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- W1980879416 abstract "Asymptotically pendulum-like motions of a heavy rigid body whose centre of gravity lies on the perpendicular to the circular cross-section of the gyration ellipsoid (the Hess-Appel'rot gyroscope) is investigated. Lyapunov's theorem is used to show that the initial position and initial angular velocity of this gyroscope can also be chosen such, that its motion will tend asymptotically, as time increases without limit, to rotation about the horizontal axis. Since in this case the initial conditions do not satisfy the invariant Hess relation, it follows that the results described cannot be obtained by direct generalisation of /1/ where the asymptotically pendulum-like motions were obtained for the special case of the Hess solution by constructing the phase trajectories. Various examples of asymptotic motions in the classical problem of the motion of a heavy rigid body with a fixed point are shown in /1–5/." @default.
- W1980879416 created "2016-06-24" @default.
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- W1980879416 date "1984-01-01" @default.
- W1980879416 modified "2023-09-27" @default.
- W1980879416 title "Asymptotically pendulum-like motions of the hess-appel'rot gyroscope" @default.
- W1980879416 cites W1966852512 @default.
- W1980879416 doi "https://doi.org/10.1016/0021-8928(84)90145-x" @default.
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