Geodesic
On the motion of a material point on a rotating sphere with dry friction (the case of the vertical axis)
Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 369-383

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

The motion of a heavy point on the surface of a rotating sphere is considered. It is assumed that the rotation axis does not coincide with the vertical diameter of the sphere and the angular velocity of the sphere is constant. The Lagrange equations for this system are derived. Sets of relative equilibria are found and their dependence on the parameters of the system is studied in extreme cases when the magnitude of the angular velocity or the distance between the rotation axis and the center of the sphere is large. The results are represented in graphic form. The same graphic series are also numerically plotted in the general case.
Keywords: motion of a particle on a sphere, dry friction
Mots-clés : relative equilibria. 
@article{ND_2016_12_3_a5,
     author = {E. S. Shalimova},
     title = {On the motion of a material point on a rotating sphere with dry friction (the case of the vertical axis)},
     journal = {Russian journal of nonlinear dynamics},
     pages = {369--383},
     publisher = {mathdoc},
     volume = {12},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2016_12_3_a5/}
}
TY  - JOUR
AU  - E. S. Shalimova
TI  - On the motion of a material point on a rotating sphere with dry friction (the case of the vertical axis)
JO  - Russian journal of nonlinear dynamics
PY  - 2016
SP  - 369
EP  - 383
VL  - 12
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ND_2016_12_3_a5/
LA  - ru
ID  - ND_2016_12_3_a5
ER  - 
%0 Journal Article
%A E. S. Shalimova
%T On the motion of a material point on a rotating sphere with dry friction (the case of the vertical axis)
%J Russian journal of nonlinear dynamics
%D 2016
%P 369-383
%V 12
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ND_2016_12_3_a5/
%G ru
%F ND_2016_12_3_a5
E. S. Shalimova. On the motion of a material point on a rotating sphere with dry friction (the case of the vertical axis). Russian journal of nonlinear dynamics, Tome 12 (2016) no. 3, pp. 369-383. http://geodesic.mathdoc.fr/item/ND_2016_12_3_a5/