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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
On a disk rolling within a sphere
A. G. Kholmskaya Laboratory of non-linear dynamics and synergetics,
Udmurt State University,
Universitetskaya, 1, Izhevsk, 426034
Аннотация:
The rolling without sliding of a round axisymmetrical disk within a sphere is investigated. It is shown that in the absence of a gravity field the problem is integrable in quadratures and the measure of the set of falling orbits is zero. Stationary motions, their necessary and sufficient conditions for stability have been analysed. The trajectory of a contact point has been found. It also has been proved that in a gravitational field almost for all initial conditions the disk will never fall down on the sphere and stationary motions have been considered.
Поступила в редакцию: 15.03.1998
Образец цитирования:
A. G. Kholmskaya, “On a disk rolling within a sphere”, Regul. Chaotic Dyn., 3:1 (1998), 86–92
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd932 https://www.mathnet.ru/rus/rcd/v3/i1/p86
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Страница аннотации: | 71 |
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