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Treating a singular case for a motion of rigid body in a Newtonian field of force
Arch. Mech. 49 (6), 1091-1101, 1997
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Abstract
This paper presents a rotational motion of a rigid body about a fixed point in a Newtonian force field for a singular value of the natural frequency ω = 3. Such a singularity appears in [3] and has been never studied in full generality. Poincaré's small parameter method [4] is applied to investigate analytical periodic solutions, with non-zero basic amplitudes, for equations of motion of the body. A geometric interpretation of motion is given using Euler's angles to describe the orientation of the body at any instant of time.