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Gravitational Potential of a Massive Disk. Dynamics Around an Annular Disk

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Nonlinear Science and Complexity

Abstract

This article studies the main features of the dynamics around an annular disk. The first part addresses the difficulties finding a usable expression of the gravitational potential of a massive disk that will be used later on to define the differential equations of motion of our dynamical system.

The second part of the article describes the dynamics of a particle orbiting a massive annular disk by means of a description of the main families of periodic orbits, their bifurcations and linear stability.

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References

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Acknowledgements

This paper has been supported by the Spanish Ministry of Education and Science, Project AYAP2008-05572.

Author information

Authors and Affiliations

  1. Dpto. Matemática Aplicada, Universidad de Zaragoza, Zaragoza, Spain

    E. Tresaco

  2. IUMA/Dpto. Matemática Aplicada, Universidad de Zaragoza, Zaragoza, Spain

    A. Elipe

  3. Dpto. Matemática Aplicada, Universidad de Valladolid, Soria, Spain

    A. Riaguas

Authors
  1. E. Tresaco
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  2. A. Elipe
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  3. A. Riaguas
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Corresponding author

Correspondence to E. Tresaco .

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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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Tresaco, E., Elipe, A., Riaguas, A. (2011). Gravitational Potential of a Massive Disk. Dynamics Around an Annular Disk. 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_14

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  • DOI: https://doi.org/10.1007/978-90-481-9884-9_14

  • 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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