A new integrable problem in the dynamics of rigid bodies (Q1976790)
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scientific article; zbMATH DE number 1445948
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A new integrable problem in the dynamics of rigid bodies |
scientific article; zbMATH DE number 1445948 |
Statements
A new integrable problem in the dynamics of rigid bodies (English)
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26 July 2000
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The author considers the motion of a spherically symmetric rigid body about a fixed point under the action of an axisymmetric combination of potential and gyroscopic forces. The fourth additional quadratic integral is found for angular velocities on the zero level of integral of angular momentum.
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integrable motion of rigid body
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potential forces
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spherically symmetric rigid body
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fixed point
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gyroscopic forces
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quadratic integral
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angular momentum
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0.9696129
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0.96853554
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0.9620761
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0.9578336
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0.95126474
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0.94922876
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0.9477248
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0.94411653
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0.94288284
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0.94144356
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