Investigation of a degenerate case of the motion of the Kovalevskaya top
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 75-77
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A complete study of the initial conditions which correspond to the degenerate molion of the Kovalevskaya top is carried out in the case where $e_3=e_4=s_2$. We obtain new motions and give a geometric interpretation of them. It is shown, in particular, that the symmetry axis of the body in the first approximation is moving periodically describing a cardioid on a fixed sphere.
@article{VMUMM_1982_3_a17,
author = {M. Yu. Arkhangel'skaya},
title = {Investigation of a degenerate case of the motion of the {Kovalevskaya} top},
journal = {Vestnik Moskovskogo universiteta. Matematika, mehanika},
pages = {75--77},
year = {1982},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a17/}
}
M. Yu. Arkhangel'skaya. Investigation of a degenerate case of the motion of the Kovalevskaya top. Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 75-77. http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a17/