Different approaches to Kovalevskaya top
Theoretical and applied mechanics, Tome 35 (2008) no. 4, p. 347
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In this paper we study the equations of motion of a rigid body around a fixed point in the case of Kovalevskaya. We give interpretation of the "mysterious substitution of variables" in Sofia Kovalevskaya's paper. The present paper also connects integration procedure proposed by Golubov with the original equations obtained by S. Kovalevskaya.
DOI :
10.2298/TAM0804347K
Classification :
70E17
Keywords: Kovalevskaya top, integrable case, integration procedure
Keywords: Kovalevskaya top, integrable case, integration procedure
@article{10_2298_TAM0804347K,
author = {Katarina Kuki\'c},
title = {Different approaches to {Kovalevskaya} top},
journal = {Theoretical and applied mechanics},
pages = {347 },
year = {2008},
volume = {35},
number = {4},
doi = {10.2298/TAM0804347K},
zbl = {1187.70022},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/TAM0804347K/}
}
Katarina Kukić. Different approaches to Kovalevskaya top. Theoretical and applied mechanics, Tome 35 (2008) no. 4, p. 347 . doi: 10.2298/TAM0804347K
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