Please use this identifier to cite or link to this item:
- Attitude stability of artificial satellites subject to gravity gradient torque
- Universidade Estadual Paulista (UNESP)
- Instituto Nacional de Pesquisas Espaciais (INPE)
- Universidade Federal do Rio de Janeiro (UFRJ)
- Coordenação de Aperfeiçoamento de Pessoal de Nível Superior (CAPES)
- Conselho Nacional de Desenvolvimento Científico e Tecnológico (CNPq)
- CNPq: 308111/2006-0
- CNPq: 304841/2002-1
- CNPq: 305147/2005-6
- The stability of the rotational motion of artificial satellites is analyzed considering perturbations due to the gravity gradient torque, using a canonical formulation, and Andoyer's variables to describe the rotational motion. The stability criteria employed requires the reduction of the Hamiltonian to a normal form around the stable equilibrium points. These points are determined through a numerical study of the Hamilton's equations of motion and linear study of their stability. Subsequently a canonical linear transformation is used to diagonalize the matrix associated to the linear part of the system resulting in a normalized quadratic Hamiltonian. A semi-analytic process of normalization based on Lie-Hori algorithm is applied to obtain the Hamiltonian normalized up to the fourth order. Lyapunov stability of the equilibrium point is performed using Kovalev and Savchenko's theorem. This semi-analytical approach was applied considering some data sets of hypothetical satellites, and only a few cases of stable motion were observed. This work can directly be useful for the satellite maintenance under the attitude stability requirements scenario.
- Celestial Mechanics & Dynamical Astronomy. Dordrecht: Springer, v. 104, n. 4, p. 337-353, 2009.
- Rotational motion of artificial satellites
- Non linear stability
- Acesso restrito
There are no files associated with this item.
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.