Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 75-77
Citer cet article
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/
@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/}
}
TY - JOUR
AU - M. Yu. Arkhangel'skaya
TI - Investigation of a degenerate case of the motion of the Kovalevskaya top
JO - Vestnik Moskovskogo universiteta. Matematika, mehanika
PY - 1982
SP - 75
EP - 77
IS - 3
UR - http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a17/
LA - ru
ID - VMUMM_1982_3_a17
ER -
%0 Journal Article
%A M. Yu. Arkhangel'skaya
%T Investigation of a degenerate case of the motion of the Kovalevskaya top
%J Vestnik Moskovskogo universiteta. Matematika, mehanika
%D 1982
%P 75-77
%N 3
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a17/
%G ru
%F VMUMM_1982_3_a17
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.
