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Dynamics of a particle under the gravitational potential of a massive annulus: properties and equilibrium description

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Abstract

This paper studies the main features of the dynamics around a massive annular disk. The first part addresses the difficulties finding an appropriated expression of the gravitational potential of a massive disk, which will be used to define the differential equations of motion of our dynamical system. The second part describes the main features of the dynamics with special attention to equilibrium of the system.

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Authors and Affiliations

  1. Centro Universitario de la Defensa, 50090, Zaragoza, Spain

    Eva Tresaco & Antonio Elipe

  2. Grupo de Mecánica Espacial - IUMA, Universidad de Zaragoza, Zaragoza, Spain

    Eva Tresaco & Antonio Elipe

  3. Departamento de Matemática Aplicada, Universidad de Valladolid, 42004, Soria, Spain

    Andrés Riaguas

Authors
  1. Eva Tresaco
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  2. Antonio Elipe
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  3. Andrés Riaguas
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Correspondence to Eva Tresaco.

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Tresaco, E., Elipe, A. & Riaguas, A. Dynamics of a particle under the gravitational potential of a massive annulus: properties and equilibrium description. Celest Mech Dyn Astr 111, 431–447 (2011). https://doi.org/10.1007/s10569-011-9371-1

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  • DOI: https://doi.org/10.1007/s10569-011-9371-1

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