Periodic solutions of the restricted elliptical three-body problem in the vicinity of triangular libration points

Physics

Scientific paper

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Celestial Mechanics, Libration, Periodic Functions, Three Body Problem, Eccentricity, Elliptic Differential Equations

Scientific paper

The equations of the restricted elliptical three-body problem are
considered. It is shown that, for certain values of the mass parameter
and small values of eccentricity, these solutions admit - in the
vicinity of triangular libration points - periodic solutions that are
different from these points.

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