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Transport Dynamics: From the Bicircular to the Real Solar System Problem

  • Conference paper
Extended Abstracts Spring 2014

Part of the book series: Trends in Mathematics ((RPCRMB,volume 4))

Abstract

The main goal is to give an explanation of transport in the Solar System based in dynamical systems theory. More concretely, we consider as an approximation of the Solar System, a chain of independent Bicircular problems in order to get a first insight of transport in this simplified case. Each bicircular problem (BP) consists of the Sun (S), Jupiter (J), a planet and an infinitesimal mass.

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References

  1. E. Barrabés, G. Gómez, J.M. Mondelo, and M. Ollé, “Transport in the Solar System”. Preprint.

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  2. G. Gómez, J. Llibre, R. Martínez, and C. Simó, “Study on orbits near the triangular libration points in the perturbed restricted three-body problem”. Report ESOC 6139/84/D/JS(SC), 1987.

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Author information

Authors and Affiliations

  1. Departament de Matemàtica Aplicada I, Universitat Politècnica de Catalunya, Barcelona, Spain

    Mercè Ollé

  2. Departament d’Informàtica i Matemàtica Aplicada, Universitat de Girona, Girona, Spain

    Esther Barrabés

  3. Departament de Matemàtica Aplicada i Anàlisi, Universitat de Barcelona, Barcelona, Spain

    Gerard Gómez

  4. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

    Josep Maria Mondelo

Authors
  1. Mercè Ollé
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  2. Esther Barrabés
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  3. Gerard Gómez
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  4. Josep Maria Mondelo
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Corresponding author

Correspondence to Mercè Ollé .

Editor information

Editors and Affiliations

  1. Departament de Tecnologies Digitals, Campus Torre dels Frares, Universitat de Vic, Vic, Spain

    Montserrat Corbera

  2. Departament de Matemàtica Aplicada III, Universitat Politècnica de Catalunya, Manresa, Spain

    Josep Maria Cors

  3. Departament de Matemàtiques, Universitat Autònoma de Barcelona, Barcelona, Spain

    Jaume Llibre

  4. Centre de Recerca Matemàtica, Barcelona, Spain

    Andrei Korobeinikov

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© 2015 Springer International Publishing Switzerland

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Cite this paper

Ollé, M., Barrabés, E., Gómez, G., Mondelo, J.M. (2015). Transport Dynamics: From the Bicircular to the Real Solar System Problem. In: Corbera, M., Cors, J., Llibre, J., Korobeinikov, A. (eds) Extended Abstracts Spring 2014. Trends in Mathematics(), vol 4. Birkhäuser, Cham. https://doi.org/10.1007/978-3-319-22129-8_8

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