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- W46069582 abstract "Due to Poinsot’s theorem, the motion of a rigid body about a fixed point is represented as rolling without slipping of the moving hodograph of the angular velocity over the fixed one. If the moving hodograph is a closed curve, visualization of motion is obtained by the method of P.V. Kharlamov. For an arbitrary motion in an integrable problem with an axially symmetric force field the moving hodograph densely fills some two-dimensional surface and the fixed one fills a three-dimensional surface. In this paper, we consider the irreducible integrable case in which both hodographs are two-frequency curves. We obtain the equations of bearing surfaces, illustrate the main types of these surfaces. We propose a method of the so-called non-straight geometric interpretation representing the motion of a body as a superposition of two periodic motions." @default.
- W46069582 created "2016-06-24" @default.
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- W46069582 date "1968-01-01" @default.
- W46069582 modified "2023-10-18" @default.
- W46069582 title "Motion of a body in the case of L.N. Sretenskii" @default.
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- W46069582 doi "https://doi.org/10.1016/0021-8928(68)90082-8" @default.
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