This work aims to analyze the stability of the rotational motion of artificial satellites in circular orbit\r\nwith the influence of gravity gradient torque, using the Andoyer variables. The used method in this\r\npaper to analyze stability is the Kovalev-Savchenko theorem. This method requires the reduction\r\nof the Hamiltonian in its normal form up to fourth order by means of canonical transformations\r\naround equilibrium points. The coefficients of the normal Hamiltonian are indispensable in the\r\nstudy of nonlinear stability of its equilibrium points according to the three established conditions\r\nin the theorem. Some physical and orbital data of real satellites were used in the numerical\r\nsimulations. In comparison with previous work, the results show a greater number of equilibrium\r\npoints and an optimization in the algorithm to determine the normal form and stability analysis.\r\nThe results of this paper can directly contribute in maintaining the attitude of artificial satellites.
Loading....