Abstract
We consider the equilibria of a satellite in a circular orbit under the action of gravitational and constant torques. The number of equilibria depending on the parameters of the problem is found by the analysis of an algebraic equation of order 6. The domains with different numbers of equilibria are specified, and the equations of boundary curves are determined in function of values of the components of constant torque. Classification of different distributions of number of equilibria is made for arbitrary values of the parameters.
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References
Beletsky, V. V.: 1975, Attitude Motion of Satellite in Gravitational Field, MGU Press, Moscow.
Frik, M. A.: 1970, 'Attitude stability of satellite subjected to gravity gradient and aerodynamic torques', AIAA J. 8(10), 1780-1785.
Garber, T. B.: 1963, 'Influence of constant disturbing torques on the motion of gravity-gradient stabilized satellites', AIAA J. 1(4), 968-969.
Kurosh, A. G.: 1975, Superior Algebra. Nauka, Moscow.
Likins, P. W. and Roberson, R. E.: 1966, 'Uniqueness of equilibrium attitudes for earth-pointing satellites', J. Astronaut. Sci. 13(2), 87-88.
Longman, R. W.: 1975, 'Attitude equilibria and stability of arbitrary gyrostat satellites under gravitational torques', J. Br. Interplanet. Sci. 28(1), 38-46.
Longman, P. W. and Roberson, R. E.: 1966, 'General solution for the equilibria of orbiting gyrostat subject to gravitational torques', J. Astronaut. Sci. 16(2), 49-58.
Nurre, G. S.: 1968, 'Effects of aerodynamic torque on an asymmetric gravity-stabilized satellite', J. Spacecraft Rockets 5(9), 1046-1050.
Roberson, R. E.: 1966, 'Equilibria of orbiting gyrostats', J. Astronaut. Sci. 15(5), 242-248.
Sarychev, V. A.: 1965, 'Asymptotically stable stationary rotational motion of a satellite', In: Proc. 1st IFAC Symp. on Automatic Control in Space, Stavanger, Norway.
Sarychev, V. A. and Gutnik, S. A.: 1994, 'Equilibria of a satellite subject to gravitational and constant torques', Cosmic Res. 32(4-5), 43-50.
Sarychev, V. A. and Mirer, S. A.: 2000, 'Relative equilibria of a satellite subjected to gravitational and aerodynamic torques', Celest. Mech. & Dyn. Astr. 76(1), 55-68.
Sarychev, V. A. and Mirer, S. A.: 2001, 'Relative equilibria of a gyrostat satellite with internal angular momentum along a principal axis', Acta Astronaut 49(11), 641-644.
Sarychev, V. A., Paglione, P. and Guerman, A.: 1997, 'Equilibria of a satellite in a circular orbit: the influence of a constant torque', In: Proc. 48th International Astronautical Congress, Paper IAF-95-A.3.09, Turin, Italy.
Sazonov, V. V.: 1989, 'On a mechanism of loss of stability in gravity-oriented satellite', Cosmic Res. 27(6), 836-848.
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Sarychev, V.A., Guerman, A. & Paglione, P. Influence of Constant Torque on Equilibria of Satellite in Circular Orbit. Celestial Mechanics and Dynamical Astronomy 87, 219–239 (2003). https://doi.org/10.1023/B:CELE.0000005713.66553.88
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DOI: https://doi.org/10.1023/B:CELE.0000005713.66553.88