Geodesic
Investigation of a degenerate case of the motion of the Kovalevskaya top
Vestnik Moskovskogo universiteta. Matematika, mehanika, no. 3 (1982), pp. 75-77

Voir la notice de l'article provenant de la source Math-Net.Ru

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},
     publisher = {mathdoc},
     number = {3},
     year = {1982},
     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
PB  - mathdoc
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
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VMUMM_1982_3_a17/
%G ru
%F 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/