The problem of translational motion for three rigid bodies - Particular solutions

Astronomy and Astrophysics – Astronomy

Scientific paper

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Axisymmetric Bodies, Body Kinematics, Equations Of Motion, Rigid Structures, Three Body Problem, Translational Motion, Axes Of Rotation, Celestial Mechanics, Gravitational Effects, Liapunov Functions, Rotating Bodies

Scientific paper

Equations of translational motion for three axisymmetric bodies are
derived in new form in terms of Lyapunov variables. This formulation
admits of triangular solutions corresponding to nutation-free-motion of
the bodies, accompanied by a uniform rotation about their axes of
symmetry.

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