The periodic rotational motions of a rigid body near the collinear libration points of the circular restricted three-body problem

Astronomy and Astrophysics – Astronomy

Scientific paper

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Collinearity, Libration, Periodic Variations, Rigid Structures, Rotating Bodies, Three Body Problem, Oblate Spheroids, Poincare Spheres

Scientific paper

The Poincaresmall-parameter method is used to construct periodic solutions to the problem of the rotational motion of a rigid body symmetrical in terms of form and structure with respect to three mutually perpendicular planes. The small parameter is the dynamical oblateness of the body. The main bodies are axially symmetric ones having the plane of symmetry normal to the axis of symmetry.

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