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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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