A Note on Dynamics About the Coherent Sun–Earth–Moon Collinear Libration Points

Conference paper
Part of the Astrophysics and Space Science Proceedings book series (ASSSP, volume 44)


Orbits about the Sun–Earth libration points are perturbed by the Moon, and orbits about the Earth–Moon libration points are perturbed by the Sun. We study both situations in the framework of a single, coherent model, the Hill restricted four-body problem. This model is presented in a Sun–Earth rotating reference frame to complement its earlier Earth–Moon frame formulation. We provide an overview of the planar quasi-periodic orbits that originate from the L1 and L2 Lyapunov periodic orbits in Hill’s problem and the circular restricted three-body problem. The role of resonances is also discussed.


Periodic Orbit Libration Point Lyapunov Orbit Orbit Family Collinear Libration Point 
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This work was supported by the Marie Curie Initial Training Network PITN-GA-2011-289240, AstroNet-II.


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Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  1. 1.Institut d’Estudis Espacials de Catalunya and Universitat de BarcelonaBarcelonaSpain
  2. 2.Institut d’Estudis Espacials de Catalunya and Universitat Politècnica de CatalunyaBarcelonaSpain

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