This article is cited in 1 paper

150th anniversary of S.V. Kovalevskaya

Angular Velocity of the Kovalevskaya Top

I. N. Gashenenko

Institute of Applied Mathematics and Mechanics, of NAS of Ukraine, R. Luxemburg Str., 74, Donetsk, 83114, Ukraine

Abstract: Images of the Liouville tori and three-dimensional isoenergetic surfaces are constructed in movable space of angular velocities and all possible types of these invariant sets are classified. The characteristic properties of the angular momentum and the angular velocity of the Kovalevskaya top are indicated.

MSC: 70E17, 70E40

Received: 15.10.1999

Language: English

DOI: 10.1070/RD2000v005n01ABEH000127

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