This article is cited in 3 papers

On asymptotics of the solution of Chaplygin equation

M. V. Deryabin

Faculty of Mechanics and Mathematics, Department of Theoretical Mechanics, Moscow State University, Vorob'ievy gory, 119899 Moscow, Russia

Abstract: Chaplygin problem on a heavy rigid body falling in the ideal vortexless fluid resting at infinity. As it is well-known, without "initial impact", for almost all initial condition the rigid body tends to fall with its widest side ahead. The asymptotical expression for the solution of Chaplygin equation for large time t is found. It is numerically proved as well that with the "initial impact" the rigid body tends to fall with widest side ahead.

MSC: 70E15

Received: 18.03.1998

Language: English

DOI: 10.1070/RD1998v003n01ABEH000065

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