Lagrange, Euler and Kovalevskaya tops

In classical mechanics, the precession of a top under the influence of gravity is not, in general, an integrable problem. There are however three famous cases that are integrable, the Euler, the Lagrange and the Kovalevskaya top. In addition to the energy, each of these tops involves three additional constants of motion that give rise to the integrability.

单词	Lagrange top
释义	Lagrange top 英语百科 Lagrange, Euler and Kovalevskaya tops In classical mechanics, the precession of a top under the influence of gravity is not, in general, an integrable problem. There are however three famous cases that are integrable, the Euler, the Lagrange and the Kovalevskaya top. In addition to the energy, each of these tops involves three additional constants of motion that give rise to the integrability.
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Lagrange top

Lagrange, Euler and Kovalevskaya tops