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A restricted charged four-body problem

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Abstract

We consider a restricted charged four body problem which reduces to a two degrees of freedom Hamiltonian system, and prove the existence of infinite symmetric periodic orbits with arbitrarily large extremal period. Also, it is shown that an appropriate restriction of a Poincaré map of the system is conjugate to the shift homeomorphism on a certain symbolic alphabet.

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Authors and Affiliations

  1. Departament de Matemàtica Aplicada i Anàlisi, Facultat de Matemàtiques, Universitat de Barcelona, Barcelona, Spain

    J. Casasayas

  2. Departament de Matemàtiques, Facultat de Ciències, Universitat Autónoma de Barcelona, Bellaterra, Barcelona, Spain

    A. Nunes

Authors
  1. J. Casasayas
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  2. A. Nunes
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Partially supported by a grant of the CGICT no. P1386-0351.

On leave of absence from Departamento de Fisica, Universidade de Lisboa. Partially supported by a grant of Fundaçao Calouste Gulbenkian no. 32/85/13.

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Casasayas, J., Nunes, A. A restricted charged four-body problem. Celestial Mech Dyn Astr 47, 245–266 (1989). https://doi.org/10.1007/BF00053454

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  • DOI: https://doi.org/10.1007/BF00053454

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