Abstract
Dynamics of a gyrostat satellite moving along a circular orbit in a central Newtonian field of force is investigated. In a particular case, when the gyrostatic moment vector lies in one of the satellite’s principal central planes of inertia, all positions of equilibrium are determined, and the conditions of their existence are analyzed. Also determined are bifurcation values of dimensionless parameters, at which the number of equilibrium positions changes. As a result of analysis of the generalized energy integral, for each equilibrium orientation the sufficient conditions of stability are derived. Evolution of the regions where the sufficient conditions of stability are valid is investigated under variation of the system’s dimensionless parameters.
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Sarychev, V.A., Mirer, S.A., and Degtyarev, A.A., Equilibria and Stability of a Gyrostat Satellite with the Gyrostatic Moment Vector Lying in the Satellite’s Principal Plane of Inertia, Preprint of Keldysh Inst. of Applied Math., Russ. Acad. Sci., Moscow, 2005, no. 106.
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Original Russian Text © V.A. Sarychev, S.A. Mirer, A.A. Degtyarev, 2008, published in Kosmicheskie Issledovaniya, 2008, Vol. 46, No. 1, pp. 61–74.
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Sarychev, V.A., Mirer, S.A. & Degtyarev, A.A. Dynamics of a gyrostat satellite with the vector of gyrostatic moment in the principal plane of inertia. Cosmic Res 46, 60–73 (2008). https://doi.org/10.1134/S0010952508010085
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DOI: https://doi.org/10.1134/S0010952508010085