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A new integral in the problem of rolling a ball on an arbitrary ellipsoid

โœ Scribed by A. V. Borisov; I. S. Mamaev; A. A. Kilin


Book ID
110131974
Publisher
SP MAIK Nauka/Interperiodica
Year
2002
Tongue
English
Weight
93 KB
Volume
47
Category
Article
ISSN
1028-3358

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The equations of motion of an ellipsoid on a smooth horizontal plane are similar to the equations of motion of a heavy rigid body with a fixed point. In general, one integral is also lacking in order to integrate them. For a triaxial ellipsoid, the centre of mass of which coincides with the geometri