Low-Energy Transfers in the Earth–Moon System

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


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.


Earth–Moon system Libration points Low-energy transfers 



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.).


  1. 1.
    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
  2. 2.
    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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