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Moon’s Influence on the Transfer from the Earth to a Halo Orbit Around L 1

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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

The influence of the Moon in the transfer of a satellite from the Earth to a Halo orbit around L1 in the Earthh+Moon-Sun system, is analysed by means of a simple bicircular model for the motion of the Earth and the Moon. The results suggest that using the stable manifold of the Halo orbit, slightly bent by the Moon, it is possible to carry out the transfer avoiding the insertion maneouvre in the Halo orbit.

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References

  1. Farquhar, R.W., and Muhonen, D.P.: Mission Design for a Halo Orbiter of the Earth. J. Spacecraft 14, 3 (1977), 170–177.

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  2. Farquhar, R.W., Muhonen D.P., Newman, C.R., and Heuberger, H.S., “Trajectories and Orbital Maneuvers for the First Libration-Point Satelhte”, J. Guidance and Control, 3, 6 (1980), 549–554.

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  3. Farquhar, R.W., and Kamel, A.A., “Quasi-Periodic Orbits about the Translunar Libration Point” Celestial Mechanics, 7, June 1973, 458–473.

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  4. Hénon, M.,“Vertical Stability of Periodic Orbits in the Restricted Problem I. Equal masses”, Astron.Astroph., 28 (1973), 415–426.

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  5. 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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Authors and Affiliations

  1. Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Gran Via 585, 08007, Barcelona, Spain

    Gerard Gómez & Carles Simó

  2. Departament de Matemàtica Aplicada I, ETSEIB, Universitat Politècnica de Catalunya, Diagonal 647, 08028, Barcelona, Spain

    Àngel Jorba & Josep Masdemont

Authors
  1. Gerard Gómez
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  2. Àngel Jorba
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  3. Josep Masdemont
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  4. Carles Simó
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Editor information

Editors and Affiliations

  1. University of Glasgow, Glasgow, UK

    Archie E. Roy

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© 1991 Plenum Press, New York

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Gómez, G., Jorba, À., Masdemont, J., Simó, C. (1991). Moon’s Influence on the Transfer from the Earth to a Halo Orbit Around L 1 . 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_23

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  • DOI: https://doi.org/10.1007/978-1-4684-5997-5_23

  • 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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