Geodesic
The set of relative equilibria of a stationary orbital asymmetric gyrostat
Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 1, pp. 116-121

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

Under consideration is the well-known problem of relative equilibria (an equilibrium position in the orbital coordinate system) of a gyrostat satellite and their dependence on the design parameters. A new geometric approach to the analysis of the set of relative equilibria is developed. It is proposed to determine the relative equilibria in the corresponding three-dimensional Euclidean space using special aggregated parameters of the system by the coordinates of the intersection points of two pairs of corresponding hyperbolic cylinders with the sphere of the unit radius. It is shown that, for arbitrary values of the gyrostatic moment and other parameters of the system, there are at least eight different relative equilibria.
Keywords: orbital gyrostat, circular orbit, central Newtonian field of attraction forces, structure of the set of equilibria.
Mots-clés : relative equilibria 
@article{SJIM_2019_22_1_a10,
     author = {S. V. Chaikin},
     title = {The set of relative equilibria of a stationary orbital asymmetric gyrostat},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {116--121},
     publisher = {mathdoc},
     volume = {22},
     number = {1},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2019_22_1_a10/}
}
TY  - JOUR
AU  - S. V. Chaikin
TI  - The set of relative equilibria of a stationary orbital asymmetric gyrostat
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2019
SP  - 116
EP  - 121
VL  - 22
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2019_22_1_a10/
LA  - ru
ID  - SJIM_2019_22_1_a10
ER  - 
%0 Journal Article
%A S. V. Chaikin
%T The set of relative equilibria of a stationary orbital asymmetric gyrostat
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2019
%P 116-121
%V 22
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2019_22_1_a10/
%G ru
%F SJIM_2019_22_1_a10
S. V. Chaikin. The set of relative equilibria of a stationary orbital asymmetric gyrostat. Sibirskij žurnal industrialʹnoj matematiki, Tome 22 (2019) no. 1, pp. 116-121. http://geodesic.mathdoc.fr/item/SJIM_2019_22_1_a10/