Periodic solutions to a Hamiltonian system

Computer Science

Scientific paper

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95.10.Ce

Scientific paper

This paper presents a sufficiently complete and relatively elementary account (and justification) of a method of investigation of solutions to a Hamiltonian system with two degrees of freedom by calculating the families of periodic solutions. The goal of this paper is to present a theoretical basis for studies of the families of symmetrical periodic solutions to the restricted three-body problem by their intersections with the plane of symmetry.

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