About the non-existence of additional analytical integral in the problem of satellite's motion under the gravitatonal attraction of a triaxial rigid body
โ Scribed by A. H. Borham
- Publisher
- Springer Netherlands
- Year
- 1983
- Tongue
- English
- Weight
- 191 KB
- Volume
- 29
- Category
- Article
- ISSN
- 1572-9478
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๐ SIMILAR VOLUMES
The problem of the existence of integrable cases of the Euler and Lagrange types, and also particular integrals of the Hess and Appel'rot type without additional assumptions on the value of the area integral, is considered for the problem of the motion of a heavy rigid body about a fixed point with
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