A restricted charged four-body problem

Details A restricted charged four-body problem A restricted charged four-body problem

Sep 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989cemda..47..245c&link_type=abstract

Celestial Mechanics and Dynamical Astronomy, Volume 47, Issue 3, pp.245-266

Astronomy and Astrophysics

Astronomy

Scientific paper

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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