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Nonlinear Science and Complexity pp 123–124Cite as

An Accounting Device for Biasymptotic Solutions: The Scattering Map in the Restricted Three Body Problem

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Abstract

We compute the scattering map (see explanation below) in the Spatial Restricted Three Body Problem using a combination of analytical and numerical techniques.

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References

  1. H.J. Poincaré, Sur le problème des troi corps et les équations de la dynamique. Acta Math. 13, 1–270 (1890)

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Authors and Affiliations

  1. Departament de Matemàtica Aplicada 1, Universitat Politècnica de Catalunya, Av. Diagonal 647, 08028, Barcelona, Spain

    Amadeu Delshams, Josep J. Masdemont & Pablo Roldán

Authors
  1. Amadeu Delshams
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  2. Josep J. Masdemont
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  3. Pablo Roldán
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Corresponding author

Correspondence to Pablo Roldán .

Editor information

Editors and Affiliations

  1. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Rua Dr. Antonio Bernardino de Almeida 431, Porto, 4200-072, Portugal

    J.A. Tenreiro Machado

  2. Dept. of Mech. & Industr. Engineering, Southern Illinois Univ. Edwardsville, Edwardsville, 62026-1805, Illinois, USA

    Albert C.J. Luo

  3. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Rua Dr. Antonio Bernardino de Almeida 431, Porto, 4200-072, Portugal

    Ramiro S. Barbosa

  4. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Rua Dr. Antonio Bernardino de Almeida 431, Porto, 4200-072, Portugal

    Manuel F. Silva

  5. Institute of Engineering, Dept. Electrotechnical Engineering, Polytechnic Institute of Porto, Rua Dr. Antonio Bernardino de Almeida 431, Porto, 4200-072, Portugal

    Lino B. Figueiredo

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Delshams, A., Masdemont, J.J., Roldán, P. (2011). An Accounting Device for Biasymptotic Solutions: The Scattering Map in the Restricted Three Body Problem. In: Machado, J., Luo, A., Barbosa, R., Silva, M., Figueiredo, L. (eds) Nonlinear Science and Complexity. Springer, Dordrecht. https://doi.org/10.1007/978-90-481-9884-9_15

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  • DOI: https://doi.org/10.1007/978-90-481-9884-9_15

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-9883-2

  • Online ISBN: 978-90-481-9884-9

  • eBook Packages: EngineeringEngineering (R0)

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