One type of periodic solutions of the restricted problem of the translational-rotational motion of three bodies

Statistics – Computation

Scientific paper

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Periodic Functions, Rotating Bodies, Three Body Problem, Translational Motion, Computational Astrophysics, Liapunov Functions, Libration

Scientific paper

Two families of periodic solutions of the problem of the
translatory-rotary motion of three rigid bodies, which were found near
rectilinear points of libration by the Liapunov method, are presented.
The restricted problem of the motion of rigid bodies under the influence
of mutual attraction is considered.

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