Dynamics and chaos control of gyrostat satellite

V. S. Aslanov
V. V. Yudintsev
Тип материала: 
Год опубликования: 
Издательство, журнал, сборник.: 
Chaos, Solitons & Fractals, Volume 45, Issues 9–10, September–October 2012
1100 - 1107
Реферат, аннотация: 

We consider the chaotic motion of the free gyrostat consisting of a platform with a triaxial inertia ellipsoid and a rotor with a small asymmetry with respect to the axis of rotation. Dimensionless equations of motion of the system with perturbations caused by small asymmetries of the rotor are written in Andoyer-Deprit variables. These perturbations lead to separatrix chaos. For gyrostats with different ratios of moments of inertia heteroclinic and homoclinic trajectories are written in closed-form. These trajectories are used for constructing modified Melnikov function, which is used for determine the control that eliminates separatrix chaos. Melnikov function and phase space trajectory are built to show the effectiveness of the control.

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DOI 10.1016/j.chaos.2012.06.008


title = "Dynamics and chaos control of gyrostat satellite",
journal = "Chaos, Solitons & Fractals",
volume = "45",
number = "9–10",
pages = "1100 - 1107",
year = "2012",
note = "",
issn = "0960-0779",
doi = "10.1016/j.chaos.2012.06.008",
url = "http://www.sciencedirect.com/science/article/pii/S0960077912001324",
author = "Vladimir Aslanov and Vadim Yudintsev"