSciNetzbMATHCrossRefGoogle Scholar

Copyright information

© Springer Science+Business Media B.V. 2011

Authors and Affiliations

  • Elisa Maria Alessi
    • 1
    Email author
  • Gerard Gómez
    • 1
  • Josep J. Masdemont
    • 2
  1. 1.IEEC & Departament de Matemàtica Aplicada i AnàlisiUniversitat de BarcelonaBarcelonaSpain
  2. 2.IEEC & Departament de Matemàtica Aplicada I, ETSEIBUniversitat Politècnica de CatalunyaBarcelonaSpain

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