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The Bicircular Model Near the Triangular Libration Points of the RTBP

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From Newton to Chaos

Part of the book series: NATO ASI Series ((NSSB,volume 336))

Abstract

We present a study of a simplified model of the Restricted Four Body Problem consisting of Earth, Moon, Sun and a massless particle, as a model of the dynamics of a spacecraft. The region where we look for the motion is a vicinity of the triangular libration points of the Restricted Three Body Problem. The model we discuss here is the so called Bicircular Problem. The main question is the existence of zones where the motion has good stability properties. The answer is positive, but the stable motions can not be confined to a small distance of the ecliptic plane. Both numerical simulations and analytical results are presented. Some tentative explanations offer a possible way to study many other kinds of problems. Some applications to space missions are mentioned.

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Author information

Authors and Affiliations

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

    Carles Simó & Gerard Gómez

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

    Àngel Jorba & Josep Masdemont

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

Editors and Affiliations

  1. Dept. of Physics and Astronomy, Glasgow University, G12 8QQ, Glasgow, UK

    Archie E. Roy

  2. Dept. of Mathematics, Glasgow Caledonian University, G4 0BA, Glasgow, UK

    Bonnie A. Steves

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© 1995 Springer Science+Business Media New York

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Simó, C., Gómez, G., Jorba, À., Masdemont, J. (1995). The Bicircular Model Near the Triangular Libration Points of the RTBP. In: Roy, A.E., Steves, B.A. (eds) From Newton to Chaos. NATO ASI Series, vol 336. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-1085-1_34

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  • DOI: https://doi.org/10.1007/978-1-4899-1085-1_34

  • Publisher Name: Springer, Boston, MA

  • Print ISBN: 978-1-4899-1087-5

  • Online ISBN: 978-1-4899-1085-1

  • eBook Packages: Springer Book Archive

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